# Improved Chambadal Model with New Optimization Results

## TL;DR

This paper improves the Chambadal model of an irreversible Carnot engine by comparing two optimization approaches based on entropy and energy degradation.

## Contribution

A new energy degradation approach is introduced for optimizing the Chambadal model, offering a more physics-representative perspective.

## Key findings

- The classical entropy-based optimization approach was compared with a new energy degradation method.
- The new approach emphasizes energy conservation and bounds on mechanical energy and power output.
- Results from the two methods were slightly different, suggesting the new method better reflects physical principles.

## Abstract

This paper presents a continuation of the Chambadal model optimization of the irreversible Carnot engine. We retrieved the results presented in the Special Issue “Carnot Cycle and Heat Engine Fundamentals and Applications II” and enriched them with new contributions that allowed comparing two points of view: (1) the now classical one, centered on entropy production in the four processes of the cycle, which introduces the action of entropy production, with several sequential optimizations; (2) the new one that is relative to an energy degradation approach. The same démarche of sequential optimization was used, but the results were slightly different. We estimate that the second approach is more representative of physics by emphasizing the energy conservation and the existence on an upper and a lower bound in the mechanical energy and power output of the engine.