L. Ramamohan Reddya, M. C. Rajub* and G.S.S Rajuc

aDepartment of Mathematics, Mekapati Rajamohan Reddy Institute of Technology and Science, Udayagiri, Nellore District, A.P, India
bDepartments of Humanities and Sciences, Annamacharya Institute of Technology and Sciences (Autonomous), India
cDepartment of Mathematics, JNTUA College of Engineering Pulivendula (Autonomous), Pulivendula, A.P, India

 

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ABSTRACT

The present study considers an analytical investigation of unsteady MHD freeThe present study considers an analytical investigation of unsteady MHD freeconvection flow of a viscoelastic, incompressible, electrically conducting fluid past a verticalporous plate through a porous medium with time dependent oscillatory permeability and suctionin presence of a uniform transverse magnetic field. Then effects of radiation, heat generation/absorption, radiation absorption and homogeneous chemical reaction are c onsidered. The noveltyof the present study is to analyze the effect of time dependent fluctuate suction and permeabilityof the medium on a viscoelastic fluid flow in the presence of radiation, heat generation/ absorption,radiation absorption and chemica l reaction. The coupled nonlinear partial differential equationsare turned to ordinary by super imposing solutions with steady and time dependent transient part.Finally, the set of ordinary differential equations are solved with a perturbation scheme to meet theinadequacy of boundary condition. Elasticity of the fluid and the Lorentz force reduce the velocityand it is more pronounced in case of heavier species. Most interesting observation is the fluctuationof velocity appears near the plate due to the presence of sink and presences of elastic element aswell as heat source reduce the skin friction.


Keywords: Visco elastic fluid; oscillatory flow; thermal radiation; chemical reaction; heat and mass transfer; radiation absorption; porous plate.


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ARTICLE INFORMATION

Received: 2015-09-30
Revised: 2016-03-21
Accepted: 2016-03-23
Available Online: 2016-07-01


Cite this article:

Reddy, L.R., Raju, M.C., Raju, G.S.S. 2016. Unsteady MHD free convection flow characteristics of a viscoelastic fluid past a vertical porous plate. International Journal of Applied Science and Engineering, 14, 69–85. https://doi.org/10.6703/IJASE.2016.14(2).69

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