期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 168, 期 1-2, 页码 277-288出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2003.06.011
关键词
homogenization; porous media; permeabilities
To predict the aerothermal behavior of transpiration cooled plates, a multi-scale approach based on the homogenization method of periodic material structures is developed. This method allows one to calculate effective equivalent thermophysical properties either for each layer or for the multi-layer of superalloy, bondcoat and TBC. A general formulation is developed here for the fluid flow through a porous media which is able to deduce as equivalent macroscopic behavior either a Darcy law with a constant permeability or a more general Fochheimer law with a permeability function of the mean velocity. Effective Darcy permeabilities are calculated by solving special Stokes flow problems on a unit cell. Finally, effective conductivities and permeabilities are determined for different configurations of cylindrical and shaped transpiration cooling channels. (C) 2003 Elsevier B.V. All rights reserved.
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