Startseite Technik Optimal Configuration of Finite Source Heat Engine Cycle for Maximum Output Work with Complex Heat Transfer Law
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Optimal Configuration of Finite Source Heat Engine Cycle for Maximum Output Work with Complex Heat Transfer Law

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Veröffentlicht/Copyright: 20. Juli 2022
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Abstract

A finite source heat engine’s optimal configuration is studied. The model includes thermal resistance, heat leakage, a complex heat transfer law, and a heat source with variable temperature. The optimization objective is that the output work is the largest. The influences of factors such as the heat transfer law and heat leakage are analyzed. The results of this paper are universal and inclusive, and provide certain theoretical support for the performance improvement of actual heat engines.

Acknowledgment

The authors wish to thank the reviewers for their careful, unbiased, and constructive suggestions, which led to this revised manuscript.

Nomenclature

C

heat capacity, J / K

C i

heat conductivity of heat leakage, W / ( m 2 · K )

g

heat conductivity, W / ( m 2 · K )

HTHS

high temperature heat source

L

Lagrangian function

LTHS

low temperature heat source

m

heat transfer index

n

heat transfer index

Q

heat flux, J

q

heat leakage, J

S

entropy, J / K

T

temperature, K

T

derivative of temperature

t

time, s

W

output work, J

Greek symbols

λ

Lagrangian constant

τ

cycle period, s

ξ

control variable

ξ

derivative of control variable

Subscripts

C

conversion point of working substance

H

high temperature

H C

working substance absorbed heat

i

heat leakage

L

low temperature

L C

working substance released heat

x

heat source

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Received: 2022-03-27
Revised: 2022-06-05
Accepted: 2022-07-04
Published Online: 2022-07-20
Published in Print: 2022-10-31

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