An insulated pump receives liquid engine oil (??= 55 lbm/ft3, c = 0.442 Btu/lbm-R) at 75oF and 15 psia, and exhausts the oil at 3000 psia and 140oF. The mass flow rate of the oil is 1.2 lbm/s. Determine the power required by the pump
Given: P1 = 15 psia; T1 = 75oF; m?= 1.2 lbm/s; P2 = 3000 psia; T2 = 140oF
Water (Take State 1 as the inlet, State 2 as the outlet.)
Assume: Q?=0 (insulated). For a compressor, assume steady-state, steady-flow, single-inlet, single-outlet flow, with ?KE = ?PE = 0
What will be an ideal response?
With these assumptions, the First Law for open systems reduces to W?=m?(h1?h2)
Due to the limited data available, we will assume the oil is an incompressible substance with constant specific heats. As the pressure difference is large, h1 – h2 = c (T1 – T2) + v (P1 – P2)
v = 1/p= 0.01818 ft3/lbm
W?= (1.2 lbm/s)[0.442 Btu/lbm-R(75-140)R
+(0.01818 ft3/lbm)(15-3000)(lbf/in2)(144 in2/ft2)(1 Btu/778.17 ft-lbf)]
= -46.5 Btu/s = -65.8 hp
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