Home
Class 12
PHYSICS
The velocity of liquid (v) in steady flo...

The velocity of liquid (v) in steady flow at a location through cylindrical pipe is given by `v=v_(0)(1-(r^(2))/(R^(2)))`, where r is the radial distance of that location from the axis of the pipe and R is the inner radius of pipe. If R = 10 cm. volume rate of flow through the pipe is `pi//2 xx 10^(-2) m^3s^(-1)` and the coefficient of viscosity of the liquid is 0.75 N s`m^(-2)`, find the magnitude of the viscous force per unit area, in N`m^(-2)` at r = 4 cm.

Promotional Banner

Similar Questions

Explore conceptually related problems

A tube of length 1 and radius R carries a steady flow of fluid whose density is rho and viscosity eta . The velocity v of flow is given by v=v_(0)(1-r^(2)//R^(2)) Where r is the distance of flowing fluid from the axis.

A liquid flows through a pipe of 1.0 mm radius and 10cm length under a pressure 10^4 dyne cm^(-2) . Calculate the rate of flow and the speed of the liquid coming out of the tube. The coefficient of viscosity of the liquid is 1.25 centipoise.

A liquid flows throug ha pipe of 1.0 mm radius and 10 cm length under a pressure 10^(4) dyne cm^(-2) . Calculate the rate of flow and the speed of the liquid coming out of the tube. The coefficient of viscosity of the liquid is 1.25 centipoise.

A liquid flows throug ha pipe of 1.0 mm radius and 10 cm length under a pressure 10^(4) dyne cm^(-2) . Calculate the rate of flow and the speed of the liquid coming out of the tube. The coefficient of viscosity of the liquid is 1.25 centipoise.

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.