A screen composed of in-plane thin strips is embedded in a porous medium. The screen is either normal or parallel to the applied pressure gradient which forces a flow through the anisotropic porous medium. The principal axes of anisotropy are assumed to be aligned with that of the screen. The governing equation is fourth order and cannot be factored as in the isotropic case. The solutions are found by eigenfunction superposition (with complex eigenvalues) and point match. Anisotropy has first-order effects on the flow and the drag on the screen. Extrapolation yields fundamental results for the drag of a single slat in an anisotropic porous medium.

中文翻译：

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嵌在各向异性多孔介质中的筛网上的Darcy–Brinkman流

由平面内的细条组成的筛网被嵌入多孔介质中。筛网垂直于或平行于施加的压力梯度，该压力梯度迫使流体流过各向异性多孔介质。各向异性的主轴假定与屏幕的主轴对齐。控制方程是四阶的，不能像各向同性情况一样进行分解。通过特征函数叠加（具有复杂特征值）和点匹配找到解。各向异性对流动和屏幕上的阻力具有一阶影响。对于各向异性多孔介质中单个板条的阻力，外推法得出基本结果。