Consider the flow of a liquid through a pipe of varying cross section. Write the equation of continuity of flow.

Consider a fluid moving in a pipe of varying cross-sectional area where a_1 , a_2 are cross-sectional areas of pipe and v_1 , v_2 are the velocities of fluid. State Bernoulli's Principle.

A region of streamline flow of an incompressible fluid shown in the figure. By considering mass conservation in the fluid flow, arrive at the 'equation of continuity'.

A company manufacturing PVC pipes claims in an advertisement that the volume of water flowing out through the pipe in a given time is as per the equation V=KA^2ut where A is the area of cross section of the pipe, u is the speed of flow, t is the time and K is a dimensionless constant. Check the equation and state whether the claimis correct.