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Centrifugal pump draws water (r=62.4 lbm/ft^3) at a rate of 1200 gpm, and 70 degrees F (Volute Pressure =.3631 psia) from a reservoir through a 4 in diameter pipe and delivers it to a 2 in diameter discharge pipe. The pump is located 10 ft above the surface of the reservoir and the tests on the pluming system have revealed the viscous losses on the suction side can be expressed as h=2*10^-4*Q^2 (ft) ; where Q is in gpm. What is the pressure at the inlet (suction) side of the pump? What is the available NPSH for this system?
Determine the Biot number in order to support the lumped formulation. Solve the differential equation to find an expression for temperature as a function of time.
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