Maximum work configuration for irreversible finite-heat-capacity source engines by applying averaged-optimal-control theory

Lingen Chen and Shaojun Xia

Physica A: Statistical Mechanics and its Applications, 2023, vol. 617, issue C

Abstract: A finite-heat-capacity source irreversible engine with irreversibility losses of bypass-thermal-leak and heat-resistances is investigated. Comprehensively considering that source heat-capacity is function of its temperature and bypass-thermal-leak and heat-resistance obey generalized form, optimality condition for the maximum work output is obtained by utilizing averaged-optimal-control theory. Detailed mathematical expressions of source heat-capacity, heat-transfer rates and bypass-thermal-leak rate are not prescribed. Generalized result is obtained. Effects of heat-capacity characteristic of the finite-heat-capacity source, heat-resistance models and bypass-thermal-leak on the optimal cycle configuration for maximum work output are analyzed. Finite-heat-capacity source heat-capacity not only has effect on the optimal temperature relationship between working substance and finite-heat-capacity source at high-temperature side of the irreversible engine, but also has effects on optimal profiles of temperatures of finite-heat-capacity source and working substance versus the time. Bypass-thermal-leak affects the optimal temperature relationship between finite-heat-capacity source and working substance at high-temperature side, and the maximum work configurations with and without bypass-thermal-leak are different from each other significantly. The results obtained her ein include those in some previous related literatures.

Keywords: Finite-heat-capacity source; Bypass-thermal-leak; Irreversible engine; Averaged-optimal-control theory; Maximum work output; Finite-time thermodynamics (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:617:y:2023:i:c:s0378437123002091

DOI: 10.1016/j.physa.2023.128654

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