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research-article

Effects of Hall Current and Chemical Reaction on MHD Unsteady Heat and Mass Transfer of Casson Nanofluid Flow through a Vertical Plate

[+] Author and Article Information
Rajib Biswas

M.Sc. in Applied Mathematics, Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
rajibkumath11@gmail.com

Sarder Firoz Ahmmed

Professor, Mathematics Discipline, Khulna University, Khulna - 9208, Bangladesh
sfahmmed@yahoo.com

1Corresponding author.

ASME doi:10.1115/1.4039909 History: Received August 23, 2017; Revised April 02, 2018

Abstract

In this paper we have reported the effects of Hall current on MHD unsteady heat and mass transfer of Casson nanofluid flow through a vertical plate in the presence of radiation and chemical reaction. The model used for the nanofluid includes the effects of thermophoresis and Brownian motion. Then the model equations are transformed into non-dimensional form by the as usual mathematical procedure of transformation and the resultant non-dimensional coupled partial differential equations are solved by applying explicit finite difference technique. The obtained results are plotted after stability test by using graphics software tecplot-9.Then the results indicate the fluid flow, temperature and concentration distributions are significantly invaded by the various dimensionless parameters such as Magnetic parameter, Schmidt number, Grashof number, Lewis number, Prandtl number, modified Grashof number, Dufour number, thermophoresis parameter, Brownian motion parameter, Chemical reaction and Radiation parameter on velocity, temperature and concentration profiles along with the local Skin friction, local Nusselt number and Sherwood number. We have also discussed the results with the help of graphs. An increase in the Casson parameter is to put down the velocity and Dufour number parameter cut back the velocity profile whereas increasing the heat generation parameter increases the temperature profiles.

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