TU IOE · CE 704

Hydropower Engineering

Chapters
8
Questions
272

Past questions by syllabus

1.

Introduction

1.2

Power Potential in Nepal and World, Gross, technical and economic potentials

8 questions
1.3

Hydropower Development Policy of Nepal

13 questions
2.

Planning of Hydropower Projects

2.1

Types of Hydropower plants based on head, storage capacity and layout

5 questions
2.2

Stages of hydropower development: Reconnaissance, Pre-feasibility, Feasibility studies and detailed Engineering design

17 questions
  1. 2074 AshwinChapter 2: Planning of Hydropower Projects2.2 Stages of hydropower development: Reconnaissance, Pre-feasibility, Feasibility studies and detailed Engineering design

    What are the various stages of hydropower planning? If you have been appointed as a water resources engineer in Water Resources Ministry and you are assigned to undertake various investigations related to water resources field. Discuss field investigations you carry out at various stages of the hydropower project. [2+6]

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2.3

Layout of run-of-river and storage hydropower Projects, Components of Run-of River, Peaking Run-of River and Storage type projects

9 questions
  1. 2075 AshwinChapter 2: Planning of Hydropower Projects2.3 Layout of run-of-river and storage hydropower Projects, Components of Run-of River, Peaking Run-of River and Storage type projects

    A RoR plant has a minimum flow of 30 m³/s and net head of 70 m. The overall efficiency of plant is 85%. Calculate the installed capacity of the plant (i) Without pondage (designed for pure RoR plant) and (ii) If the plant is designed for a peaking plant with 6 hours peaking. The plant has two sets of units such that one unit full capacity if operating during off peak hour. Total evaporation and other losses is 5% of the stored water. [6]

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  2. 2079 Baishakh2079 BhadraChapter 2: Planning of Hydropower Projects2.3 Layout of run-of-river and storage hydropower Projects, Components of Run-of River, Peaking Run-of River and Storage type projects

    A hydropower plant is planned to be designed in Nepalese river, where mean monthly flows for a typical year are as follows [table with monthly flow, design discharge, full supply level, turbine centerline, tunnel & penstock diameters, efficiencies]. Considering only frictional loss, compute installed capacity, primary and secondary energy to be produced from the power plant assuming that 10% minimum monthly flow to be released downstream. What is the plant factor? The developer is interested to develop a daily peaking reservoir for 4 hours. What will be the capacity of the reservoir to satisfy daily peaking requirement? [2+2+2+2, 4]

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  3. 2082 BhadraChapter 2: Planning of Hydropower Projects2.3 Layout of run-of-river and storage hydropower Projects, Components of Run-of River, Peaking Run-of River and Storage type projects

    A concrete gravity dam has a specific gravity of 2.4 has the dimensions as shown in the figure below. Neglect all other forces except self-weight, hydrostatic force, and uplift pressure. The friction coefficient between the base and foundation of dam is 0.70, the coefficient of uplift pressure is 0.5, and the allowable crushing strength and tensile strength of dam materials are 30 kgf/cm² and 5 kgf/cm², respectively. Check the stability of dam. [12]

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3.

Power and Energy Potential study

3.1

Processing of hydrological data, Use of extreme and long term hydrological data, mass and elevation volume curves, flow duration curves

6 questions
  1. 2081 Baishakh2080 BaishakhChapter 3: Power and Energy Potential study3.1 Processing of hydrological data, Use of extreme and long term hydrological data, mass and elevation volume curves, flow duration curves

    Table below shows the inflow for one reservoir. i) By assuming the mean inflow as the draft, develop mass-curve of the reservoir. ii) Determine storage capacity and length of critical period. iii) Determine storage capacity if the draft is only 80% of the mean inflow and compare with storage capacity of (ii). [12]

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  2. 2076 AshwinChapter 3: Power and Energy Potential study3.1 Processing of hydrological data, Use of extreme and long term hydrological data, mass and elevation volume curves, flow duration curves

    During a low water week a river has an average daily flow of 40 m³/s with a fluctuation during the day required a pondage capacity of approximately 30% of the daily discharge. A hydroelectric plant is to be located on the river which will operate 6 days a week, 24 hours a day, but will supply power at a varying rate such that the daily load factor is 50%, corresponding to which the pondage required is equal to 0.2 times the mean flow to the turbine. On Saturday all the flow is ponded for use on the rest of the days. If the effective head on the turbines when the pond is full to 25 m and the maximum allowable fluctuation in pond level is 1m, find (i) the surface area of the pond to satisfy all the operating conditions (ii) the weekly output at the switch board in kwh. Assume turbine efficiency 80% and generator efficiency 90%. [5+5]

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  3. 2076 ChaitraChapter 3: Power and Energy Potential study3.1 Processing of hydrological data, Use of extreme and long term hydrological data, mass and elevation volume curves, flow duration curves

    The monthly flows of a stream over the period of the driest year on record are shown below [table]. (i) Estimate the maximum possible uniform draw-off from this stream and determine the reservoir capacity to achieve the uniform draw-off and the minimum initial storage to maintain the demand. (ii) If the reservoir has only a total capacity of 8×10⁶ m³ with an initial storage of 4×10⁶ m³, determine (a) the maximum possible uniform draw-off and (b) the spillage. [7+3+2]

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3.3

Reservoirs and their regulation, need for flow regulation, Source of sediment, sediment yield in Rivers, sediment handling in reservoirs, life of the reservoirs

1 question
3.4

Methods of fixing installed capacity of a hydropower plant

9 questions
  1. 2072 ChaitraChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    A hydropower plant is to be planned in a Nepalese river, where the mean monthly flows for a typical year are as follows:

    Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
    Q(m³/s) 4.4 3.9 3.4 4.2 5.6 16.5 78.1 108.9 52.8 22.0 9.9 6.4

    Other data pertaining to the plant are as follows: Design Discharge = 18 m³/s; Full Supply Level = 2250 masl; Turbine Center line = 1650 masl; Dia of 4.0 km long tunnel = 3.0 m, f=0.014; Dia of 1.0 km long penstock = 2.2 m, f=0.012; Hydraulic Efficiency = 95%; turbine efficiency = 93%; Generator Efficiency; Transformer efficiency = 99%. Considering only Frictional loss, a) Compute installed capacity, primary and secondary energy to be produced from the power plant assuming that 10% minimum flow to be released downstream. What is plant factor? [5+2] b) The developer is interested to develop a daily peaking reservoir for 4 hours. What will be the capacity of the reservoir to satisfy daily peaking requirement? [3]

