Bingham flow in porous media with obstacles of different size |
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Authors: | Renata Bunoiu Giuseppe Cardone |
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Institution: | 1. Institut Elie Cartan de Lorraine, CNRS, UMR 7502, Université de Lorraine, France;2. Department of Engineering, Università del Sannio, Benevento, Italy |
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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 terms of a nonlinear Darcy law. Copyright © 2017 John Wiley & Sons, Ltd. |
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Keywords: | homogenization unfolding operators Bingham fluid porous media |
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