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Simultaneous effects of partial slip and thermal-diffusion and diffusion-thermo on steady MHD convective flow due to a rotating disk

机译:旋转引起的部分滑动,热扩散和扩散热对稳定MHD对流的同时影响

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摘要

The purpose of present research is to derive analytical expressions for the solution of steady MHD convective and slip flow due to a rotating disk. Viscous dissipation and Ohmic heating are taken into account. The nonlinear partial differential equations for MHD laminar flow of the homogeneous fluid are reduced to a system of five coupled ordinary differential equations by using similarity transformation. The derived solution is expressed in series of exponentially-decaying functions using homotopy analysis method (HAM). The convergence of the obtained series solutions is examined. Finally some figures are sketched to show the accuracy of the applied method and assessment of various slip parameter y, magnetic field parameter M, Eckert £c, Schmidt Sc and Soret Sr numbers on the profiles of the dimensionless velocity, temperature and concentration distributions. Validity of the obtained results are verified by the numerical results.
机译:本研究的目的是为旋转磁盘引起的稳定MHD对流和滑流导出解析表达式。考虑了粘性耗散和欧姆加热。通过相似变换,将用于均质流体的MHD层流的非线性偏微分方程简化为一个由五个耦合的常微分方程组成的系统。使用同伦分析方法(HAM),以一系列指数衰减函数表示导出的解。检查所获得的级数解的收敛性。最后绘制了一些图,以显示所应用方法的准确性,并在无因次速度,温度和浓度分布的轮廓上评估各种滑移参数y,磁场参数M,Eckert£c,Schmidt Sc和Soret Sr数。数值结果验证了所获得结果的有效性。

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