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  2. 2080 BaishakhChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    A RoR hydropower plant is proposed in a river. Using marginal cost and benefit method optimize the installed capacity with following data: Interest rate = 12%; Energy price = $0.08/Kwh; Fixed cost = $60×10⁶; Variable cost (Electro-mechanical) = $650/KW; Annual O/M = 3% of variable cost; Project life = 35 years [table with %Time vs Power(KW)]. [8]

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  3. 2079 BaishakhChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    A hydropower plant is planned to be designed in Nepalese river, where mean monthly flows for a typical year are as follows:

    Months Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
    m³/s 4.4 3.9 3.4 4.2 4.2 16.5 78.1 108.9 52.8 22.0 9.9 6.4

    Other data pertaining to the plant are as follows: Design discharge = 18 m³/s; Full supply level = 2250 masl; Turbine centerline = 1650 masl; Dia of 4 km long tunnel = 3 m, f=0.014; Dia of 1 km long penstock = 2.2 m, f=0.012; Hydraulic efficiency = 95%, Turbine efficiency = 93%, Generator efficiency = 99%, Transformer efficiency = 99%. Considering only the frictional loss, (i) Compute installed capacity, primary and secondary energy to be produced from the power plant assuming that 10% of minimum monthly flow to be released downstream. What is the plant factor? [2+2+2+2] (ii) The developer is interested to develop a daily peaking reservoir for 4 hours. What will be the capacity of the reservoir to satisfy daily peaking requirement? [4]

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  4. 2071 ShawanChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    The mean monthly flows of a river in a typical dry year are as follows [table]. Other data: prevailing interest rate=12%, Energy selling price=Rs 5000/Mwh and 3000/Mwh for primary and secondary energy, installation (Electro-mech) cost = Rs 80000/kW, project life time = 40 yrs, overall efficiency of the plant = 87%, Effective head = 100m, O&M cost = 2% of electro mechanical cost, fixed cost = Rs 30×10⁹. a) Determine the installed capacity of such plant. b) Calculate the firm power of the plant, considering 95% probability of exceedance of flow. c) If the deficit in the firm power in the power system is 200 MW what is the storage capacity of reservoir to satisfy the demand. [5+2+2]

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  5. 2070 ChaitraChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    Hydropower project is planned to develop in a river having net head of 100 m and overall efficiency of 85% with the monthly hydrograph as shown below:

    Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
    Discharge 100 120 140 300 320 1800 2000 2500 2100 900 500 300

    i) Calculate installed capacity, annual spill energy and firm energy if RoR project is designed based on the 40% probability of exceedance flow. ii) If the storage project is developed with full regulation of annual hydrograph (design discharge is equal to average monthly flow), Calculate the storage requirements. iii) Calculate the installed capacity and annual energy generation from the storage project as mentioned in above case. [2+2+2+2]

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  6. 2082 BhadraChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    The mean monthly flow of a river at the headworks site of a ROR hydropower project is as follows [table]. Other data: net available head = 150 m; efficiency of turbine = 95%; efficiencies of generator = 97%; fixed cost = NRs. 10,00,00,00,000; variable cost (present worth value) = NRs. 1,50,000/kW; energy price = NRs. 10 per unit; interest rate = 10%; economic life of the project = 45 years. Estimate the best installed capacity, firm energy, secondary energy, total energy, and power factor of the project. [10]

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  7. 2082 BaishakhChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    The mean monthly flow of a river in a typical year are as follows [table]. The effective head of the ROR plant is 48 m and can be assumed constant. Other data: Fixed cost: USD 2795×10⁶; Variable cost: US$ 645/kW; Annual O&M cost: 2.5% of variable cost; Energy price: US$ 38/Mwh for primary and secondary energy; Interest rate: 11%; Economic life of the project: 45 years; Overall efficiency: 89%. Determine the best installed capacity, firm energy, secondary energy, total energy, and plant factor. [9]

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  8. 2081 BhadraChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    The mean monthly flows of a river in a typical year are as follows [table]. The gross available head is 229 m, and the average head loss in transition is 12m. The efficiencies of the turbines, gearboxes and generators are 94%, 92% and 99% respectively. 10 m³/s of water must be left in the river for downstream users. Other data: Fixed cost: US$1200×10⁶; Variable cost (present worth value): US$500/kW; Energy price: US$48/Mwh for primary and secondary energy; Interest rate: 12%; Economic life of the project: 50 years. Determine the best installed capacity, firm energy, secondary energy, total energy and plant factor of a run-of-river plant. [10]

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  9. 2071 ChaitraChapter 3: Power and Energy Potential study3.4 Methods of fixing installed capacity of a hydropower plant

    A hydropower project is planned to develop in a Nepalese River having net head of 150 m, turbine efficiency of 90% and generator efficiency of 95% with the monthly hydrograph as shown below:

    Months Oct Nov Dec Jan Feb Mar Apr May Jun Jul Aug Sep
    Q (m³/sec) 100 80 60 50 40 30 40 50 70 110 150 120

    As an environmental flow, a minimum flow of 10% of each month is mandatory. If the storage project is designed with full regulation of annual hydrograph, find out: the capacity of the reservoir; installed capacity of the power plant, and annual energy generation. [3+2+3]

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3.5

Estimation of Power and energy potential

3 questions
  1. 2078 BhadraChapter 3: Power and Energy Potential study3.5 Estimation of Power and energy potential

    A peaking ROR project in western Nepal with net head of 250m has following river flow data:

    Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
    River flow (m³/s) 100 80 80 105 200 500 1100 1200 800 350 200 120

    The storage capacity available for this project is 1100 million m³. This storage capacity is utilized for dry months (Nov-May) during which the plant is used as peak load plant 4 hours a day. Considering design flow as Q25, calculate maximum power generation (in MW) and ratio of wet season energy to dry season energy. [12]

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  2. 2081 Baishakh2080 BaishakhChapter 3: Power and Energy Potential study3.5 Estimation of Power and energy potential

    A hydropower electrical project has a concrete lined tunnel of 5.0 m diameter operating under a gross head of 200 m. Discharge through tunnel is 28 cumec and having surge tank of 300 m² at the end of tunnel. Head loss due to friction under a steady state condition is 2.5% of gross head. Assume friction factor of tunnel to be 0.015. Find Total length of tunnel; Maximum upsurge and downsurge in the tank; Calculate factor of safety of surge tank. [6]

