Chapter 6, Problem 12P

An incompressible liquid with negligible viscosity and density ρ = 1.75 slug/ft³ flows steadily through a horizontal pipe. The pipe cross-section area linearly varies from 15 in.² to 2.5 in.² over a length of 10 feet. Develop an expression for and plot the pressure gradient and pressure versus position along the pipe, if the inlet centreline velocity is 5 ft/s and inlet pressure is 35 psi. What is the exit pressure? Hint: Use relation

$u\frac{\partial u}{\partial x}=\frac{1}{2}\frac{\partial }{\partial x}(u^2)$