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Fluid Mechanics

CE 505

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2082 ShrawanChapter 10: Similitude and Physical Modeling10.2 Rayleigh and Buckingham Methods

Using Buckingham’s (\pi)-method, show that the resistance ‘F’ to the motion of sphere of diameter ‘D’ moving with a uniform velocity ‘V’ through a real fluid of density ‘(\rho)’ and viscosity ‘(\mu)’ is given by: (F=\rho D^2V^2 f\left(\frac{\mu}{\rho VD}\right)).

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