In this paper, we prove the existence of solution of the self-similar equations representing the swirling flow of an electrically conducting viscous fluid near an infinite rough rotating disk. The fluid is subjected to an external uniform magnetic field perpendicular to the plane of the disk. Numerical solutions of the resulting system of nonlinear equations are also obtained over the entire range of the physical parameters. The effects of slip and the magnetic interaction parameter on the momentum boundary layer are discussed in detail and are shown graphically.

中文翻译：

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各向异性粗糙度对转盘附近MHD流动的影响

在本文中，我们证明了自相似方程的解的存在，该方程代表无限大粗糙旋转盘附近的导电粘性流体的旋流。流体受到垂直于磁盘平面的外部均匀磁场的影响。还可以在整个物理参数范围内获得所得非线性方程组的数值解。详细讨论了滑动和磁相互作用参数对动量边界层的影响，并以图形方式显示。