Heat and Mass Transfer Research Journal (HMTRJ)

Research Article

MHD Non-Newtonian Casson Fluid Flow With Magnetic Field Effects Over A Non-Linear Stretching Sheet

Alfunsa Prathiba and Bandari Shankar

Department of Mathematics, CVR College of Engineering, Ibrahimpatnam, Telangana, 501510, India.

Submitted: April 3, 2019; Revised: October 25, 2019; Accepted: December 4, 2019

Abstract

In this paper, the boundary layer flow of a Magneto Hydrodynamics (MHD) non-Newtonian Casson fluid and the transfer of heat and mass were considered due to a non-linearly stretching sheet in the presence of heat source/sink and chemical reaction influences. Appropriate similarity transformations were employed to convert the governing partial differential equations to a set of highly non-linear ordinary differential equations and solved numerically by using fourth order Runga Kutta method along with shooting technique. In the current work, the impacts of the governing non-dimensional parameters on the velocity, temperature and concentration profiles were discussed and presented graphically. The profiles of temperature and concentration were found rising when the Casson parameter rose, but the opposite was true for velocity distribution. At the same time, it is observed that, the velocity profile got decreased at a fixed point with an increase of the non-linear stretching parameter, but the temperature profile was enhanced when the non-linear stretching parameter rose. In addition, to check the validity of the method, the coefficient of skin friction and temperature gradient was compared with the previously published work and found in a good agreement.

Keywords

MHD; Heat and mass transfer; Non-Newtonian Casson fluid; Stretching sheet; heat source/sink; chemical reaction.

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