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3.6

Mean and peak load, load curve, load factor, utilization and diversity factors

2 questions
  1. 2073 ShrawanChapter 3: Power and Energy Potential study3.6 Mean and peak load, load curve, load factor, utilization and diversity factors

    The power supplied by the state electricity authority throughout the year by steam power plant are as shown in table below [Month, Power Supplied(MW)]. But the current demand forced them to have loadshedding. To minimize the loadshedding by providing at least power equivalent to Magh month throughout the year, Authority has decided to import power from neighbouring country for only 3 months i.e. Falgun, Chaitra and Baisakh as 50 MW, 55 MW and 100 MW respectively. a) Despite importing power, authority felt that they can not provide uniform power of Magh throughout. So they decide to have a diesel plant for deficit. Estimate the minimum capacity of diesel plant. (Use load duration curve for analysis) b) If instead of above system (Steam plant + import + diesel plant), Authority has planned to provide power in near future by constructing ROR hydropower plant by its own to substitute the current model. Derive the Flow duration curve for such new hydro project to supply the power demand given in table. Assume power demand is constant in future. [5+5]

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4.

Headworks of Storage Plants

4.2.3

Dam site evaluation and selection of type of dam

2 questions
4.2.5

Failure modes of concrete and embankment dams and their remedies

1 question
4.2.6

Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

19 questions
  1. 2078 BhadraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Determine the basewidth of a 20m high trapezoidal concrete dam having a vertical upstream face and top width of 5m. Design water depth is 18m. There is no tail water. Ignore earthquake, silt and ice loads. Take e=B/6, σconcrete=30MPa, σfoundation=80MPa, τs=6MPa. Specific weights of water and concrete are 10kN/m³ and 24kN/m³ respectively. Assume suitable data, if necessary. [6]

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  2. 2081 Baishakh2080 BaishakhChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Calculate the forces and the principle stress and the shear stress at the toe and heel of the gravity dam section shown below. Check the dam against sliding, crushing, overturning and tension. Do not consider the forces other than self-weight, hydrostatic pressure and uplift pressure. Assume allowable compressive stress for the material of the foundation is 50 kg/cm², allowable crushing stress for the material of the dam body is 10.5 kg/cm², friction coefficient is 0.70 and uplift coefficient is 0.45. [12]

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  3. 2080 BaishakhChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    A concrete gravity dam has the following data: Maximum water level = 550.00; Bed level = 470.00; RL Top of Dam = 554.00; The d/s slope of 0.67:1 and starts at RL of 545.00; US face is vertical; Centre line of drainage gallery – 8.0 m from the u/s face; Consider only weight, water pressure and uplift. Calculate the maximum vertical stresses at the toe and heel of the dam. Also calculate factor of safety against sliding and over turning. Assuming 100% uplift pressure at heel, 50% at drainage gallery and zero at the toe. Take μ=0.75. [10]

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  4. 2074 AshwinChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Check the stability of the overflow section of the gravity dam shown in figure. Assume the weight of concrete, gates, piers and weight of water over crest, Wtotal=3.0×10⁴kN. Moment of weight of concrete, gates, piers and water above crest etc. about toe Mtoe=10⁶ kN-m. Neglect all forces other than weight, uplift pressure and water pressure. Also check for tension. Take μ=0.75 and q=1400 kN/m². [10]

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  5. 2073 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    A concrete gravity dam (trapezoidal in section) has height 20 m, top width 1.2 m and bottom width 10 m is proposed to block the water of height 18 m. The u/s face of the dam is vertical and the d/s face has slope 1:2 (H:V). Considering the forces: self weight, hydrostatic force and uplift pressure, check the stability of the dam. (Assume unit weight of concrete=24 KN/m³, permissible shear stress of joint as 1400 KN/m², coefficient of friction as 0.75, and uplift factor k as 0.8). Neglect the tail water effect to the dam. [8]

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  6. 2070 AshadChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    A concrete gravity dam on the rocky foundation is acted by the upstream horizontal hydrostatic force of 4.50 million KN and by the downstream the same of 0.50 million KN. Determine the volume of concrete works (γcon=24 KN/m³), neglecting bond stress and up lift force and taking a factor of safety on the horizontal thrust of 2.5 and a friction coefficient between the concrete and rock of 0.65. [8]

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  7. 2076 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Determine the principal stresses at the toe and heel of the dam shown in figure for the reservoir full conditions. Consider the following forces: (i) Self weight (wc=25kN/m³) (ii) Water pressure (w=10kN/m³) (iii) Uplift pressure (iv) Silt pressure the depth of silt as 20m (v) Earthquake forces, αh=0.1. [10]

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  8. 2076 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Determine the maximum and minimum vertical stresses to which the foundation of the dam will be subjected from the following data: Total overturning moment about toe (ΣMo)=1.2×10⁶ kN-m; Total resisting moment about toe (ΣMR)=2.5×10⁶ kN-m; Total vertical force above the base (ΣV)=6×10⁴ kN; Base width of dam = 55m; Slope of d/s face = 0.8:1. Also calculate the maximum principal stress at the toe. Neglect tail water depth. [2+2+2]

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  9. 2074 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Examine the stability of the gravity dam shown in figure below considering seismic effects. Also indicate the values of various kinds of stresses that are developed at heel and toe. Uplift may taken same as hydrostatic pressure at base of corresponding faces and is considered to act over 60% of the base area. Seismic coefficients (α) are 0.1 and 0.05 for horizontal and vertical directions respectively. Take, γc=24 KN/m³ and γw=10 KN/m³. [10]

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  10. 2073 ShrawanChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Check the stability of dam against overturning, sliding and material failure (stresses) with respect to worst location assuming that in addition to self weight, 25% of mass of dam will act as horizontal component (from upstream side) whereas 15% as upward vertical component as seismic load and will act at the CG of the section. Assume unit weight of the concrete as 24 kN/m³, allowable compressive stress in foundation and concrete as 2,500 kN/m² and 3,000 kN m², angle of friction between concrete and foundation as 36° and unit shear resistance between foundation and dam as 700 kN/m². [4+4+2]

