INVESTIGATION OF A JEFFERY-HAMEL FLOW BETWEEN TWO RECTANGULAR INCLINED SMOOTH WALLS USING THE DIFFERENTIAL TRANSFORM METHOD

被引：2

作者：

Patel, N. D. ^{[1
]}

Meher, Ramakanta ^{[1
]}

机构：

[1] SV Natl Inst Technol, Dept Math, Surat, India

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2018年 / 17卷 / 04期

关键词：

Differential Transform Method; Jeffery-Hamel flow; higher order non-linear ordinary differential equation;

D O I：

10.17512/jamcm.2018.4.06

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, the Differential Transform Method (DTM) is applied to derive a semi-analytic solution for the non-linear MHD (Magneto Hydro Dynamics) Jeffery-Hamel flow between rectangular inclined smooth planes. A non-linear ordinary differential equation of order four is obtained from Navier-Stokes equations using similar transformation. A comparison between DTM, PM (Perturbation Method) and numerical solution is shown here to validate the obtained results with its convergence analysis for different values of m and a Reynolds number in divergent channels.

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收藏

页码：47 / 57

页数：11

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