Industrial plant

In an industrial plant a shell-and-tube heat exchanger is heating water initially at 120°F by means of steam condensing at 280°F on the outside of the tubes. The heat exchanger has 50 steel tubes (ID = 0.052 ft and OD = 0.070 ft) in a tube bundle which is 10 ft long. The water flows through the tubes, while the steam condenses in the shell. Devise a Math Cad solution to calculate the water outlet temperature and the tube-side pressure drop as the water flow rate is varied from 0 lbm/hr to 600,000 lbmlhr. Use (J’ = 0.4 for the pressure-drop calculations. A reasonable transition Reynolds number is 1,500. Plot the results in terms of the water mass flow rate; clearly show the change in performance and parameters at transition. (Consider mass flow rates that yield Reynolds numbers just above and just below the transition limit.) Useful parameters are (1) the water outlet temperature, (2) the rating, (3) the waterside convective heat transfer coefficient, and (4) the water-side pressure drop. Discuss the operation of the heat exchanger as the mass flow rate is varied. Be sure to state all assumptions. The properties of water can be considered as constant, and any corrections due to property variations can be neglected.