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Influence of Induced Magnetic Field and Radiation on Free Convective Jeffrey Fluid Flow between two Parallel Porous Plates with Soret and Dufour Effects

Published online by Cambridge University Press:  14 April 2019

Odelu Ojjela Open the ORCID record for Odelu Ojjela [Opens in a new window] ,
Adigoppula Raju  and
N. Naresh Kumar
Odelu Ojjela*
Affiliation:
Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, India
Adigoppula Raju
Affiliation:
Department of Applied Mathematics, Defence Institute of Advanced Technology (Deemed University), Pune, India
N. Naresh Kumar
Affiliation:
Department of Mathematics, SASTRA (Deemed to be University), Thanjavur, India
*
* Corresponding author (odelu@diat.ac.in ; odelu3@yahoo.co.in (Odelu Ojjela))
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Abstract

The present article deals with the influence of the induced magnetic field on an unsteady two dimensional incompressible free convective chemically reacting slip flow of Jeffrey fluid between two parallel plates under the influence of the thermal radiation, Soret and Dufour. It is assumed that the flow is generated due to periodic suction/injection and the non-uniform temperature and concentrations are varying periodically with time at the plates. The governing partial differential equations are reduced into nonlinear ordinary differential equations by using similarity transformations and solved by shooting method along with Rung-Kutta 4th order scheme. The results are analyzed for various flows, heat and mass transfer characteristics with respect to various prominent parameters such as the ratio of relaxation to retardation times, Deborah number, magnetic Reynold’s number, Strommer’s number, radiation parameter, chemical reaction parameter, Soret and Dufour numbers in details through graphs and tables. It is observed that the temperature of the fluid is enhanced with Soret and Dufour whereas the concentration is decreased. Also the mass transfer rate of the fluid is enhanced with Strommer’s number, whereas the heat transfer rate decreases with increasing of the Jeffery fluid parameter. The present results have good agreement with published work for Newtonian case.

Keywords

Jeffrey fluidinduced magnetic fieldradiationchemical reactionfree convectionSoret and Dufour
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 5 , October 2019 , pp. 657 - 675
Copyright
© The Society of Theoretical and Applied Mechanics 2019 

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