首页> 外文会议>Second Biot Conference on Poromechanics Aug 26-28, 2002 Grenoble, France >Permeability of non-inertial porous matrices or under magnetic field
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Permeability of non-inertial porous matrices or under magnetic field

机译:非惯性多孔基质或在磁场下的磁导率

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We investigate the filtration law of an incompressible viscous Newtonian fluid through a rigid non-inertial porous medium or when submitted to a magnetic field. The filtration law is obtained by upscaling the flow at the pore scale. We use the method of multiple scale expansions which rigorously gives the macroscopic behaviour without any prerequisite on the form of the macroscopic equations. The filtration laws are shown to resemble Darcy's laws, but with a permeability tensor which depends on the angular velocity of the porous matrix or on the magnetic field, respectively. In both cases Hall ― Onsager relations are verified.
机译:我们研究了不可压缩粘性牛顿流体通过刚性非惯性多孔介质或当受到磁场作用时的过滤规律。过滤定律是通过按孔径扩大流量获得的。我们使用了多尺度展开的方法,该方法可以严格给出宏观行为,而对宏观方程的形式没有任何先决条件。过滤定律与达西定律相似,但渗透率张量分别取决于多孔基质的角速度或磁场。在这两种情况下,都将验证霍尔― Onsager关系。

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