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Chin. Phys. B, 2014, Vol. 23(12): 124701    DOI: 10.1088/1674-1056/23/12/124701
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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

Krishnendu Bhattacharyyaa, Tasawar Hayatb, Ahmed Alsaedic
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
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.
Keywords:  dual solutions      boundary layer flow      Maxwell fluid      porous shrinking sheet  
Received:  12 November 2013      Revised:  03 July 2014      Accepted manuscript online: 
PACS:  47.15.-x (Laminar flows)  
  47.50.-d (Non-Newtonian fluid flows)  
Fund: 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.
Corresponding Authors:  Tasawar Hayat     E-mail:  pensy_t@yahoo.com

Cite this article: 

Krishnendu Bhattacharyya, Tasawar Hayat, Ahmed Alsaedi Dual solutions in boundary layer flow of Maxwell fluid over a porous shrinking sheet 2014 Chin. Phys. B 23 124701

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