年間 12 号発行
ISSN 印刷: 1091-028X
ISSN オンライン: 1934-0508
Indexed in
GAS/SOLID HEAT TRANSFERS IN GAS FLOWS UNDER KLINKENBERG CONDITIONS: COMPARISON BETWEEN THE HOMOGENIZATION AND THE KINETIC APPROACHES
要約
In this paper, we study the heat equation of gas flows in microporous media and its consequences on permeability using two different methods. The first one, relying on a homogenization approach, comes from the energy point of view the theory involving the study of slipping effects in porous media. The second one rests on the kinetic theory and extends previous work done on the Klinkenberg effect. First, we prove that these two approaches lead to the same basic intuitive conclusion on the local behavior of the gas in micro-porous media, that is: the local thermal equilibrium between fluid and solid. Then, we develop the consequences of such a result on the gas flow permeability of the medium.
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Lasseux D., Parada F. J. Valdes, Tapia J. A. Ochoa, Goyeau B., A macroscopic model for slightly compressible gas slip-flow in homogeneous porous media, Physics of Fluids, 26, 5, 2014. Crossref
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Lasseux Didier, Valdés Parada Francisco J., Porter Mark L., An improved macroscale model for gas slip flow in porous media, Journal of Fluid Mechanics, 805, 2016. Crossref