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Stephen's Problem Statement (Part 1): A double-pipe heat exchanger is heating a hydrocarbon oil using saturated steam at 338F, where the steam condenses on the
Stephen's Problem Statement (Part 1): A double-pipe heat exchanger is heating a hydrocarbon oil using saturated steam at 338F, where the steam condenses on the outside of the tubes. The oil enters the tubes at 25F and leaves at 175F without changing phase. The tubes are 1 BWG 16 and comprised of mild steel. Re=DvPr=kCPGz=kLmCP=4RePrLDNu=khiD 1) Laminar flow with Gz>20 and no phase change: hi=2DkGz1/3(w)0.14 2) Turbulent flow, no phase change: hi=0.23DkRe0.8Pr1/3(w)0.14 3) Horizontal condenser tubes: ho=0.729((TdTw)Dofkf3f2gH^vap)1/4, where Tf=Td43(TdTw) Heat Exchanger equations: Uo=hi1(DiDo)+kwxw(DLDo)+ho11q=UATL Problem Statement (worth a total of 5 points): a) Sketch and label the system. (0.5 points) b) Write down the energy balance and use it to determine the mass flowrate of the steam that is condensed in lbm/hr. Specify what assumptions are required to solve for the mass flowrate. (0.5 points) c) Write down Newton's Law of Cooling for the water/tube interface (also known as the steam condensate/tube interface) and use it to determine the temperature of the tube wall Tw in F. Neglect resistance due to conduction through the tube wall. (1.5 points) d) Of the 3 empirical equations for h listed on page 1 , which one is relevant for the oil in this problem? Justify your response. (1.5 points) e) Determine the convective heat transfer coefficient hi of the oil in units of Btu/hr*ft 2F using the equation you specified in part d. Natural convection and resistance due to conduction through the tube wall can be ignored in this calculation. (1.0 points)
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