Abstract
The flow of fluid through porous materials occurs in a wide-ranging number of industrial and geophysical applications. Convection and other fluid motions are important elements in models for waste disposal, reactor engineering, energy storage and building insulation. Similar dynamics can arise in dry snow, geothermal reservoirs, diagenetic processes and on the wall of magma chambers. The common occurrence of porous structures has led to a great deal of research into mathematical models for fluid flow in porous matrices. Equations describing motion of a “clear” fluid are well established, perhaps most notably the Navier-Stokes equations. However, new models for porous media are necessary because of the inherently different momentum transfer and thermal properties within porous structures.
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McKay, G. (2001). The Beavers and Joseph Condition for Velocity Slip at the Surface of a Porous Medium. In: Straughan, B., Greve, R., Ehrentraut, H., Wang, Y. (eds) Continuum Mechanics and Applications in Geophysics and the Environment. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04439-1_8
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DOI: https://doi.org/10.1007/978-3-662-04439-1_8
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