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`

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 of flow of liquid through a capillary tube in an experiment to determine the viscosity of the liquid increases

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) .

If Q is the rate of flow of liquid through a capillary tube of length l and radius r at constant pressure P, then the rate of flow of liquid through a capillary head is

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.

By the method of dimensions, obtain an expression for the surface tension S of a liquidk rising in a capillary tube. Assume that S depends on mass m of liquied, Pressure p of liquid and radius r of the capillary tube. Take K = 1//2 .

The rate of flow of liquid ina tube of radius r, length l, whose ends are maintained at a pressure difference P is V = (piQPr^(4))/(etal) where eta is coefficient of the viscosity and Q is

The critical velocity of the flow of a liquid through a pipe of radius 3 is given by v_c= (K eta/rp) , where p is the density and eta , is the coefficient of viscosity of liquid. Check if this relation is dimentionally correct.

The rate of flow of liquid through a capillary tube of length l and radius r is Q at a constant pressure p. The rate of flow of liquid through a capillary tube of radius r/2 and length 21 at the same pressure head will be_____