Write a Matlab program to solve for Part (a) of Example 4.9-1. The program should ask the user to provide relevant variables (temperatures, flow rates, surface areas, etc.) and then use those variables to solve for the desired answer. Not just the final answer- but also al required intermediary steps should be clearly introduced and solved for your program.

EXAMPLE 4.9-1. Temperature Correction Factor for a Heat Exchanger A 1-2 heat exchanger containing one shell pass and two tube passes heats 2.52 kg/s of water from 21.1 to 54.4C by using hot water under pressure entering at 115.6 and leaving at 48.9C. The outside surface area of the tubes in the exchanger is A, -9.30 m2 (a) Calculate themean temperature difference ?T, in the exchanger and the overall heat-transfer coefficient U, (b) For the same temperatures but using a 2-4 exchanger, what would be the ??? Solution: The temperatures are as follows. 7,.-115.6C Tho-48.9C Tei 21.1C T. 54.4C First making a heat balance on the cold water assuming a cpm of water of 4187 J/kg K and T Ta (54.4 21.1)C 33.3C 33.3 K, q = mcpm(Tco-T,.) = (2.52X41 87X54.4-21.1) = 348 200 w 1.0 0.9 0.8 0.7 1.0 0.9 0.8 0.7 0.6 0.5 z- 4.0 2.0 1.0 0.60.2 4.0 2.0 1.0 0.6 10.2 3.0 1.5 0.8 0.4 3.0 1.5 0.810.4 0.5 00.2 04 0.60.8 1.0 Tco- Tei Thi Tei 0.2 0.4 0.6 0.8 1.0 co Ici Thi Tci FIGURE 4.9-5. Correction factor F t0 log mean temperature difference for cross-fow exchangers [Z = (Tu-7,MT,.-T,)]: (a) single pass, shell fluid mixed, other fluid unmixed, (b) single pass, both fuids unmixed. [Fronm R. A. Bowman, A. C. Mueller, and W. M. Nagle, Trans. A.S.M.E., 62, 288, 289 (1940). With permission. Sec. 4.9.Heat Exchangers 271