Ongoing work addresses the unsteady magnetohydrodynamics (MHD) flow of viscous liquid generated by the rotation of a stretchable disk under time-based sinusoidal oscillations in the occupancy of homogeneous and heterogeneous aspects. The three-dimensional flow problem is normalized by implementing dimensionless variables. The obtained nonlinear system is solved numerically by using a scheme of finite differences and successive over-relaxation (SOR) method, in which semi-infinite domain is confined to fixed domain. The flow characteristics are discussed through dimensionless quantities in pictorial and tabular forms. Results show that the flow amplitude of velocity profiles decays for enhancing values of porosity parameter. The amplifying values of strength of homogeneous and heterogeneous parameters decline periodically for concentration as a function of time.

中文翻译：

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非均相和均相反应对多孔介质中水磁振荡旋转流动的影响

正在进行的工作解决了在同质和异质状态下，基于时间的正弦振荡下，可拉伸圆盘的旋转所产生的粘性液体的不稳定磁流体动力学（MHD）流。通过实现无量纲变量可以对三维流动问题进行归一化。使用有限差分方案和连续超松弛（SOR）方法对获得的非线性系统进行数值求解，其中半无限域被限制为固定域。通过图形和表格形式的无量纲量讨论了流动特性。结果表明，速度剖面的流动幅度随孔隙度参数值的增加而衰减。