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THEORY OF POROUS MEDIA AND ITS NUMERICAL APPLICATIONS TO ENGINEERING PROBLEMS

DOI: 10.1615/ICHMT.2008.CHT.70
page 19

Akira Nakayama
Department of Mechanical Engineering, Shizuoka University, 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, Japan; School of Civil Engineering and Architecture, Wuhan Polytechnic University, Wuhan, Hubei 430023, China

Résumé

The theory of local volume-averaging, established for the study of heat and fluid flow in porous media, can be exploited to attack a variety of engineering problems related to complex heat and fluid flow equipment consisting of small scale elements. Hot and cold fluid passages in a compact heat exchanger can be treated as distinct porous media having highly anisotropic permeabilities. CFD calculations of engine nacelles may be feasible as we appeal to a volume-averaged set of macroscopic equations along with some subscale model to account for flow resistance resulting from the bundles of hydraulic tubes, ribs and some other obstructions. Such a general set of macroscopic governing equations is derived using the volume averaging theory. The sub-scale modeling and microscopic treatments for its closure are proposed on the basis of the anisotropic porous media theory.

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