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Bulletin of Pure & Applied Sciences- Mathematics and Statistics
Year : 2017, Volume : 36e, Issue : 2
First page : ( 266) Last page : ( 284)
Print ISSN : 0970-6577. Online ISSN : 2320-3226.
Article DOI : 10.5958/2320-3226.2017.00029.7

Diffusion thermo and thermal diffusion effects on MHD free convection flow of rivlin-ericksen fluid past a semi infinite vertical plate

Reddy P. Chandra1,*, Raju M.C.1, Raju G.S.S.2, Reddy C. Madhava3

1Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet-516126, Andhra Pradesh, India

2Department of Mathematics, JNTUA College of Engineering, Pulivendula, Andhra Pradesh, India

3Department of Mathematics, S.V. University, Tirupati-517502, A.P, India

*Corresponding Author: P. Chandra Reddy, Department of Mathematics, Annamacharya Institute of Technology and Sciences (Autonomous), Rajampet-516126, A.P., India. E-mail: chandramsc01@gmail.com

Online published on 16 January, 2018.

Abstract

An attempt is made to study diffusion thermo and thermal diffusion effects on MHD free convection flow of Rivlin-Ericksen fluid past a semi infinite vertical plate with constant mass flux numerically. A uniform transverse magnetic field is applied perpendicular to the plate. The presence of viscous dissipation is also considered. The dimensionless governing equations are coupled and non linear system of partial differential equations which are solved by finite difference method. The effects of various physical parameters viz. Magnetic parameter (M), Viscoelastic parameter (λ), Grashof number (G), modified Grashof number (Gc), Eckert number (E), Prandtl number (Pr), Schmidt numbere (Sc), Soret number (So), Dufour number (Df) on velocity, temperature and concentration are studied. Variations in skin friction, Nusselt number and Sherwood number are also discussed. The results are presented with the help of graphs. It is noticed that the velocity distribution increases for increasing values of G, Gc, λ, Df, So, E and decreasing values of M, Pr, Sc. The temperature rises with increasing values of Df, Sc, E where as the temperature falls down for increasing values of So and Pr. The concentration increases for increasing values of So and Pr, but a reverse effect is found in the case of Df, Sc and E.

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Keywords

MHD, free convection flow, Rivlin-Ericksen fluid; constant mass flux, .

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