Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer

doi:10.1088/1674-1056/22/2/024702

Chin. Phys. B ›› 2013, Vol. 22 ›› Issue (2): 24702-024702.doi: 10.1088/1674-1056/22/2/024702

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer

Krishnendu Bhattacharyya^a, Tasawar Hayat^b, Ahmed Alsaedi^c

a Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India;
b Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;
c Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

收稿日期:2012-05-30 修回日期:2012-07-28 出版日期:2013-01-01 发布日期:2013-01-01

Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer

Krishnendu Bhattacharyya^a, Tasawar Hayat^b, Ahmed Alsaedi^c

a Department of Mathematics, The University of Burdwan, Burdwan-713104, West Bengal, India;
b Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan;
c Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Received:2012-05-30 Revised:2012-07-28 Online:2013-01-01 Published:2013-01-01
Contact: Krishnendu Bhattacharyya E-mail:krish.math@yahoo.com; krishnendu.math@gmail.ocm

摘要/Abstract

摘要： In this analysis, the magnetohydrodynamic boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet in presence of wall mass transfer is studied. Using similarity transformations, the governing equations are converted to an ordinary differential equation and then solved analytically. The introduction of magnetic field changes the behavior of the entire flow dynamics in the shrinking sheet case and also has major impact in the stretching sheet case. The similarity solution is always unique in the stretching case, and in the shrinking case the solution shows dual nature for certain values of the parameters. For stronger magnetic field, the similarity solution for the shrinking sheet case becomes unique.

关键词: magnetohydrodynamic boundary layer, Casson fluid, stretching/shrinking sheet, wall mass transfer, analytic solution

Abstract: In this analysis, the magnetohydrodynamic boundary layer flow of Casson fluid over a permeable stretching/shrinking sheet in presence of wall mass transfer is studied. Using similarity transformations, the governing equations are converted to an ordinary differential equation and then solved analytically. The introduction of magnetic field changes the behavior of the entire flow dynamics in the shrinking sheet case and also has major impact in the stretching sheet case. The similarity solution is always unique in the stretching case, and in the shrinking case the solution shows dual nature for certain values of the parameters. For stronger magnetic field, the similarity solution for the shrinking sheet case becomes unique.

Key words: magnetohydrodynamic boundary layer, Casson fluid, stretching/shrinking sheet, wall mass transfer, analytic solution

中图分类号: (Laminar boundary layers)

47.15.Cb

47.50.-d (Non-Newtonian fluid flows) 47.65.-d (Magnetohydrodynamics and electrohydrodynamics)

Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi . Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer[J]. Chin. Phys. B, 2013, 22(2): 24702-024702.

Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi. Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer[J]. Chin. Phys. B, 2013, 22(2): 24702-024702.

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Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer

Analytic solution for magnetohydrodynamic boundary layer flow of Casson fluid over a stretching/shrinking sheet with wall mass transfer

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