磁场对可压缩边界层影响的Homotopy分析法

Q4 Mathematics

Journal of the Indian Mathematical Society Pub Date : 2021-01-28 DOI:10.18311/JIMS/2021/26517

R. Madhusudhan, A. Nargund, S. Sathyanarayana

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引用次数: 1

摘要

我们分析了外加磁场对具有反向压力梯度的可压缩流体流动的影响。控制偏微分方程的解析解采用同源分析法，数值解采用有限差分法。对磁性参数的不同值进行了详细分析，其中在壁处施加吸力/喷射。还观察到，对于大的注入，在边界层区域可以看到流动分离。HAM是一个由收敛参数h组成的级数解，通过绘制h曲线对收敛参数h进行数值估计。该解的奇异性是由帕德近似确定的。

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The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method

We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting h curve. Singularities of the solution are identified by Pade approximation.

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来源期刊

Journal of the Indian Mathematical Society Mathematics-Mathematics (all)

CiteScore

0.50

自引率

0.00%

发文量

期刊介绍： The Society began publishing Progress Reports right from 1907 and then the Journal from 1908 (The 1908 and 1909 issues of the Journal are entitled "The Journal of the Indian Mathematical Club"). From 1910 onwards,it is published as its current title ''the Journal of Indian Mathematical Society. The four issues of the Journal constitute a single volume and it is published in two parts: issues 1 and 2 (January to June) as one part and issues 3 and 4 (July to December) as the second part. The four issues of the Mathematics Student (another periodical of the Society) are published as a single yearly volume. Only the original research papers of high quality are published in the Journal of Indian Mathematical Society.