Control of Stirling engine. Simplified, compressible model

All-Russian conference on Nonlinear Waves: Theory and New Applications

Plotnikov, P.I.^1,2 ; Sokolowski, J.^3 ; Zochowski, A.^4

Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia^1

Novosibirsk State University, Novosibirsk, Russia^2

Université de Lorraine, Institut Élie Cartan, Nancy, France^3

Instytut Badan' Systemowych Polskiej Akademii Nauk, Warszawa, Poland^4

关键词: Combustion engines;    Compressible models;    Free-boundary problems;    Governing equations;    System of differential equations;    Total work;    Viscous gas;    Weak solution;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012032/pdf
DOI  :  10.1088/1742-6596/722/1/012032

来源: IOP

【 摘 要 】

A one-dimensional free boundary problem on a motion of a heavy piston in a tube filled with viscous gas is considered. The system of governing equations and boundary conditions is derived. The obtained system of differential equations can be regarded as a mathematical model of an exterior combustion engine. The existence of a weak solution to this model is proved. The problem of maximization of the total work of the engine is considered.