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arXiv · 1701.02992

Bingham flow in porous media with obstacles of different size

Renata Bunoiu·Giuseppe Cardone
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Abstract

By using the unfolding operators for periodic homogenization, we give a general compactness result for a class of functions defined on bounded domains presenting perforations of two different size. Then we apply this result to the homogenization of the flow of a Bingham fluid in a porous medium with solid obstacles of different size. Next we give the interpretation of the limit problem in term of a non linear Darcy law.

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Renata Bunoiu, Giuseppe Cardone. 2017-03-05. Bingham flow in porous media with obstacles of different size. https://doi.org/10.1002/mma.4322

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