Flow Measurement

Derive the equation for measuring the discharge with the help of inclined Venturi meter with U-Tube differential manometer.

A venturi meter having the throat diameter 6 cm is used to determine the water discharge flowing through an inclined pipe of diameter 10 cm. If the manometer composed of mercury, glycerine and air in between shows the reading as shown in figure below, determine the discharge in the pipe. [All given dimensions are in cm.]

A pipe carrying water has a 30 cm × 15 cm venturimeter which is positioned inclined at 30° to the horizontal. The flow is upwards. The converging cone is 45 cm in length and the \(C_d\) of the meter is 0.98. A differential U-tube manometer with mercury as indicating fluid is connected to the inlet and to the throat and shows a differential column height of 30 cm. a) Calculate the discharge in the pipe. b) If the pressure in the inlet section is 50 kPa, determine the pressure at the throat. c) Find the head loss in the converging section of the venturimeter.