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Unsteady MHD flow due to eccentric rotations of a porous disk and an oscillating fluid at infinity
ZAMM - Journal of Applied Mathematics and Mechanics ( IF 2.3 ) Pub Date : 2021-06-15 , DOI: 10.1002/zamm.202000369
Zahid Hussain 1
Affiliation  

An exact solution of time dependent Navier-Stokes equations is constructed by taking the flow due to eccentric rotations of a porous disk and an oscillating fluid at infinity into account under the influence of a uniform magnetic field. Laplace transform technique is utilized to obtain the shear stress components in the fluid and on the disk and analytical solution of the proposed problem. Three cases when the angular velocity is greater than, smaller than or equal to the frequency of oscillation are studied. The impacts of the involved parameters of interest on the velocity profiles are highlighted and discussed through many graphs. Existing results are recovered as the limiting case of the present work.

中文翻译:

由于多孔圆盘的偏心旋转和无穷远处的振荡流体引起的不稳定 MHD 流动

通过考虑均匀磁场影响下多孔圆盘和无穷远处振荡流体的偏心旋转引起的流动,构建了瞬态纳维-斯托克斯方程的精确解。拉普拉斯变换技术用于获得流体中和磁盘上的剪切应力分量以及所提出问题的解析解。研究了角速度大于、小于或等于振荡频率的三种情况。通过许多图表突出显示并讨论了相关参数对速度剖面的影响。现有结果被恢复为当前工作的限制情况。
更新日期:2021-06-15
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