Approximate analytical solutions of MHD viscous flow

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2016-06-15 DOI:10.3329/JNAME.V13I1.24387

V. Awati

引用次数: 0

Abstract

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a shrinking sheet caused by boundary layer of an incompressible viscous flow. The governing three partial differential equations of momentum equations are reduced into ordinary differential equation (ODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel mathematical tools for their analysis. We use fast converging Dirichlet series and Method of stretching of variables for the solution of these nonlinear differential equations. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and also they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes.

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MHD粘性流动的近似解析解

本文给出了不可压缩黏性流动边界层引起的缩片磁流体动力学黏性流动的半数值解。利用经典的相似变换和适当的边界条件，将控制动量方程的三个偏微分方程转化为常微分方程。非线性和无限区间都需要新的数学工具来分析。我们利用快速收敛的狄利克雷级数和变量的伸缩法来求解这些非线性微分方程。这些方法与纯数值方法相比，具有在一段时间内对所涉及的各种参数值精确地求得推导量的优点，并且与HAM、HPM、ADM和经典数值格式相比，它们在更大的参数域内是有效的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.