Question
Consider a cross-flow heat exchanger with a surface area of 10 m². The cold fluid has...
Consider a cross-flow heat exchanger with a surface area of 10 m². The cold fluid has a heat capacity rate of 2310 W/K and inlet and outlet temperatures of 25°C and 150°C respectively. The hot fluid has a heat capacity rate of 2000 W/K and an inlet temperature of 325°C. If the cold fluid can be considered mixed and the hot fluid unmixed, find the overall heat transfer coefficient, u, in W/m2.K, and the outlet temperature, in °C, of the hot fluid. i ! W/m2 K I5,0 = i °C
Answers
Given ( ) A = 10 m2 heat capacity cpc = 2310 w/k Thi Tci= 25°c, Tco= 150c Tho Tco ITC Cph = 2000 Wik Thi = 325°c cpes Cico - Tci) = Cph (Thi-Tno) (2310 WIk ) (150 - 25) = (2000 wlk) (325 - Tho) The = 180.625 LMTD for counter flow heat exchanger LMTD AT, – AT2 In OT, Come) AT2 AT, = Thi - Tco = 325-150 = 1759 AT2= Tho - Tc; = 180.625-25 = 155.62595 LMTD AT, - AT2 In CO) ATI A1, 175-155-625 In 155.625 165.1234e correction factor RE To-Tz 25 - 150 -0.865 tz- ti 180.625 - 325 ta-ti 180:625 - 325 = 0.48 Ti-ti 25 - 325 Correction factor F-0.9 Q = UAF (LMTD) (2310)(150-25) = 'ucio) (0-9) (165-123) U = 194-3 wlmos
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