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# Solved: When discussing Carnot engines, it is assumed that

ISBN: 9780073398174 171

## Solution for problem 6154 Chapter 6

Thermodynamics: An Engineering Approach | 8th Edition

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Thermodynamics: An Engineering Approach | 8th Edition

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Problem 6154

When discussing Carnot engines, it is assumed that the engine is in thermal equilibrium with the source and the sink during the heat addition and heat rejection processes, respectively. That is, it is assumed that T* H 5 TH and T* L 5 TL so that there is no external irreversibility. In that case, the thermal efficiency of the Carnot engine is hC 5 1 2 TL/TH. In reality, however, we must maintain a reasonable temperature difference between the two heat transfer media in order to have an acceptable heat transfer rate through a finite heat exchanger surface area. The heat transfer rates in that case can be expressed as Q # H 5 (hA)H(TH 2 T * H) Q # L 5 (hA)L(T * L 2 TL) where h and A are the heat transfer coefficient and heat transfer surface area, respectively. When the values of h, A, TH, and TL are fixed, show that the power output will be a maximum when T * L T * H 5 a TL TH b 1/2 Also, show that the maximum net power output in this case is W # C,max 5 (hA)HTH 1 1 (hA)H/(hA)L c1 2 a TL TH b 1/2 d

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##### ISBN: 9780073398174

The full step-by-step solution to problem: 6154 from chapter: 6 was answered by , our top Engineering and Tech solution expert on 12/23/17, 04:44PM. Since the solution to 6154 from 6 chapter was answered, more than 610 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 17 chapters, and 2657 solutions. This textbook survival guide was created for the textbook: Thermodynamics: An Engineering Approach, edition: 8. The answer to “When discussing Carnot engines, it is assumed that the engine is in thermal equilibrium with the source and the sink during the heat addition and heat rejection processes, respectively. That is, it is assumed that T* H 5 TH and T* L 5 TL so that there is no external irreversibility. In that case, the thermal efficiency of the Carnot engine is hC 5 1 2 TL/TH. In reality, however, we must maintain a reasonable temperature difference between the two heat transfer media in order to have an acceptable heat transfer rate through a finite heat exchanger surface area. The heat transfer rates in that case can be expressed as Q # H 5 (hA)H(TH 2 T * H) Q # L 5 (hA)L(T * L 2 TL) where h and A are the heat transfer coefficient and heat transfer surface area, respectively. When the values of h, A, TH, and TL are fixed, show that the power output will be a maximum when T * L T * H 5 a TL TH b 1/2 Also, show that the maximum net power output in this case is W # C,max 5 (hA)HTH 1 1 (hA)H/(hA)L c1 2 a TL TH b 1/2 d” is broken down into a number of easy to follow steps, and 204 words. Thermodynamics: An Engineering Approach was written by and is associated to the ISBN: 9780073398174.

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Solved: When discussing Carnot engines, it is assumed that