(1) In a double tube heat exchanger in which hot and cold fluids flow into a countercurrent flow, the temperature of the hot fluid dropped from 60°C to 30°C, and the temperature of the cold fluid rose from 20°C to 55°C. Calculate the heat flux [kcal/m2h] when the overall heat transfer coefficient of this heat exchanger is constant at 69 kcal/m2h℃.

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Author:Kreith, Frank; Manglik, Raj M.
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Chapter10: Heat Exchangers
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Problem 10.32P
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Answer the following questions about heat transfer in a double tube heat exchanger.
(1) In a double tube heat exchanger in which hot and cold fluids flow into a countercurrent flow, the temperature of the hot fluid dropped from 60°C to 30°C, and the temperature of the cold fluid rose from 20°C to 55°C. Calculate the heat flux [kcal/m2h] when the overall heat transfer coefficient of this heat exchanger is constant at 69 kcal/m2h℃.
(2) In a double tube heat exchanger in which hot and cold fluids flow in parallel flow, the temperature of the hot fluid dropped from 60°C to 45°C, and the temperature of the cold fluid rose from 20°C to 40°C. When the heat flux of this heat exchanger is 600 kcal/m2h, calculate the overall heat transfer coefficient of this heat exchanger [kcal/m2h℃].

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what's mean below sentence? i couldn't understand

θm=θ1-θ2lnθ1θ2=Thi-Tco-Tho-TcilnThi-TcoTho-Tci=60-55-30-20ln60-5530-20=7.2135 °C

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