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  11. 2072 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    A concrete gravity dam shown in figure below was constructed for hydropower project. The dam has a vertical upstream and inclined downstream face. The highest regulated water level (HRWL) of the dam is fixed at 1 m below the top crest level. At HRWL, the storage capacity of reservoir created by the dam is 60 mill m³. The reservoir capacity curve of the dam is shown in figure below. In a flood situation the 80 m long dam creat can serve as a spillway to discharge the flood. Assume density of concrete γc=24 KN/m³ and the friction angle between the dam and foundation φ=43°. a) Find all main forces acting on the dam when the water level in the reservoir is at HRWL. Give your answer in terms of base width "B". b) Find the bottom width "B" and downstream inclined angle α, if dam is at state of moment equilibrium with respect to downstream dam toe. Use a factor of safety against overturning as 1.4. c) Is the dam free from tensile stress? Find the required unit shear resistance (cohesion) if the shear safety factor of the dam is Fsf=2.5. d) In a flood event the dam shown on figure overtopped but didn't fail. The outflow discharge over the dam crest was estimated to 320 m³/s. During this time, the reservoir water level was raised to 722.5 masl(m above sea level). Find the discharge coefficient and give your comments of the value. [3+5+3+5]

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  12. 2070 ChaitraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    Determine the seepage discharge for the earthen dam having 33 m total height with 3m width impervious central core. Take top width of the dam is 7m and freeboard 3m. The coefficient of permeability of dam material is 4×10⁻⁶ m/sec and that of impervious core is 4×10⁻⁸ m/sec. The upstream and downstream slope of the dam is 3:1 and 2.5:1 respectively. [5]

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  13. 2082 BaishakhChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    The figure below (all dimensions are in m) shows the section of a concrete gravity dam. Neglecting the effects of earthquakes, check the stability of the dam. Also, calculate the intensity of the shear stresses on a horizontal plane near toe and heel. Assume the unit weight of concrete is 24 kN/m³. The allowable stress and average shear strength in the concrete may be taken as 2500 kN/m² and 2200 kN/m², respectively. Take μ=0.75. [12]

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  14. 2081 BhadraChapter 4: Headworks of Storage Plants4.2.6 Gravity (concrete) dam analysis, stability (overturning, sliding), stress and material failure

    The figure below shows the section of a concrete gravity dam. Neglecting the effects of earthquakes, check the stability of the dam. Also, calculate the intensity of the shear stress on a horizontal plane near the toe and heel. Assume the unit weights of water and concrete are 10 kN/m³ and 24 kN/m³, respectively. The allowable stress and average shear strength in the concrete may be taken as 2500 kN/m² and 2000 kN/m², respectively. Take μ=0.70. [12]

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4.2.7

Seepage Control and foundation treatment in Dams: Types of grouting and drainage and their necessity

5 questions
  1. 2076 AshwinChapter 4: Headworks of Storage Plants4.2.7 Seepage Control and foundation treatment in Dams: Types of grouting and drainage and their necessity

    Explain the necessity of grouting and drainage galleries in concrete gravity dam. Draw an elevation view of a concrete gravity dam showing the alignment of drainage galleries and series of grout holes. Drawing a section of concrete gravity dam show arrangement of vertical formed drain, trap drain and drainage hole. [2+4+4]

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4.2.8

Embankment Dam Analysis-phreatic line and seepage analysis

16 questions
  1. 2080 BhadraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    Determine the seepage line for a homogeneous earthen dam of height 22 m and top width 6 m retaining 20 m depth of water in the reservoir. The slope of the upstream and downstream faces of the dam is 45°. Also determine the seepage discharge, if the length of the dam is 3 km and the value of the coefficient of permeability of the dam material is 3×10⁻³ mm/s. [10]

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  2. 2069 ChaitraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    Find the specific discharge through homogeneous earthen embankment dam with 2 m thick central impervious core. Height of the dam = 50m; Upstream water level = 48.00m; Bed level = 470.00m; Width of the dam at the top = 10.00m; Upstream and downstream slope of the dam = 1:3 (V:H); Coefficient of permeability of the soil = 3 cm/hr; Coefficient of permeability of impervious core = 1.0×10⁻⁸ m/s. Also calculate co-ordinate of phreatic line. [8+2]

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  3. 2079 BaishakhChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    A homogeneous earthen dam has the following data: Dam crest level = 300.00masl; Deepest river bed level = 278.00masl; HFL in the reservoir = 297.50masl; Dam crest width = 4.50m; Dam u/s slope = 3:1; Dam d/s slope = 2:1 and coefficient of permeability of the dam material = 5×10⁻⁴ cm/s. Determine the phreatic line of the dam section and the discharge passing through the dam. [4+4]

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  4. 2071 ShawanChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    Determine the specific discharge of the flow through earthen embankment dam having 2.5 m thick centre impervious core. The upstream and downstream slopes of an earthen embankment dam are 1:1 and 2:1 respectively. The water depth at upstream is 25 m. The dam has a crest width of 4 m and free board of 2 m. The coefficient of permeability of dam body material and center impervious core are 2.5 cm/hr and 0.15 cm/hr respectively. Also draw the phreatic lines. [6+4]

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  5. 2069 ChaitraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    The u/s and d/s slope of a homogeneous earthen dam with 12m toe drain are 2:1 and 3:1 (H:V) respectively. The water depth at u/s of dam is 50m. The dam has a crest width of 20m and free board of 5m. The coefficient of permeability of dam material is 2.5 cm/hr. Calculate (i) Specific discharge through the body of dam (ii) co-ordinate of phreatic line. [10]

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  6. 2070 ChaitraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    Determine the specific discharge for the earthen dam having 33 m total height with 3m width impervious central core. Take top width of the dam is 7m and freeboard 3m. The coefficient of permeability of dam material is 4×10⁻⁶ m/sec and that of impervious core is 4×10⁻⁸ m/sec. The upstream and downstream slope of the dam is 3:1 and 2.5:1 respectively. [5]

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  7. 2082 BhadraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    An earthen dam made of homogenous material has the following data: Coefficient of permeability of dam material = 5.1×10⁻⁴ cm/sec; top level of dam = 290 masl; bed level of river = 235 masl; reservoir water level = 285 masl; top width of dam = 5 m; U/S slope of dam = 3:1; D/S slope of dam = 2:1. Determine the Phreatic line for the dam section and discharge passing through the dam. [8]

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  8. 2075 ChaitraChapter 4: Headworks of Storage Plants4.2.8 Embankment Dam Analysis-phreatic line and seepage analysis

