The design of the heat exchanger calls for an effectiveness of 0.7
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The design of the heat exchanger calls for an effectiveness of 0.7

Problem 3 :

Water (cp = 4.180 kJ/kg-K) at 4.785 kg/s and 30°C is used to cool a hot gas at 90°C in a single shell heat exchanger with 2 tube passes. The design of the heat exchanger calls for an effectiveness of 0.7 and a ratio of heat capacities of 0.5 using 500 tubes of 16 mm diameter in a heat exchanger shell of length 4 m. The overall heat transfer coefficient is required to be 100 W/m2-K. What is the outlet temperature of the gas under these design constraints?

Hint
Engineering"To solve this problem, we can use the effectiveness-NTU method for heat exchangers. The overall heat transfer rate (Q) can be calculated as:Q = U × A × ΔTlm​where:U = overall heat transfer coefficient (given as 100 W/m²-K)A = total heat transfer areaΔ Tlm = log mean temperature differenceThe total heat transfer area (A) can be calculated as the product of the number of tubes (Nt), the ...
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