# the Stokes and Brinkman equations

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 January 7, 2006, 07:49 the Stokes and Brinkman equations #1 yang Guest   Posts: n/a Hello, everyone. I want to simulate a problem in which there exists a combination of open and porous regions involves the Stokes and Brinkman equations.K permeability tensor is about 10-12 m2. I try to use SIMPLE + VOF method. But I don't know if it is doable. When I impose velocity inlet for both open and porous regions simultaneously it could hardly move in porous regions. Who can give me some advice about it? Thanks in advance.

 January 13, 2006, 04:54 Re: the Stokes and Brinkman equations #2 Dirk Kehrwald Guest   Posts: n/a Dear Yang, a former colleague of mine wrote his doctoral dissertation on exactly that problem. You may download it from http://kluedo.ub.uni-kl.de/volltexte/2004/1731/ The web site is in German but the Thesis is in English. Note that flow in porous media typically is significantly slower than free flow. In simulations where high order accuracy was not important, we also made very good experience with a straight and simple lattice Boltzmann approach.

 January 13, 2006, 06:13 Re: the Stokes and Brinkman equations #3 yang Guest   Posts: n/a Thanks for your reply. I have downloaded it from the website.but I know a little about lattice Boltzmann approach. Finally I must consider surface tension in the flow front. I don't know which method I can use.

 January 13, 2006, 10:25 Re: the Stokes and Brinkman equations #4 Andrew Hayes Guest   Posts: n/a There is another good paper, "Developing Fluid Flow and Heat Transfer in a Channel Partially Filled with Porous Medium", by Tien-Chien Jen and T.Z. Yan. Vafai and Jiang have written numerous papers on the heat transfer in porous media as well as Whitaker. Whitaker is all about the volume averaging technique, Vafai is too, while Jiang only touches on it but goes into the boundary conditions between the fluid and the solid in good detail.

 January 18, 2006, 07:20 Re: the Stokes and Brinkman equations #5 yang Guest   Posts: n/a Thanks.But I don't consider the heat transfer.I only need to solve flow problem.

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