Electrohydrodynamic flow analysis in a circular cylindrical conduit using Least Square Method

被引：97

作者：

Ghasemi, S. E. ^{[1
]}

Hatami, M. ^{[2
]}

Ahangar, G. H. R. Mehdizadeh ^{[3
]}

Ganji, D. D. ^{[4
]}

机构：

[1] Islamic Azad Univ, Qaemshahr Branch, Young Researchers & Elite Club, Qaemshahr, Iran

[2] Esfarayen Univ, Engn & Tech Coll, Dept Mech Engn, Esfarayen North Khorasan, Iran

[3] Yazd Univ, Dept Mech Engn, Yazd, Iran

[4] Babol Univ Technol, Dept Mech Engn, Babol Sar, Iran

来源：

JOURNAL OF ELECTROSTATICS | 2014年 / 72卷 / 01期

关键词：

Electrohydrodynamic (EHD) flow; Cylindrical conduit; Hartmann electric number; Least Square Method (LSM); Residual function; HOMOTOPY PERTURBATION METHOD; NONLINEAR HEAT-TRANSFER; EQUATION; COLLOCATION;

D O I：

10.1016/j.elstat.2013.11.005

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this article, Electrohydrodynamic flow (EHD flow) in a circular cylindrical conduit is studied by a semiexact and high efficient weighted residual method called Least Square Method (LSM). A principle of LSM is briefly introduced and later is employed to solve the described problem. Furthermore, the effects of the Hartmann electric number (Ha) and the strength of nonlinearity (alpha) on velocity profiles are discussed and presented graphically. Results are compared with numerical solution and obtained residuals are compared with those of HAM which previously were done by Mastroberardino in Ref. [3]. Outcomes reveal that LSM has an excellent agreement with numerical solution; also depicted residual functions showed that LSM is more acceptable than HAM especially for large values of Ha and a numbers, also it is simpler and needs fewer computations. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：47 / 52

页数：6

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