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Heat Transfer Research
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ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018018569
pages 1587-1603

OBLIQUE STAGNATION-POINT FLOW OF NON-NEWTONIAN FLUID WITH VARIABLE VISCOSITY

R. Mehmood
Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan
Rabil Tabassum
Department of Mathematics, Faculty of Natural Sciences, HITEC University, Taxila Cantt, Pakistan
Noreen Sher Akbar
DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan

RÉSUMÉ

The present analysis deals with steady two-dimensional oblique stagnation-point flow of an incompressible Casson fluid with variable viscosity. The variation of viscosity is expressed as an exponential function of temperature. Using the scaling group of transformations, the governing partial differential equations are transformed into a set of nonlinear coupled ordinary differential equations which are solved numerically via the fourth-order Runge-Kutta-Fehlberg scheme coupled with a shooting technique. Variations of diverse parameters on normal, tangential velocity profiles, and temperature are expressed by graphs. The physical quantities of interest such as skin friction coefficients and local heat flux are investigated numerically. Streamline patterns are portrayed to visualize the actual flow behavior against various parameters. It is found that the viscosity variation parameter has increasing effects on the tangential velocity profile (near the wall), temperature distribution, and normal skin friction coefficient, while the normal velocity profile and tangential skin friction coefficient decrease with viscosity parameter.


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