    Find the specific discharge through homogeneous earthen dam with 2 m thick impervious core, as shown in figure. Given: (i) Height of the dam = 45m with free board as 3m, (ii) Upstream water level = 42m, top width of the dam = 8m, (iii) U/S and D/S side slope of the dam = 1V:3H, (iv) Coefficient of permeability of the dam material = 4×10⁻⁶ m/s and that of impervious core = 5×10⁻⁸ m/s. [4]

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4.3.1

General arrangement of Intakes for storage plants, Location, Hydraulics of intake

12 questions
  1. 2078 BhadraChapter 4: Headworks of Storage Plants4.3.1 General arrangement of Intakes for storage plants, Location, Hydraulics of intake

    Design and draw section of a side intake for a project in which river bed level is 3315.0 masl. Weir crest level is fixed to 3317.5 masl. The highest flood level in 100 years returned period is 3319.55 masl and flood level in 20 years return period is 3319.55 masl. The canal water level is fixed as 3317.3 masl. The turbine discharge of a period is 1.45 m³/s. Assume other suitable data. Take cylindrical trashrack bar with 10mm thick and 100mm spacing. [6]

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  2. 2071 ShawanChapter 4: Headworks of Storage Plants4.3.1 General arrangement of Intakes for storage plants, Location, Hydraulics of intake

    Design and draw section of a side intake with coarse trash racks for a project in which river bed level is 3315.0 m amsl. Weir crest level is fixed to 3317.5 m amsl. The highest flood level in 100 years return period is 3320.83 m amsl and flood level in 20 years return period is 3319.55 m amsl. The canal water level is fixed at 3317.5 m amsl. The design discharge is 1.45 m³/se. Assume other suitable data. [6]

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  3. 2082 BaishakhChapter 4: Headworks of Storage Plants4.3.1 General arrangement of Intakes for storage plants, Location, Hydraulics of intake

    Design an orifice type intake for a ROR plant having design discharge of 5 m³/s. The difference of elevations between the weir crest level and the river bed level is 2.5 m. The difference of elevations between the weir crest level and the designed canal water surface level is 0.3 m. The intake velocity is limited to 0.8 m/s. Take coefficient of discharge as 0.6, coefficient of contraction as 0.03, and coefficient of trash rack bar as 1.83. [7]

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4.4.1

Purpose of spillways, general arrangement, types, and hydraulics (sizing) of spillways, Cavitation in spillways, preventive measures

12 questions
  1. 2081 BhadraChapter 4: Headworks of Storage Plants4.4.1 Purpose of spillways, general arrangement, types, and hydraulics (sizing) of spillways, Cavitation in spillways, preventive measures

    Determine the minimum critical elevation of the top of the reservoir, which has a spillway with a maximum discharge capacity of 5127 m³/s. The spillway has five openings, each 12.2 m wide. The crest level of the spillway is 1250 m. Assume a discharge coefficient of 0.6 for the broad crested weir. [4]

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4.4.2

Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

9 questions
  1. 2079 BaishakhChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Determine the discharge through a chute spillway of 250.00 m long ogee crest, if the height of the spillway crest above the u/s approach channel is 10.50 m, the width of the approach channel is 2500 m, and the head over the crest is 4.50 m. Take Cd=0.85. [4]

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  2. 2081 Baishakh2080 BaishakhChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Check whether hydraulic jump type stilling basin is required or not for a hydropower project. Given that discharge is 100 cumec flowing through 10 m long overflow spillway. The height of spillway crest is 30 m from downstream bed with a slope of river as 1 in 500, Manning's roughness coefficient is 0.018 and coefficient of discharge is 0.75. [6]

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  3. 2078 BhadraChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    The discharge of water over a spillway 12m wide is 300m³/s into stilling basin of the same width. The lake level behind the spillway has an elevation of 50m and river water surface elevation downstream of stilling basin is 25m. Assume a 10% energy loss in flow down the spillway, find invert level elevation of the flow of the stilling basin so that hydraulic jump forms in the basin. Select an appropriate USBR stilling basin so that hydraulic jump forms in the basin so that hydraulic jump forms in the basin. Select an appropriate USBR stilling basin so that hydraulic jump forms in the basin and list all the dimensions. [10]

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  4. 2082 BaishakhChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Design an appropriate USBR-type stilling basin using the following data: Spillway discharge = 80 m³/s, Width of spillway = 8 m, Spillway crest level = 96 m, Riverbed level = 65 m, River bed slope = 1:500 and Manning's n = 0.016. [7]

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  5. 2070 ChaitraChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Design a hydraulic jump stilling basin at the toe of the spillway with the following data: Discharge = 80 m³/s; Width of the spillway = 8m; Spillway crest level = 96.00m; River bed level = 65.00m; Tail water level = 71.00m; Coefficient of discharge = 0.7; Downstream bed slope(i) = 1:500 and Manning's roughness coefficient = 0.016 and ratio of length of stilling basin and sequent depth = 5.1. [9]

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  6. 2075 AshwinChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Design a hydraulic jump stilling basin for the flood discharge 28 m³/s/m flowing from an ogee spillway with the spillway crest 55 m above the downstream gravel river bed with a slope 1:1000 and Manning's roughness coefficient 0.028. Assume coefficients of discharge, depth and length are 0.75, 1.2 and 4.5 respectively. Also assume sp.gr of sediment as 2.65. [10]

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  7. 2074 ChaitraChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Design a hydraulic jump stilling basin for the flood discharge 25 m³/s/m flowing from an overfall spillway with the spillway crest 60 m above the downstream gravel river bed with a slope 0.001 and manning's roughness coefficient 0.028. Assume, Cd=0.75, σ=1.2, k=4.5 and sp.gr=2.65. [10]

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  8. 2075 ChaitraChapter 4: Headworks of Storage Plants4.4.2 Methods of dissipating energy below a dam, stilling basin, ski-jump and flip buckets, their suitability, hydraulics of stilling basin, the role of tail-water in energy dissipation

    Estimate the minimum length of the concrete apron (So=0.001) for stilling basin downstream from an overflow spillway. The spillway crest is 15m long and consider a discharge of 115 m³/s. Manning's roughness factor n=0.025. Assume the stilling basin is the same width as the spillway crest. Assume any other suitable data if necessary. Refer figure below. [10]

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4.5

Types of gates and their location

1 question
5.

