Chapter 8, Problem 8.38PP

Figure 8.15 shows a system for delivering lawn fertilizer in liquid form. The nozzle on the end of the hose requires $140$ kPa of pressure to operate effectively. The hose is smooth plastic with an ID of $25$ mm. The fertilizer solution has a specific gravity of $1.10$ and a dynamic viscosity of $2.0\times {10}^{-3}$ Pa s. If the length of the hose is $85$ m, determine (a) the power delivered by the pump to the solution and (b) the pressure at the outlet of the pump. Neglect the energy losses on the suction side of the pump. The flow rate is $95$ L/min.

1. Calculate the required height h of the water level in the tank in order to maintain $5.0$ psig pressure at point A.

Assuming that the pressure at point A is $5.0$ psig, calculate the power delivered by the pump to the water in order to maintain the pressure at point B at $85$ psig. Include energy losses due to friction, but neglect any other energy losses.