Hamid A H, Javed Tariq, Ali N
Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad, 44000, Pakistan.
Biophys Rev. 2019 Apr;11(2):139-147. doi: 10.1007/s12551-019-00511-8. Epub 2019 Mar 12.
The computational study of MHD peristaltic motion is investigated for axisymmetric flow problem. The developed model is present in the form of partial differential equations. Then obtained partial differential equations are transferred into stream-vorticity (ψ - ω) form. Then Galerkin Finite element method is used to find the computational results of governing problem. The current study is compared with the existing well-known results at low Reynolds number and wave number. It is revealed that the present results are in well agreement with existing results in the literature. So, it is effective for higher values of Reynolds number and wave number. The variations of streamline are present graphically against high Reynolds number. It concludes that high Reynolds number and Hartmann number increase pressure rise per unit wavelength in positive pumping region sharply.
针对轴对称流动问题，研究了磁流体动力学蠕动运动的计算。所建立的模型以偏微分方程的形式呈现。然后将得到的偏微分方程转化为流函数 - 涡量（ψ - ω）形式。接着使用伽辽金有限元方法来求解控制问题的计算结果。将当前研究结果与低雷诺数和波数下现有的知名结果进行了比较。结果表明，当前结果与文献中的现有结果吻合良好。因此，对于较高的雷诺数和波数，该方法是有效的。给出了流线随高雷诺数变化的图形。得出结论，在正向泵送区域，高雷诺数和哈特曼数会使单位波长的压力升幅急剧增加。
