Numerical Simulation of Cyclic Thermodynamic Processes

Numerical Simulation of Cyclic Thermodynamic Processes
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循环热力学过程的数值模拟

DOI:
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发表时间:
2006
期刊:
影响因子:
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通讯作者:
H. Carlsen
H. Carlsen
中科院分区:
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文献类型:
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作者:
S. K. Andersen;H. Carlsen

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本研究的目的是建立一个斯特林发动机模型,用于研究蓄热器矩阵温度振荡对斯特林发动机性能的影响。采用控制容积法建立了发动机部件轴向离散的一维模型。该模型包含由充气控制体积的质量和能量平衡以及蓄热器矩阵控制质量的能量平衡导出的常微分方程系统。具有滤波特性的插值方法用于控制体积界面的状态变量,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的项直接包含在控制方程中。采用自定义射击法计算满足循环边界条件和积分条件的稳态周期解。我们发现可以精确地求解描述气体和蓄热器矩阵耦合热力学的刚性ODE系统,并可靠地求得该模型的周期稳态解。初步结果表明,蓄热器矩阵温度振荡对蓄热器损耗、循环输出功率和循环效率有显著影响,值得进一步研究。2005爱思唯尔有限公司版权所有。
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. q 2005 Elsevier Ltd. All rights reserved.