Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

doi:10.1088/1674-1056/23/12/124701

›› 2014, Vol. 23 ›› Issue (12): 124701-124701.doi: 10.1088/1674-1056/23/12/124701

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

Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

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:2013-11-12 修回日期:2014-07-03 出版日期:2014-12-15 发布日期:2014-12-15
基金资助:
The first author (K. Bhattacharyya) gratefully acknowledges the financial support of National Board for Higher Mathematics (NBHM), DAE, Mumbai, India for pursuing this work. The research of Dr. Alsaedi was partially supported by Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

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:2013-11-12 Revised:2014-07-03 Online:2014-12-15 Published:2014-12-15
Contact: Tasawar Hayat E-mail:pensy_t@yahoo.com
Supported by:
The first author (K. Bhattacharyya) gratefully acknowledges the financial support of National Board for Higher Mathematics (NBHM), DAE, Mumbai, India for pursuing this work. The research of Dr. Alsaedi was partially supported by Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, Saudi Arabia.

摘要/Abstract

摘要： An analysis is carried out for dual solutions of the boundary layer flow of Maxwell fluid over a permeable shrinking sheet. In the investigation, a constant wall mass transfer is considered. With the help of similarity transformations, the governing partial differential equations (PDEs) are converted into a nonlinear self-similar ordinary differential equation (ODE). For the numerical solution of transformed self-similar ODE, the shooting method is applied. The study reveals that the steady flow of Maxwell fluid is possible with a smaller amount of imposed mass suction compared with the viscous fluid flow. Dual solutions for the velocity distribution are obtained. Also, the increase of Deborah number reduces the boundary layer thickness for both solutions.

关键词: dual solutions, boundary layer flow, Maxwell fluid, porous shrinking sheet

Abstract: An analysis is carried out for dual solutions of the boundary layer flow of Maxwell fluid over a permeable shrinking sheet. In the investigation, a constant wall mass transfer is considered. With the help of similarity transformations, the governing partial differential equations (PDEs) are converted into a nonlinear self-similar ordinary differential equation (ODE). For the numerical solution of transformed self-similar ODE, the shooting method is applied. The study reveals that the steady flow of Maxwell fluid is possible with a smaller amount of imposed mass suction compared with the viscous fluid flow. Dual solutions for the velocity distribution are obtained. Also, the increase of Deborah number reduces the boundary layer thickness for both solutions.

Key words: dual solutions, boundary layer flow, Maxwell fluid, porous shrinking sheet

中图分类号: (Laminar flows)

47.15.-x

47.50.-d (Non-Newtonian fluid flows)

Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi. Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet[J]. , 2014, 23(12): 124701-124701.

Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi. Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet[J]. Chin. Phys. B, 2014, 23(12): 124701-124701.


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Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet

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