Abstract A complete, fast, and accurate numerical method for solving the regenerator one-dimensional conservation equations has been developed. This model utilizes an artificial convergence technique to advance the Method of Lines (MOL) solution to steady state within as little as 20 cycles of simulation time, which is much faster than traditional methods. In addition to parameters which characterize the porous medium and regenerator dimensions, the model requires six boundary parameters; cold and hot mass flux amplitude and phase difference (3), cold and hot mean temperature (2), and mean pressure (1). Specified mean pressure and mean boundary temperatures are achieved using the artificial convergence technique. Constant regenerator net energy flow is demonstrated, and is the requirement for convergence. This model has been used to quantify the effects of several limiting assumptions typically used in regenerator analysis such as ideal gas, constant properties, local thermal equilibrium, and constant temperature, i.e. T = T(x). These assumptions all lead to under-prediction of regenerator net heat flux, or regenerator loss. Comparison of this model to experimental data and system level modeling using Sage is also included. Finally, the numerical method is validated using an exact solution test case, yielding normalized errors of order 10−6.
A Fast and Accurate Regenerator Numerical Model
Cryocoolers 13 ; 455-461
2005-01-01
7 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Entropy Generation , Constant Property , Regenerator Loss , System Level Modeling , Total Energy Flux Physics , Extraterrestrial Physics, Space Sciences , Strongly Correlated Systems, Superconductivity , Optics, Optoelectronics, Plasmonics and Optical Devices , Imaging / Radiology , Automotive Engineering
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