Solution of two dimensional Stokes flow with elliptical coordinates and its application to permeability of porous media
| العنوان: | Solution of two dimensional Stokes flow with elliptical coordinates and its application to permeability of porous media |
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| المؤلفون: | M. Hajjam, Mustapha Hellou, Mohamed Khaled Bourbatache, Franck Lominé |
| المساهمون: | Laboratoire de Génie Civil et Génie Mécanique (LGCGM), Université de Rennes 1 (UR1), Université de Rennes (UNIV-RENNES)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Université de Rennes (UNIV-RENNES)-Institut National des Sciences Appliquées (INSA), Institut Pprime (PPRIME), ENSMA-Centre National de la Recherche Scientifique (CNRS)-Université de Poitiers, Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA), Université de Poitiers-ENSMA-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | Journal of Applied Mechanics Journal of Applied Mechanics, American Society of Mechanical Engineers, 2021, 88 (6), pp.1-18. ⟨10.1115/1.4050687⟩ Journal of Applied Mechanics, 2021, 88 (6), pp.1-18. ⟨10.1115/1.4050687⟩ |
| بيانات النشر: | HAL CCSD, 2021. |
| سنة النشر: | 2021 |
| مصطلحات موضوعية: | Materials science, Mechanical Engineering, Mechanics, Stokes flow, Condensed Matter Physics, 01 natural sciences, 010305 fluids & plasmas, Permeability (earth sciences), Mechanics of Materials, 0103 physical sciences, [PHYS.MECA.MEFL]Physics [physics]/Mechanics [physics]/Fluid mechanics [physics.class-ph], 010306 general physics, Porous medium, ComputingMilieux_MISCELLANEOUS, Elliptic coordinate system |
| الوصف: | In this paper, analytical developments of the biharmonic equation representing two-dimensional Stokes flow are performed with elliptical coordinates. It is found that the streamfunction is expressed with series expansions based on Gegenbauer polynomials of first and second kinds with order one Cn1 and Dn1 for n natural integer number. Application to an elliptical fiber enclosed in an elliptical boundary with uniform flow is made. It is found that a particular solution responsible of the drag must be added to the general solution. Following this, the flow through rectangular arrays of elliptical fibers is studied, and the permeability of this medium is determined as a function of porosity. |
| اللغة: | English |
| تدمد: | 0021-8936 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7db0b6b959ae777bcf3f8aaf5b2fe06c https://hal.archives-ouvertes.fr/hal-03185096 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi.dedup.....7db0b6b959ae777bcf3f8aaf5b2fe06c |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 00218936 |
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