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Dimensional-Analysis,-Similitude-and-Physical-Modelling

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

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Show that the resistance F to the motion of a sphere of diameter D moving with uniform velocity `V` through a real fluid of density `rho` and viscosity `mu` is given by, `F=rhoD^2V^2*f(mu/(rhoVD))`

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

The force in a circular cylinder depends on the free stream velocity V, diameter of cylinder D, density of fluid `rho`, viscosity of fluid `mu`, and time t. By using Buckinghamâ??s `pi` theorem show that `F=rhoV^2D^2*phi(mu/(rhoVD),(Vt)/D)` Take `rho,V, D` as repeating variables.

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

Dimensional Analysis

Similitude and Physical Modelling

Fluid-Mechanics