MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

doi:10.1007/s10483-012-1584-9

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (6): 749-764.doi: https://doi.org/10.1007/s10483-012-1584-9

MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

T. HAYAT¹, A. SHAFIQ¹, M. NAWAZ², A. ALSAEDI³

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Humanities and Sciences, Institute of Space Technology, Islamabad 44000, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2011-06-02 修回日期:2012-02-08 出版日期:2012-06-10 发布日期:2012-06-10

MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

T. HAYAT¹, A. SHAFIQ¹, M. NAWAZ², A. ALSAEDI³

1. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
2. Department of Humanities and Sciences, Institute of Space Technology, Islamabad 44000, Pakistan;
3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2011-06-02 Revised:2012-02-08 Online:2012-06-10 Published:2012-06-10
Contact: M. NAWAZ E-mail:nawaz_d2006@yahoo.com

摘要/Abstract

摘要：

The magnetohydrodynamic (MHD) flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equa-tions are converted into the ordinary differential equations by suitable transformations. The transformed equations are solved by the homotopy analysis method (HAM). The expressions for square residual errors are defined, and the optimal values of convergence-control parameters are selected. The dimensionless velocity and temperature fields are examined for various dimensionless parameters. The skin friction coefficient and the Nus-selt number are tabulated to analyze the effects of dimensionless parameters.

Abstract:

The magnetohydrodynamic (MHD) flow of the third grade fluid between two permeable disks with heat transfer is investigated. The governing partial differential equa- tions are converted into the ordinary differential equations by suitable transformations. The transformed equations are solved by the homotopy analysis method (HAM). The expressions for square residual errors are defined, and the optimal values of convergence- control parameters are selected. The dimensionless velocity and temperature fields are examined for various dimensionless parameters. The skin friction coefficient and the Nus- selt number are tabulated to analyze the effects of dimensionless parameters.

中图分类号:

T. HAYAT;A. SHAFIQ;M. NAWAZ;A. ALSAEDI. MHD axisymmetric flow of third grade fluid between porous disks with heat transfer[J]. Applied Mathematics and Mechanics (English Edition), 2012, 33(6): 749-764.

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MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

MHD axisymmetric flow of third grade fluid between porous disks with heat transfer

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