In a Rankine power system, 1.5 kg/s of steam leaves
Chapter 11, Problem 11.76(choose chapter or problem)
In a Rankine power system, 1.5 kg/s of steam leaves theturbine as saturated vapor at 0.51 bar. The steam is con-densed to saturated liquid by passing it over the tubes ofa shell-and-tube heat exchanger, while liquid water,having an inlet temperature of Tc,i?280 K, is passedthrough the tubes. The condenser contains 100 thin-walled tubes, each of 10-mm diameter, and the totalwater flow rate through the tubes is 15 kg/s. The aver-age convection coefficient associated with condensationon the outer surface of the tubes may be approximatedas ?5000 W/m2?K. Appropriate property values forthe liquid water are cp?4178 J/kg?K, ??70010?6kg/s?m, k?0.628 W/m?K, and Pr?4.6. (a) What is the water outlet temperature?(b) What is the required tube length (per tube)?(c) After extended use, deposits accumulating on theinner and outer tube surfaces provide a cumulativefouling factor of 0.0003 m2?K/W. For the prescribedinlet conditions and the computed tube length, whatmass fraction of the vapor is condensed?(d) For the tube length computed in part (b) and thefouling factor prescribed in part (c), explore theextent to which the water flow rate and inlet tem-perature may be varied (within physically plausibleranges) to improve the condenser performance.Represent your results graphically, and draw appro-priate conclusions.
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