Abstract

This paper presents a new step in the optimization of the Chambadal model of the Carnot engine. It allows a sequential optimization of a model with internal irreversibilities. The optimization is performed successively with respect to various objectives (e.g., energy, efficiency, or power when introducing the duration of the cycle). New complementary results are reported, generalizing those recently published in the literature. In addition, the new concept of entropy production action is proposed. This concept induces new optimums concerning energy and power in the presence of internal irreversibilities inversely proportional to the cycle or transformation durations. This promising approach is related to applications but also to fundamental aspects.

Highlights

  • Sadi Carnot had a crucial contribution to thermostatics that designated him as a cofounding researcher of equilibrium thermodynamics

  • This paper proposed that the Special Issue Carnot Cycle and Heat Engine Fundamentals and Applications II completes the previous paper [12] published in Special Issue 1 and adds new results to a recently published paper [5]

  • Similarities and differences present in the literature regarding the optimization of energy, first law efficiency, and power of the modified Chambadal engine have been resituated and summarized since the publication of [12]

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Summary

Introduction

Sadi Carnot had a crucial contribution to thermostatics that designated him as a cofounding researcher of equilibrium thermodynamics. He has shown that the efficiency of a thermo-mechanical engine is bounded by the Carnot efficiency η C [1]. Many papers have used the keyword “Carnot engine” (1290 papers from Web of Science on 17 September 2021). That same day on Web of Science, we noted. 104 papers related to the keyword “Carnot efficiency”. Among these papers, some are related to the connection between energy, efficiency, and power optimization. The most cited paper is probably that of Curzon and Ahlborn [2,3]

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