Transfer Study on Optimal Configuration of Forward and Reverse Thermal Cycles under Different Heat Transfer Laws

Based on the theory of finite time thermodynamics, this paper extends a high temperature heat source (heat engine mode), a low temperature heat source (refrigerator mode) from high to low temperature heat sources as infinite heat sources, from Newton's law heat transfer to the other differential heat transfer laws, to study thermal transfer laws on the positive and negative thermal cycle of the optimal configuration. Starting with a relatively simple thermodynamic cycle without heat leakage, the best configuration for a hot engine and a refrigerator cycle is studied under the condition of a relatively simple linear and phenomenological heat transfer laws. On this basis, a modified Lagrangian is established, and the given cycle period and the maximum output work [1] are taken as the constraints. The variation law of high temperature heat source and work medium temperature can be obtained by solving the EULER–Lagrange equation, optimum configuration of instantaneous heat engine. The mathematical model is established by variational method and numerical solution method, and the numerical solution is obtained by iterative method with Matlab software.