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 (C) 2017 John Wiley & Sons, Ltd.
Bingham flow in porous media with obstacles of different size / Bunoiu, R; Cardone, G.. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - 40:12(2017), pp. 4514-4528. [10.1002/mma.4322]
Bingham flow in porous media with obstacles of different size
Cardone G.
2017
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 (C) 2017 John Wiley & Sons, Ltd.| File | Dimensione | Formato | |
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