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First Thermal and Fluids Engineering Summer Conference

ISSN: 2379-1748
ISBN: 978-1-56700-430-4

STAGNATION-POINT FLOW OF AN UPPER CONVECTED MAXWELL FLUID TOWARDS A VERTICAL STRETCHING/SHRINKING SHEET

DOI: 10.1615/TFESC1.cmd.013873
pages 519-528

Mohammad Mansur Rahman
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, P.C. 123 Al-Khod, Muscat, Sultanate of Oman

Ioan Pop
Department of Mathematics, Babes-Bolyai University, 400084 Cluj-Napoca, Romania

Alin Vasile Rosca
Department of Mathematics, Faculty of Mathematics and Computer Science, Babes-Bolyai University, 400084 Cluj-Napoca, Romania


KEY WORDS: Stagnation-point flow, Maxwell fluid, Convection, Dual solution, Stretching/Shrinking sheet

Abstract

In this paper we investigate mixed convection stagnation-point flow and heat transfer towards a vertical permeable stretching/shrinking sheet in an upper convected Maxwell fluid with variable surface temperature. The nondimensional governing equations have been solved numerically using the bvp4c function from Matlab for different values of the pertinent parameters; mixed convection parameter λ, stretching/shrinking parameter γ, suction parameter S, elastic parameter (Deborah number) K, keeping Prandtl number Pr fixed. Numerical results are obtained for the reduced skin-friction and heat transfer and for the velocity and temperature profiles. The results indicate that dual solutions exist for a buoyancy opposing flow (λ < 0) whether the surface is stretched or shrinked for certain values of the parameter space. Increasing the elastic parameter values has the effect of reducing the velocity field and increasing the temperature.

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