کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
7221932 1470385 2018 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Effective pressure boundary condition for the filtration through porous medium via homogenization
ترجمه فارسی عنوان
شرایط مرزی موثر برای فیلتراسیون از طریق محیط متخلخل از طریق همگن شدن
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی
We present homogenization of the viscous incompressible porous media flows under stress boundary conditions at the outer boundary. In addition to Darcy's law describing filtration in the interior of the porous medium, we derive rigorously the effective pressure boundary condition at the outer boundary. It is a linear combination of the outside pressure and the applied shear stress. We use the two-scale convergence in the sense of boundary layers, introduced by Allaire and Conca (1997) to obtain the boundary layer structure next to the outer boundary. The approach allows establishing the strong L2-convergence of the velocity corrector and identification of the effective boundary velocity slip jump. The theoretical results are confirmed through numerical experiments.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 44, December 2018, Pages 149-172
نویسندگان
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