Pressurized water at Tm,i200C is pumped atm2 kg/s from a
Chapter 8, Problem 8.73(choose chapter or problem)
Pressurized water at Tm,i?200C is pumped atm??2 kg/s from a power plant to a nearby industrialuser through a thin-walled, round pipe of inside dia-meter D?1 m. The pipe is covered with a layer ofinsulation of thickness t?0.15 m and thermal con-ductivity k?0.05 W/m?K. The pipe, which is oflength L?500 m, is exposed to a cross flow of air atT???10C and V?4 m/s. Obtain a differentialequation that could be used to solve for the variationof the mixed mean temperature of the water Tm(x) withthe axial coordinate. As a first approximation, theinternal flow may be assumed to be fully developedthroughout the pipe. Express your results in terms ofm?, V, T?, D, t, k, and appropriate water (w) and air (a)properties. Evaluate the heat loss per unit length of the pipe at the inlet. What is the mean temperature of the water at the outlet?
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