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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.2018025939
pages 581-603

SIMULTANEOUS SOLUTIONS FOR MHD FLOW OF WILLIAMSON FLUID OVER A CURVED SHEET WITH NONUNIFORM HEAT SOURCE/SINK

Kempannagari Anantha Kumar
Department of Mathematics, Sri Venkateswara University, Tirupati-517 502, India
J. V. Ramana Reddy
Department of Mathematics, Sri Venkateswara University, Tirupati-517502, India; Department of Science and Humanities, Krishna Chaitanya Institute of Technology and Sciences, Markapur, India
Vangala Sugunamma
Department of Mathematics, Sri Venkateswara University, Tirupati-517502, India
N. Sandeep
Department of Mathematics, Central University of Karnataka, Kalaburagi-585 367, India

RÉSUMÉ

Heat and mass transfer effects on both time-dependent and time-independent MHD flow of Williamson fluid due to a curved surface are discussed. This analysis is carried out subject to thermal radiation and chemical reaction. The solutal and convective boundary conditions are considered. To seek the solution of the problem, a system of proper transmutations is appraised to convert the flow equations into ODE. The solution of the transformed equations is attained by the consecutive application of the Fehlberg and shooting techniques. Graphs are plotted to emphasize the impact of sundry physical parameters on flow fields. Further, we evaluated the friction factor, as well as heat and mass transport rates. It is noted that the curvature parameter enhances the velocity field while the reverse trend is detected due to the Williamson fluid and magnetic field parameters. Also, it is worth mentioning that the temperature profiles of steady flow are fruitfully affected when compared to the unsteady flow for all the parameters involved in the flow.


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