Headworks of Run-of-River (RoR) Plants

5.2

General requirements of a functional RoR headworks

3 questions
5.3

Intakes of RoR headworks: Location, Non pressure and pressurized intakes, General arrangement of intake, Control of bed load and floating debris in RoR intakes

3 questions
5.4

Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

18 questions
  1. 2080 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a settling basin for a design discharge of 6 cumec. The basin is designed to be removed particle size of 0.25 mm. If the depth of basin is 3 m and settling velocity 2.5 cm/sec, find the dimensions of the basin considering turbulence. [7]

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  2. 2081 Baishakh2080 BaishakhChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a settling basin for particle size = 6 mm, sp. gravity = 2.65, absolute viscosity = 1.34 gm/cm-s, temperature of water = 20°C, discharge = 12 m³/s. Calculate depth of sediment assuming concentration is 5000 ppm. Assume 15% flushing discharge and performance coefficient of Hazen = 0.16. Draw neat sketch of plan and section. [8+2]

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  3. 2080 BaishakhChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Find out the dimension of a settling basin with turbulence flow for a high head hydropower plant, which utilizes a discharge of 50 m³/sec. The sediment particles coarser than 0.2 mm (w=1.5 cm/sec) have to be trapped in the basin. Draw plan and section showing major components and flushing arrangement. [6+2]

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  4. 2079 BaishakhChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a settling basin for a high head project in a river which utilizes 60 m³/s discharge and gross head of 300 m. The sediment particle larger than 0.15 mm (fall velocity=1.5 cm/s) need to be trap in the basin. Consider effect of turbulence as well. [7]

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  5. 2079 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a continuous type settling basin with neat sketches for a hydropower plant using following data: Settling velocity = 5 cm/sec; Turbine discharge = 10 m³/sec; Particle size to be removed = 0.15 mm; Assume other necessary data if necessary. [8]

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  6. 2075 ChaitraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a settling basin for a high head project in a river which utilizes a discharge of 60 m³/s and gross head of 300 m. The sediment particle larger than 0.15 mm having fall velocity=1.5 cm/sec need to be trapped in the basin. Consider the effect of the turbulence and check the length of settling basin using Velikanov's method given correction factor λ=1.5. [8]

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  7. 2070 AshadChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Find out the dimensions of a continuous flushing settling basin for a high head project in Himalayan River which utilizes a discharge of 60 m³/s and head of 300 m. The sediment particles coarser than 0.15 mm have to be trapped in the basin. Consider the effect of the turbulence and check the length of basin using Valikanov's relation of the density of the silty water of 1.105 ton/m³. Draw plan and section of the basin showing major components. [6+3]

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  8. 2078 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a settling basin (i) with intermittant flushing (ii) continuous flushing for a hydroelectric plant by using the simple settling theory. The design discharge of the plant is 5m³/s and depth of the basin is 3.20. Take w=2.5cm/s and λ=1.5. Compare and justify the result. Assume 15% flushing discharge and efficiency=90%. [10]

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  9. 2075 ChaitraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Find out the dimensions of a settling basin for a high head project of Himalayan river which carry a discharge of 30 m³/s and a gross head of 100m. The sediment size to be removed is up to 0.20mm and fall velocity=2 cm/sec. If the turbulence is considered, what will be the dimension of the basin? Check the length of settling basin using Velikanov's method given correction factor λ=1.5. [8]

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  10. 2082 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a single chamber settling basin using the following data: design discharge=15 m³/sec; particle size to settle ≥0.2 mm; particle fall velocity=0.02 m/sec; factor of safety for basin area=1.5; length to breadth ratio=8; sediment concentration=1 kg/m³; density of sediment particles=2,500 kg/m³; settling time of sediment particles=8 hours, sediment packing factor=0.5; additional discharge for flushing=10%. [8]

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  11. 2081 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design a desander using the following data: Discharge=16 m³/s, particle size to be settled ≥0.2 mm, particle fall velocity=0.022 m/s, horizontal flow velocity=0.2 m/s. Consider two basins with a factor of safety for basin area of 1.5. Use length-to-breadth ratio of 6. Assume a sediment concentration of 1 kg/m³, a sediment particle density of 2650 kg/m³, a settling time of 1 day, a sediment packing factor of 0.5, and an additional 10% discharge for flushing. [7]

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  12. 2082 BaishakhChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Determine the dimensions of a desilting basin for a high head hydropower plant with a discharge of 32 m³/s. The basin must trap sediment particles coarser than 0.15 mm. Take w=0.025 m/s and λ=1.5. Additionally, draw a plan and longitudinal section of the desilting basin, illustrating the major components and the flushing arrangement. [5+2]

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  13. 2078 BhadraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    What are the general requirements of a functional RoR headworks? [5]

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  14. 2071 ChaitraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    What are minimum performance standards of the sound headworks? [3]

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  15. 2071 ChaitraChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Design the settling basin from the particle size and concentration approach and calculate the trap efficiency from the following data. (Refer figure 3 & 4): Design discharge=80 m³/s; Installed capacity of the plant=110 MW; Particle size to be removed=0.2 mm; Flushing discharge=1 m³/s; Number of basin=2; Water temperature=12°C; Manning's constant (n)=0.01 (If flushing system is continuous). Assume other necessary data if needed. If the flushing system is changed to intermittent with single basin what are the changes, describe with suitable reason. [8]

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  16. 2074 AshwinChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    Discuss briefly the design procedure of a settling basin of a hydropower plant based on particle size and concentration approach. [7]

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  17. 2074 AshwinChapter 5: Headworks of Run-of-River (RoR) Plants5.4 Sediment Handling measures: Methods of bed load and suspended load handling in RoR headworks, Design of settling basin (Particle and concentration approach), Estimation of sediment volume in Settling basin, Flushing of deposited sediment, estimation of frequency of flushing

    With considering turbulent effect, design a settling basin to remove the sediment size greater than 0.3 mm diameter. Assume design discharge of the basin is 8 m³/s and trap efficiency as 90%. [8]

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6.

