This paper describes the development of a mathematical model for a beta-type Stirling engine with rhombic drive mechanism. This model is based on thermodynamics, heat transfer, mass transfer, and machine dynamics considerations, and it estimates the power output and efficiency of a beta-type Stirling engine depending on different geometric and operational variables. The model is used to conduct a parametric investigation on the effect of various geometric and operational parameters on the overall performance of the engine and to shed light on the underlying mechanisms responsible for the observed trends. The results show that the geometric parameters such as the height of the displacer and crank length affect the engine performance by altering the compression ratio of the engine, whereas the impact of width of the regenerative channel is through pumping losses for fluid flow between the hot and cold chambers of the engine. The operational variable, engine speed, is shown to influence the amount of heat transfer to and from the working fluid since it directly affects the residence time of fluid in the hot and cold chambers and accordingly it has a bearing on the engine performance.

中文翻译：

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几何参数和运行参数对 Beta 型斯特林发动机性能的影响：数值研究

本文介绍了具有菱形驱动机构的 β 型斯特林发动机的数学模型的开发。该模型基于热力学、传热、传质和机器动力学考虑，并根据不同的几何和操作变量估计 β 型斯特林发动机的功率输出和效率。该模型用于对各种几何和操作参数对发动机整体性能的影响进行参数研究，并阐明导致观察到的趋势的潜在机制。结果表明，置换器的高度和曲柄长度等几何参数通过改变发动机的压缩比来影响发动机性能，而再生通道宽度的影响是通过发动机热室和冷室之间流体流动的泵送损失。运行变量，即发动机转速，显示出影响进出工作流体的热量，因为它直接影响流体在冷热室中的停留时间，因此它对发动机性能有影响。