Artículo
Homogenization of Bingham flow in thin porous media
Autor/es | Anguiano Moreno, María
Bunoiu, Renata |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2019-12-01 |
Fecha de depósito | 2024-01-22 |
Publicado en |
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Resumen | By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress ... By using dimension reduction and homogenization techniques, we study the steady flow of an incompresible viscoplastic Bingham fluid in a thin porous medium. A main feature of our study is the dependence of the yield stress of the Bingham fluid on the small parameters describing the geometry of the thin porous medium under consideration. Three different problems are obtained in the limit when the small parameter tends to zero, following the ratio between the height of the porous medium and the relative dimension of its periodically distributed pores. We conclude with the interpretation of these limit problems, which all preserve the nonlinear character of the flow. |
Cita | Anguiano Moreno, M. y Bunoiu, R. (2019). Homogenization of Bingham flow in thin porous media. Networks and Heterogeneous Media, 15 (1), 87-110. https://doi.org/10.3934/nhm.2020004. |
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