Water Conveyance Structures

6.1

Hydraulic Tunnels, Geometrical shapes, hydraulic design (velocities, sizing), tunneling method, supports in tunnels, lining of tunnels

11 questions
6.2

Forebay and Surge Tanks: importance, general arrangement, condition of their application, hydraulic design

15 questions
  1. 2079 BhadraChapter 6: Water Conveyance Structures6.2 Forebay and Surge Tanks: importance, general arrangement, condition of their application, hydraulic design

    A RoR hydel plant has a circular surge tank of 13 m diameter at the end of 1.8 km long headrace pressure tunnel with 3.95 m diameter. The penstock system consists of 4 numbers, 400 m long, 1.30 m diameter each. Calculate maximum up-surge, down-surge and time of oscillations if frictional factor for tunnel and penstock are 0.016 and 0.025 respectively. [8]

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  2. 2074 ChaitraChapter 6: Water Conveyance Structures6.2 Forebay and Surge Tanks: importance, general arrangement, condition of their application, hydraulic design

    Differentiate between forebay and surge tank. Design a forebay which accumulated water for 3 minutes for operation of a hydropower plant having data as given below. Also check the length of fore bay and limiting velocity. Design discharge = 20 m³/s; Number of penstock = 1; Diameter of penstock = 2.2 m; Limiting velocity = 0.2 m/s. [2+6]

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  3. 2081 BhadraChapter 6: Water Conveyance Structures6.2 Forebay and Surge Tanks: importance, general arrangement, condition of their application, hydraulic design

    Design a forebay for a power plant with a design discharge of 14 m³/s. The system uses two penstock pipes, each with a length of 500 m and diameter of 2 m, to convey water. Assume a detention time of 3 minutes and a flow velocity of 0.2 m/s in the forebay. Additionally, design an appropriate spillway length for the forebay. [8]

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6.3

Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

19 questions
  1. 2081 Baishakh2080 BaishakhChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A hydropower electrical project has a concrete lined tunnel of 5.0 m diameter operating under a gross head of 200 m. Discharge through tunnel is 28 cumec and having surge tank of 300 m² at the end of tunnel. Head loss due to friction under a steady state condition is 2.5% of gross head. Assume friction factor of tunnel to be 0.015. Find Total length of tunnel; Maximum upsurge and downsurge in the tank; Calculate factor of safety of surge tank. [6]

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  2. 2078 BhadraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    What is economic diameter of penstock? A steel penstock with an internal diameter of 1.25 m, supplies water at a head equivalent to 18 kg/cm². There is a possibility of a 20% increase in pressure due to transient conditions. The design stress and efficiency of the joint may be assumed to be 1025 kg/cm² and 85% respectively. Compute the thickness of the penstock required. [2+4]

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  3. 2076 AshwinChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A penstock carries 8 m³/s of water at head of 25m. The cost of pipe line in place is given by US$250hd² per meter length, where h=head and d=diameter of the pipe. Annual fixed charges are 8% of the pipe line cost. The estimated head loss in friction is 0.025Q²/12.1d⁵ per m length of the pipe. Efficiency of the turbine is 80% and selling price of the power is US$500 per kW per annum. Calculate the most economic diameter of the penstock. [8]

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  4. 2082 BaishakhChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A hydropower project has a design discharge of 45 m³/s through a tunnel, which is conveyed by three penstocks to the turbines. The tunnel is 4 km long and 8 m in diameter, with a friction factor of 0.016. Each penstock is 500 m long and 2 m in diameter, with a friction factor of 0.04. The velocity of the wave in the penstocks is 1400 m/s. A surge tank with a diameter of 20 m is provided at the end of the tunnel. For a full load rejection, determine: a) Maximum up-surge b) Maximum down-surge c) Water hammer pressure d) Time of oscillation of wave [7]

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  5. 2082 BhadraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A hydropower project is designed to carry a flow of 7.5 m³/sec through a tunnel of diameter 2.5 m. A simple surge tank of diameter 7 m is located at a distance of 2,500 m from the reservoir. Calculate total time period of oscillation of wave for full load rejection. Also, estimate height of the surge tank. Take friction factor=0.018. [6]

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  6. 2080 BaishakhChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    In a hydropower project the headrace tunnel of 4.0 m diameter and 4000 m length carries 20 m³/s discharges to the surge tank of 10 m diameter. The penstock from surge tank to power house has 3.2 m diameter and 700 m length. Considering the case of instantaneous closure, find the maximum height of surge tank required and time period of oscillation of wave. Assume friction factor = 0.018. [8]

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  7. 2079 BaishakhChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A proposed hydropower development having a net head of 90 m, design discharge of 40 m³/s uses Francis's turbine. Taking turbine efficiency 0.86. Calculate specific speed, turbine diameter and setting of the turbine. [6]

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  8. 2075 AshwinChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A concrete penstock with an internal diameter of 3.0 m which supplies water from a head of 220 m with a possibility of increase in pressure upto 40% due to transit condition. Discuss the various factors which govern the determination of economic diameter of a penstock pipe. Find the wall thickness of penstock pipe if the internal diameter is 3.0 m which supplies water from a head of 220 m with a possibility of increase in pressure upto 40% due to transit condition. Take σst=1400 kg/cm² and efficiency of joint=0.95. [2+3]

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  9. 2073 ShrawanChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    Derive an expression for minimum upsurge without damping effect in the surge chamber using continuity and momentum equations. In a storage hydropower plant, water is delivered from upper impounding reservoir through low pressure headrace tunnel and three high pressure penstocks to three francis turbine units. The elevation of reservoir and tailwater level are 320 m and 200 m above datum respectively. It is decided to design a simple surge tank between headrace tunnel and penstocks for sudden rejection or demand of two units. If the maximum and minimum water level elevation in the surge tank is limited to 330 m and 310 m above datum respectively due to topography and construction difficulty, determine the minimum permissible length of low pressure headrace tunnel to fulfill the design objective. Given data: Discharge in tunnel=100 m³/s; Head race tunnel: diameter-7 m and head loss in tunnel=10% of gross head of system; Penstocks: each length 500 m, diameter 2.5 m, f=0.016. [3+7]

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  10. 2073 ChaitraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A hydropower project has a concrete lined tunnel of 4.22m diameter and 380m long pressure shaft of 3.41m diameter operating under a gross head of 250m. It has a surge tank of 15.85m diameter at end of tunnel. If the design discharge of the plant is 60m³/s and friction factors in tunnel and pressure shaft are 0.014 and 0.012 respectively, compute the maximum, minimum and normal water level at surge tank if the water level at reservoir is 457.00m. Draw neat sketches showing the calculated values. [8]

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  11. 2071 ChaitraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A power station is fed by a 2030m long concrete lined tunnel of 4.22m diameter and 380m long pressure shaft of 3.41m diameter operating under a gross head of 250m. It has a surge tank of 15.85m diameter at end of tunnel. If the design discharge of the plant is 60m³/s and friction factors in tunnel and pressure shaft are 0.014 and 0.012 respectively, compute the maximum, minimum and normal water level at surge tank if the water level at reservoir is 457.00m. Draw neat sketches showing the calculated values. [8]

