EFFECTS OF MAGNETOHYDRODYNAMICS ON PERISTALTIC FLOW OF JEFFREY FLUID IN A RECTANGULAR DUCT THROUGH A POROUS MEDIUM

被引：142

作者：

Ellahi, R. ^{[1
]}

Bhatti, M. Mubashir ^{[1
]}

Riaz, Arshad ^{[1
]}

Sheikholeslami, M. ^{[2
]}

机构：

[1] IIUI, FBAS, Dept Math & Stat, Islamabad, Pakistan

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

来源：

JOURNAL OF POROUS MEDIA | 2014年 / 17卷 / 02期

关键词：

peristaltic flow; Jeffrey fluid; rectangular duct; magnetohydrodynamics (MHD); porous medium; exact solution; NON-NEWTONIAN FLUID; HEAT-TRANSFER; MAGNETIC-FIELD; TRANSPORT; ANNULUS; BLOOD;

D O I：

10.1615/JPorMedia.v17.i2.50

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper presents a theoretical study on the effects of magnetohydrodynamics on the peristaltic flow of Jeffrey fluid in a rectangular duct under the constraints of low Reynold number and long wavelength. Porous media is also taken into account. The governing equations are modeled and then solved analytically. Numerical integration is used to analyze the novel features of volumetric flow rate, average volume flow rate, instantaneous flux, and the pressure gradient. The trapping phenomenon for different physical parameters has been presented through stream lines. The role of pertinent parameters is illustrated through graphs and tables. Comparison with the existing literature is also made.

引用

页码：143 / 157

页数：15

共 30 条

[1] Peristaltic Flow of Carreau Fluid in a Rectangular Duct through a Porous Medium [J].

Ellahi, R. ;

Riaz, Arshad ;

Nadeem, S. ;

Ali, M. .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012

[2] Analytical solutions for non-Newtonian fluid flows in pipe-like domains [J].

Fetecau, C .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2004, 39 (02) :225-231

[3] Unsteady MHD flow of a non-Newtonian fluid on a porous plate [J].

Hameed, A. ;

Nadeem, S. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (01) :724-733

[4] Peristaltic transport of non-Newtonian fluid in a diverging tube with different wave forms [J].

Hariharan, Prasanna ;

Seshadri, V. ;

Banerjee, Rupak K. .

MATHEMATICAL AND COMPUTER MODELLING, 2008, 48 (7-8) :998-1017

[5] The role of porous media in modeling flow and heat transfer in biological tissues [J].

Khaled, ARA ;

Vafai, K .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2003, 46 (26) :4989-5003

[6] Peristaltic Transport of a Jeffrey Fluid with Variable Viscosity through a Porous Medium in an Asymmetric Channel [J].

Khan, A. Afsar ;

Ellahi, R. ;

Vafai, K. .

ADVANCES IN MATHEMATICAL PHYSICS, 2012, 2012

[7] On the influence of wall properties in the MHD peristaltic transport with heat transfer and porous medium [J].

Kothandapani, M. ;

Srinivas, S. .

PHYSICS LETTERS A, 2008, 372 (25) :4586-4591

[8] Peristaltic transport of a Jeffrey fluid under the effect of magnetic field in an asymmetric channel [J].

Kothandapani, M. ;

Srinivas, S. .

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, 2008, 43 (09) :915-924

[9]

Latham TW., 1966, THESIS MIT

[10] Flow of a Jeffery-Six Constant Fluid Between Coaxial Cylinders with Heat Transfer Analysis [J].

Malik, Muhammad Yousaf ;

Hussain, Azad ;

Nadeem, Sohail .

COMMUNICATIONS IN THEORETICAL PHYSICS, 2011, 56 (02) :345-351

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