Using Buckinghams `pi` theorem, show that the velocity through a circular orifice is given by `V=root()(2gH)*phi[D/H,mu/(rhoVH)]` Where H= head causing flow D= diameter of the orifice `rho=` specific mass `mu=` coefficient of viscosity `g=` acceleration due to gravity [2069-Ashad] [8]

The viscosity of gas depends on its density, mean velocity of molecules, diameter of molecules, and mean path length. Ap…

The force in a circular cylinder depends on the free stream velocity V, diameter of cylinder D, density of fluid `rho`, …

Show that the resistance F to the motion of a sphere of diameter D moving with uniform velocity `V` through a real flui…

Given:Draining of tank from initial level `h_0` , time `T`, depends on tank diameter `D`, orifice diameter `d`,accelera…

For model governed by gravity forces, obtain the scaling ratios for time, discharge, force and power.

Define model. Write down its advantages and applications.

The torque developed by a water turbine depends on discharge Q head H, specific weight `gamma`, angular velocity `omega`…

Explain the Methods of Dimensional Analysis.