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Research Journal of Science and Technology
Year : 2017, Volume : 9, Issue : 3
First page : ( 453) Last page : ( 460)
Print ISSN : 0975-4393. Online ISSN : 2349-2988.
Article DOI : 10.5958/2349-2988.2017.00079.1

Convective Conditions on MHD Casson Fluid in a Suspension of Dusty Particles with Darcy's Porous

Mamatha S. U.1,*, Raju C. S. K.2, Giridhar D Madhavi3

1Department of Mathematics, Garden City University, Bengaluru, Karnataka, 560049

2Department of Mathematics, GITAM University, Bangalore, Karnataka-562163, sivaphd90@gmail.com

3Department of Mathematics, Garden City University, Bengaluru, Karnataka, 577002, madhavi.g@gardencitycollege.edu

*Corresponding Author E-mail: mamathasupadhya@gmail.com

Online published on 12 June, 2018.

Abstract

The present study is to analyze Darcy-Forchheimer steady incompressible (MHD) non-Newtonian Casson fluid with suspension of dust particles over a stretching surface with exponentially decaying heat source. Convective boundary conditions are also considered. Similarity transformations were used to convert partial differential equations (PDEs) to a system of nonlinear ordinary differential equations (NODEs) which are solved numerically by employing Runge-Kutta with shooting technique. The effect of pertinent parameters on velocity and temperature profiles of both fluid and dust phase within the boundary layer has been studied by considering various values of controlling parameters. Additionally, skin friction coefficient and Nusselt number have been examined for various values of the governing parameters. It is found that non-uniform inertia coefficient of porous medium, porosity parameter and Casson fluid parameter decreases friction factor and Nusselt number.

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Keywords

Exponentially decaying heat source, Convective conditions, Dusty fluid, Casson fluid, Darcy-Forchheimer.

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