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Numerical Solution of MHD Flow of Micropolar Fluid with Heat and Mass Transfer towards a Stagnation Point on a Vertical Plate

机译:传热传质到垂直板上滞止点的微极性流体MHD流动的数值解

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The paper investigates the numerical solution of problem of magnetohydrodynamic (MHD) micropolar fluid flow with heat and mass transfer towards a stagnation point on a vertical plate. In this study, we consider both strong concentrations (n = 0) and weak concentrations (n = 1/2). The governing equations have been transformed into nonlinear ordinary differential equations by applying the similarity transformation and have been solved numerically by using the finite difference method (FDM) and analytically by using (DTM). The effects of various governing parameters, namely, material parameter, radiation parameter, magnetic parameter, Prandtl number, Schmidt number, chemical reaction parameter and Soret number on the velocity, microrotation, temperature and concentration have been computed and discussed in detail through some figures and tables. In order to verify the accuracy of the present results, we have compared these results with the analytical solutions by using the differential transform method (DTM) and the multi-step differential transform method (MDTM). It is observed that this approximate numerical solution is in good agreement with the analytical solution.
机译:本文研究了磁流体动力学(MHD)微极性流体在热量和质量向垂直平板上的停滞点传递时的流动问题。在这项研究中,我们同时考虑了强浓度(n = 0)和弱浓度(n = 1/2)。通过应用相似变换将控制方程转换为非线性常微分方程,并通过使用有限差分法(FDM)进行了数值求解,并使用(DTM)进行了解析。计算了各种控制参数,即材料参数,辐射参数,磁参数,普朗特数,施密特数,化学反应参数和索雷特数对速度,微旋转,温度和浓度的影响,并通过一些图和详细讨论了表。为了验证当前结果的准确性,我们通过使用差分变换方法(DTM)和多步差分变换方法(MDTM)将这些结果与解析解决方案进行了比较。可以看出,该近似数值解与解析解非常吻合。

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