Preliminary results from simulations of temperature oscillations in Stirling engine regenerator matrices

Preliminary results from simulations of temperature oscillations in Stirling engine regenerator matrices
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DOI：
10.1016/j.energy.2005.05.008
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发表时间：
2006-08
期刊：
Energy
影响因子：
9
通讯作者：
S. K. Andersen;H. Carlsen;P. G. Thomsen
S. K. Andersen;H. Carlsen;P. G. Thomsen
中科院分区：
工程技术1区
文献类型：
--
作者：
S. K. Andersen;H. Carlsen;P. G. Thomsen

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本研究的目的是建立一个斯特林发动机模型，用于研究回热器基体温度振荡对斯特林发动机性能的影响。采用控制体积法建立了发动机部件轴向离散的一维模型。该模型包含一个系统的常微分方程（ODE）来自质量和能量平衡的气体填充控制体积和能量平衡的再生器矩阵控制质量。具有滤波特性的插值方法用于控制体积界面处的状态变量，以减少数值扩散和/或非物理振荡。损失机制作为质量和能量平衡中的项直接包括在控制方程中。稳态周期解，满足循环边界条件和积分条件，使用定制的拍摄方法计算。已经发现可以精确地求解描述气体和再生器矩阵的耦合热力学的刚性ODE系统，并且可以可靠地找到模型的周期性稳态解。初步结果表明，回热器基体温度振荡对回热器损失、循环功率输出和循环效率有显著影响，因此值得进一步研究。
The objective of this study has been to create a Stirling engine model for studying the effects of regenerator matrix temperature oscillations on Stirling engine performance. A one-dimensional model with axial discretisation of engine components has been formulated using the control volume method. The model contains a system of ordinary differential equations (ODEs) derived from mass and energy balances for gas filled control volumes and energy balances for regenerator matrix control masses. Interpolation methods with filtering properties are used for state variables at control volume interfaces to reduce numerical diffusion and/or non-physical oscillations. Loss mechanisms are included directly in the governing equations as terms in the mass and energy balances. Steady state periodic solutions that satisfy cyclic boundary conditions and integral conditions are calculated using a custom built shooting method. It has been found possible to accurately solve the stiff ODE system that describes the coupled thermodynamics of the gas and the regenerator matrix and to reliably find periodic steady state solutions to the model. Preliminary results indicate that the regenerator matrix temperature oscillations do have significant impact on the regenerator loss, the cycle power output, and the cycle efficiency and thus deserve further study.