Using the method of dimensions, derive an expression for rate of flow (v) of a liquied through a pipe of radius (r ) under a pressure gradient `(P//I)` Given that V also depends on coefficient of viscosity `(eta)` of the liquied.

The rate flow (V) of a liquid through a pipe of radius (r ) under a pressure gradient (P//I) is given by V = (pi)/(8)(P R^4)/(I eta), Where eta is coefficient of visocity of the liquied. Check whether the formula is correct or not.

Derive by the method of dimensions, an expression for the volume of a liquid flowing out per second through a narrow pipe. Asssume that the rate of flow of liwquid depends on (i) the coeffeicient of viscosity eta of the liquid (ii) the radius 'r' of the pipe and (iii) the pressure gradient (P)/(l) along the pipte. Take K=(pi)/(8) .

The rate of flow (V) of a liquid flowing through a pipe of radius r and pressure gradient (P//I) is given by Poiseuille's equation V = (pi)/(8)(Pr^4)/(etaI) Chack the dimensional correctness of this relation.

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on i) pressure gradient (P/l) , (ii) The radius, r and (iii) the coefficient of viscosity , eta . The value of the proportionally constant k =pi/8

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on (i) pressure gradient (p/l) , (ii) The radius, r and (iii) the coefficient of viscosity, eta . The value of the proportionality constant k = pi/8 .

Derive an expression for the rate of flow of a liquid through a capillary tube. Assume that the rate of flow depends on (i) pressure gradient (p/l) , (ii) The radius, r and (iii) the coefficient of viscosity, eta . The value of the proportionality constant k = pi/8 .

The rate of flow of a liquid through a capillary tube of radius r is under a pressure difference of P. Calculate the rate of flow when the diameter is reduced to half and the pressure difference is made 4 P?

The cirtical velocity (upsilon) of flow of a liquied through a pipe of radius (r ) is given by upsilon = (eta)/(rho r) where rho is density of liquid and eta is coefficient of visocity of the liquied. Check if the relaiton is correct dimensinally.