Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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The system below uses two heat engines, where the waste heat from HE1 is used as the heat source for HE2.

a) Find the overall efficiency of the system shown below as a function of the two individual efficiencies. In other words, find \( \eta_{\text{overall}} = f(\eta_1, \eta_2) \).

b) Based on part a, can the efficiency of the two heat engines ever be greater than 100%? If multiple (infinite?) heat engines are chained together in the same way, so that each heat engine is powered by the waste heat of the one before it, can the overall efficiency ever be greater than 100%?
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Transcribed Image Text:The system below uses two heat engines, where the waste heat from HE1 is used as the heat source for HE2. a) Find the overall efficiency of the system shown below as a function of the two individual efficiencies. In other words, find \( \eta_{\text{overall}} = f(\eta_1, \eta_2) \). b) Based on part a, can the efficiency of the two heat engines ever be greater than 100%? If multiple (infinite?) heat engines are chained together in the same way, so that each heat engine is powered by the waste heat of the one before it, can the overall efficiency ever be greater than 100%?
The diagram illustrates a two-stage heat engine system, consisting of two heat engines, labelled HE1 and HE2.

- **HE1** operates between a high temperature reservoir (denoted as \( T_H \)) and is supplied with heat energy \( \dot{Q}_H \). It generates work output \( \dot{W}_1 \).

- **HE2** operates between \( HE1 \) and a low temperature reservoir (denoted as \( T_L \)). \( HE2 \) receives the transferred heat energy \( \dot{Q}_M \) at an intermediate temperature \( T_M \) and transfers heat \( \dot{Q}_L \) to \( T_L \) while producing work \( \dot{W}_2 \).

Arrows represent the direction of heat and work flows. The cyclic arrows in HE1 and HE2 depict the cyclical nature of the engines' operation.
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Transcribed Image Text:The diagram illustrates a two-stage heat engine system, consisting of two heat engines, labelled HE1 and HE2. - **HE1** operates between a high temperature reservoir (denoted as \( T_H \)) and is supplied with heat energy \( \dot{Q}_H \). It generates work output \( \dot{W}_1 \). - **HE2** operates between \( HE1 \) and a low temperature reservoir (denoted as \( T_L \)). \( HE2 \) receives the transferred heat energy \( \dot{Q}_M \) at an intermediate temperature \( T_M \) and transfers heat \( \dot{Q}_L \) to \( T_L \) while producing work \( \dot{W}_2 \). Arrows represent the direction of heat and work flows. The cyclic arrows in HE1 and HE2 depict the cyclical nature of the engines' operation.
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