Chapter 14, Problem 39P

A water pump is used to pump water from one large reservoir to another large reservoir that is at a higher elevation. The free surfaces of both reservoirs are exposed to atmospheric pressure, as sketched in Fig. P 14-39. The dimensions and minor loss coefficients are provided in the figure. The pump' s performance is approximated by the expression $H_{available}=H_0-a{\stackrel{\dot{}}{V}}^2$ , where shutoff head $H_0=24.4m$ of water column, coefficient $a=0.0678m/{\left(Lpm\right)}^2$ available pump head $H_{available}$ is in units of meters of water column, and capacity is in units of liters per minute (Lpm). Estimate the capacity delivered by the pump. .

   $z_2-z_1=7.85m$ (elevation difference)

   $D=2.03cm$ (Pipe diameter)

   $K_L,entrance=0.50$ (Pipe entrance)

   $K_L,value=17.5$ (value)

   $K_L,elbow=0.92$ (each elbow-there are 5)

   $K_L,exit=1.05$ (pipe exit)

   $L=176.5m$ (total pipe length)

   $\epsilon =0.25mm$ (pipe roughless)