The figure shows a vertical pipe of uniform cross-section in which a liquid of density $\rho$ is flo

Question

The figure shows a vertical pipe of uniform cross-section in which a liquid of density $\rho$ is flowing upwards. If $v_A$ and $v_B$ be the velocities of the fluid at points $A$ and $B$ separated by a distance $h ; p_A$ and $p_B$ are the respective pressures at the two points, then

Professor PC Thomas Classes · Answer

Applying Bernoulli's equation $\rho \frac{v_A^2}{2}+0+p_A=\rho \frac{v_B^2}{2}+\rho g h+p_B$ (assuring datum at the point $A$ ) since $v_A=v_B$ from continuity equation, therefore, $ p_A=p_B+\rho g h $