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多孔介质期刊
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多孔介质期刊

DOI: 10.1615/JPorMedia.2018018872
pages 739-748

HEAT TRANSFER ANALYSIS IN MHD FLOW OF CASSON FLUID OVER A VERTICAL PLATE EMBEDDED IN A POROUS MEDIUM WITH ARBITRARY WALL SHEAR STRESS

Arshad Khan
Institute of Business and Management Sciences, The University of Agriculture Peshawar, KPK, Pakistan
Ilyas Khan
Ton Duc Thang University
Asim Khan
Department of Computer Science and IT, Faculty of Science, Sarhad University of Science and IT, KPK, Pakistan
Sharidan Shafie
Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia 81310 UTM Johor Bahru, Johor, Malaysia

ABSTRACT

Heat transfer analysis in unsteady MHD flow of Casson fluid over a vertical plate is analyzed. The plate with arbitrary wall shear and constant temperature is embedded in a porous medium. The problem is modeled in terms of partial differential equations with some physical conditions. Due to an increasing Casson parameter the velocity rises near the plate whereas it decreases far from the plate. This problem accepts exact solutions, which are obtained using the Laplace transform technique. These solutions are expressed in terms of exponential functions and complementary error functions of Gauss. Some limiting solutions are also deduced. The velocity of fluid is found to decrease with increasing constant wall shear stress and decreases with increasing magnetic parameter. Graphical results are plotted and discussed for embedded parameters.


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