Randall D. Knight — Fluids and Elasticity: Problem Problem_57

a. A nonviscous liquid of density \(\rho\) flows at speed \(v_0\) through a horizontal pipe that expands smoothly from diameter \(d_0\) to a larger diameter \(d_1\). The pressure in the narrower section is \(p_0\). Find an expression for the pressure \(p_1\) in the wider section. b. A pressure gauge reads \(60\text{ kPa}\) as water flows at \(10.0\text{ m/s}\) through a \(15\text{-cm}\)-diameter horizontal pipe. What is the reading of a pressure gauge after the pipe has expanded to \(20\text{ cm}\) in diameter?