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ISSN 打印: 1064-2285
ISSN 在线: 2162-6561

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DOI: 10.1615/HeatTransRes.2015008308
pages 1147-1166

SQUEEZING FLOW WITH SECOND-ORDER VELOCITY AND THERMAL SLIP CONDITIONS

Tasawar Hayat
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, P.O. Box 80257, Jeddah 21589, Saudi Arabia
A. Qayyum
Department of Mathematical Science, Urdu University of Art, Science, and Technology, Islamabad, Pakistan
Ahmed Alsaedi
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box. 80257, Jeddah 21589, Saudi Arabia

ABSTRACT

Effects of second-order velocity and thermal slip conditions in flow between two squeezing disks are considered, as well as thermal and concentration slips. The effect of chemical reaction is present. The fluid is taken to be incompressible and electrically conducting. The system of governing partial differential equations for the flow with heat and mass transfer are reduced to the system of nonlinear ordinary differential equations using appropriate transformations. Convergent series solutions are constructed. Values of skin friction coefficient and local Nusselt number are computed and analyzed. The developed series solutions are also compared with a numerical solution in a limiting case. Excellent agreement is achieved.


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