Water flows through an adiabatic pumping system at a steady flow rate (m) of 5 kg/s. The conditions at the inlet are p1 = 90 kPa, T1 = 15oC and z1 = 0 m; and the conditions at the exit are p2 = 500 kPa, T2 = 17oC and z2 = 200 m.
(a) Simplify the energy equation to derive an expression for the pumping power.
(b) Use the SL model to evaluate the pumping power (Wnet). Neglect any change in kinetic energy. What-if Scenario:
(c) What would the pumping power be if the exit temperature were 18oC?