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Cooling water flows through thin-walled vertical copper tubes with speed of 1m/s. The ubes are 2.5cm in diameter. The tubes are 5m long and the

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Cooling water flows through thin-walled vertical copper tubes with speed of 1m/s. The ubes are 2.5cm in diameter. The tubes are 5m long and the water enters the tube at 293 6. The tube-wall temperature is maintained constant at TW=348K by condensing ethanol rapor of P=1atm on the outer surface. For ethanol, [at Tsat =351K,hfg=838kJ/kg, C_p(liq) =2400J/kgK, density ( liq) =740kg/m3, density ( gas )=1.4kg/m3,(l liq )=0.0005 kg/ms,k(liq)=0.17W/mK] a) What is the Reynolds number for water? Evaluate the fluid properties at the entrance temperature. b) Assume that Re=20,000 for water. What is the Nusselt number for the water-tube interface? Evaluate the fluid properties at the entrance temperature. c) Assuming laminar film condensation for ethanol, calculate the average heat transfer coefficient at the outside of the tube. (in W/m2K ) d) Assume inside and outside convective heat transfer coefficients are 3000 and 4500 W/m2K, respectively. Calculate the overall heat transfer coefficient, U. (in W/m2K ) e) Assuming overall heat transfer coefficient is U=2000W/m2K, calculate the exit temperature (bulk) of water. Evaluate the fluid properties at the entrance temperature. (in K)

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