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Heat Transfer Research
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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2018014771
pages 1185-1198

MHD FLOW AND HEAT TRANSFER IN A CASSON FLUID OVER A NONLINEARLY STRETCHING SHEET WITH NEWTONIAN HEATING

Abid Hussanan
Shenzhen University
Mohd Zuki Salleh
Applied and Industrial Mathematics Research Group, Faculty of Industrial Sciences & Technology, Universiti Malaysia Pahang, 26300 UMP Kuantan, Pahang, Malaysia
Hamzeh Taha Alkasasbeh
Applied and Industrial Mathematics Research Group, Faculty of Industrial Science and Technology, Universiti Malaysia Pahang, Pahang, Malaysia
Ilyas Khan
Ton Duc Thang University

ABSTRACT

The magnetohydrodynamic (MHD) flow of a Casson fluid and heat transfer to a nonlinearly stretching sheet with Newtonian heating are studied. With the help of similarity transformations, the governing equations are converted into nonlinear ordinary differential equations. The Runge−Kutta−Fehlberg fourth-fift h order (RKF45) method is employed to obtain numerical solutions for the velocity and temperature distributions. Closed form analytical solutions are also obtained. The resulting velocity and temperature are shown graphically and discussed for the case of a uniform moving surface, a linearly or nonlinearly stretching sheet. The present results are also compared with the previous results for a Newtonian fluid. The results show that the velocity field is much more pronounced in the case of a uniformly moving surface as compared to a linearly stretching sheet or a nonlinearly stretching sheet. It is also found that the Casson fluid have higher velocity than the Newtonian fluid.


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