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  12. 2074 AshwinChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A hydropower plant has planned to use a steel penstock of length 600m having diameter of 0.8m to carry a discharge of 5m³/s. The static head available is 80m. The wave velocity, design stress and joint efficiency for the penstock pipe are 1200m/s, 1326kg/cm² and 85% respectively. What thickness of the penstock pipe would you recommend for the power plant if the gate closure time is 30 seconds? [8]

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  13. 2069 ChaitraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A power station is fed by a 4000m long concrete lined tunnel of 5.0 m dia and 600m long pressure shaft of 4.0 m dia operating under a gross head of 250 m. If the design discharge of the plant is 60 m³/sec and the friction factors in tunnel and pressure shaft are 0.014 and 0.012 respectively, (i) Compute the sectional area required for mass oscillation in a surge tank (ii) Maximum upsurge and downsurge levels (iii) If the headwater level is 1048 m, find out the invert level of the headrace tunnel at surge tank. Also explain the importance of tunnel lining. [3+3+3+3]

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  14. 2070 AshadChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    The design discharge through the tunnel of a hydropower project is 60 m³/s is conveyed by three number of penstock to the turbine of 2 m diameter each. Take the length of tunnel is 7 km, diameter of tunnel is 10 m, friction factor of tunnel is 0.016, friction factor of penstock=0.04 and velocity of wave in penstock=1800 m/sec. If the surge tank of 30 m diameter has been provided at the end of the tunnel, find the following: (i) maximum up-surge and down-surge in the tank (ii) water hammers pressure (iii) Time of oscillation of wave. [4+2+2]

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  15. 2070 AshadChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    What do you mean by setting of turbine? The pipe line 1200 meter supplies water to 3 single jet pelton wheels. The head above the nozzle is 360 m. The velocity coefficient for the nozzle is 0.98 and the coefficient of the friction for the pipe line is 0.02. The turbine efficiency is 0.85. The specific speed of turbine is 15.3 rpm and loss head is 18 meter in pipeline due to friction. If the operating speed of each turbine is 560 rpm, determine (i) Total power developed (ii) Discharge (iii) Diameter of each jet and diameter of pipe line. [2+6]

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  16. 2079 BaishakhChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    The design discharge through the tunnel of a hydropower project is 25 m³/sec is conveyed by two number of penstock to the turbine. The length and diameter of tunnel is 4 km and 8m respectively, friction factor of tunnel is 0.016 and length of each penstock is 500 m, diameter and friction factor of penstock is 2m and 0.04 respectively and velocity of wave in penstock=1600 m/sec. If the surge tank of 15 m diameter has been provided at the end of the tunnel, find the following for full load rejection: (i) Maximum up-surge (ii) Maximum down-surge (iii) Water hammer pressure (iv) Time of oscillation of wave. [8]

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  17. 2071 ChaitraChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    What is economic diameter of penstock? Find the wall thickness of penstock pipe if the internal diameter is 3.0 m which supplies water from a head of 220 m with a possibility of increase in pressure upto 40% due to transit condition. Take σst=1400 kg/cm² and efficiency of joint=0.95. [2+3]

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  18. 2071 ShawanChapter 6: Water Conveyance Structures6.3 Penstocks and Pressure shaft: importance, conditions of their application, general arrangement, hydraulic transients (water hammer), Computation of hydrodynamic pressure, sizing of penstock/pressure shaft and estimation of thickness of steel in penstock/pressure shaft

    A penstock of discharge capacity 5m³/s is functioning for a hydropower with dynamic head of 50 m over the turbine. Determine its economic diameter. [2]

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7.

Hydro-electric Machines

7.1.2

Type of turbines, Pelton, Francis, Kaplan and Bulb turbines and their performance characteristics

4 questions
7.1.3

Selection of turbines and their specific speed, Turbine setting

12 questions
  1. 2075 AshwinChapter 7: Hydro-electric Machines7.1.3 Selection of turbines and their specific speed, Turbine setting

    A hydropower project the available river discharge is 300 m³/s and the net head is 30 m. If the speed of the turbine is to be 166.7 rpm and the overall efficiency is 88%, determine the number of units required for the turbine cases given below: (i) Francis turbines with specific speed not exceeding 267 rpm. (ii) Kaplan turbines with specific speed not exceeding 650 rpm. [3+3]

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  2. 2081 BaishakhChapter 7: Hydro-electric Machines7.1.3 Selection of turbines and their specific speed, Turbine setting

    Determine the overall efficiency of a Francis turbine developing 32 MW of power under a net head of 54 m. It is provided with a draft tube, which has an inlet diameter of 3 m and is set 2.2 m above the tailrace level. A vacuum gauge connected to the draft tube indicates a reading of 4.8 m of water. Assume the efficiency of the draft tube is 78%. [5]

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7.1.4

Preliminary design of Francis and Pelton turbines

9 questions
  1. 2080 BhadraChapter 7: Hydro-electric Machines7.1.4 Preliminary design of Francis and Pelton turbines

    The water turbine at a hydel storage plant produces 1000 HP when working under a net head of 30 m and with an overall efficiency of 80%. The inflow in the reservoir during a year is given below:

    Month Jan Feb Mar Apr May Jun July Aug Sep Oct Nov Dec
    Q (Mm³) 90 80 73 80 70 98 120 80 96 105 100 75

    Find, i) Minimum capacity required ii) Total quantity of the water wasted (Assume the reservoir is full in the beginning of the year). [4+4]

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  2. 2078 BhadraChapter 7: Hydro-electric Machines7.1.4 Preliminary design of Francis and Pelton turbines

    Consider the design of a multi-jet pelton wheel with parameters and operating conditions as given below: Head=200m; Flow rate=4m³/s; Nozzle velocity coefficient=0.98; Wheel dia.=1.47m; Mechanical efficiency=86%; Blade speed to jet speed ratio=0.47; Jet dia. to wheel dia. ratio=0.113. (i) Calculate the wheel rotational speed (rev/min). (ii) Calculate the power output (MW). (iii) Determine no. of nozzle required. (iv) Calculate specific speed of machine. [8]

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7.1.5

Scroll case and draft tubes, their importance

4 questions
8.

Powerhouse

8.1

Powerhouse types, general arrangement, dimension of powerhouse

24 questions