The forced flow due to a pressure gradient in a rotating channel filled with an anisotropic porous medium is studied. The rotation axis and one principal axis of the permeability tensor are normal to the channel walls. The Darcy-Brinkman equations under a rotating frame are solved analytically. The problem depends on the rotation rate and the lateral permeabilities, but not the normal permeability. The fluid velocity has a primary component in the direction of the pressure gradient and a secondary transverse component due to the Coriolis forces. The criterion for convex velocity profile depends on the difference between the lateral permeabilities. The flow rates in the longitudinal and transverse directions are related to the rotation rate and the lateral permeabilities (normalized as Darcy numbers). Tables for a wide range of anisotropic Darcy numbers and rotation parameters are presented. The physical properties are discussed. Applications include fluid motion in striated or fractured rock formations.

中文翻译：

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充满各向异性多孔介质的旋转通道中的达西-布林克曼流动

研究了在充满各向异性多孔介质的旋转通道中由压力梯度引起的强制流动。渗透率张量的旋转轴和一个主轴垂直于通道壁。旋转坐标系下的 Darcy-Brinkman 方程得到解析解。问题取决于旋转速率和横向渗透率，而不是正常渗透率。由于科里奥利力，流体速度具有压力梯度方向上的主要分量和次要横向分量。凸速度剖面的标准取决于横向渗透率之间的差异。纵向和横向的流速与旋转速率和横向渗透率（归一化为达西数）有关。提供了各种各向异性达西数和旋转参数的表格。讨论了物理特性。应用包括条纹或裂缝岩层中的流体运动。