Engineering Physics and Mathematics
Semi-analytical solution of MHD free convective Jeffrey fluid flow in the presence of heat source and chemical reaction

https://doi.org/10.1016/j.asej.2020.08.015Get rights and content
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Abstract

An analysis is carried out for the steady free convective incompressible electrically conducting Jeffry fluid flow over a stretching surface. In addition, the presence of uniform heat source and first order chemical reaction enhance the heat and mass transfer properties of non-Newtonian fluid. Suitable self-similar transformations are used for the transformation of complex PDEs to nonlinear ODEs. Semi-analytical approach like Adomian Decomposition Method (ADM) is employed for this transformed governing equation to get approximate analytical solution. Further, the behavior of characterizing parameters is presented through graphs. The validation of the present result is obtained with an earlier established result in particular case. However, the major outcomes are; both the interaction parameter and Hartmann number favors in to enhance the velocity profiles whereas the it is interesting to see that, increasing interaction parameter for higher value of Hartmann number retards the fluid temperature but reverse effect is rendered for lower value.

Keywords

Free convection
MHD
Jeffry fluid
Adomian Decomposition Method (ADM)

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Mrs. R. Mohapatra has completed his post graduation in the year of 2003 from Ravenshaw (Auto) College, Cuttack under Utkal University, Bhubneswar, Odisha. Currently, pursuing his Ph.D. in Siksha O Anusandhan Deemed to be University under the guidance of Dr. S.R. Mishra.

Dr. S.R. Mishra is now working as an Associate Professor in the Department of Mathematics, Siksha O Anusandhan Deemed to be University. He has guided 4 research scholars in the field of Fluid dynamics and published More than 72 papers in the international journals of repute for both Scopus and SCI index.

Dr. M. Gnaneswara Reddy was awarded M.Sc. and Ph.D. in Fluid Mechanics from Sri Venkateswara University in 2009. He is working as an Assistant Professor in the Department of Mathematics, Acharya Nagarjuna University Campus, Andhra Pradesh since 2009. Besides teaching he is actively engaged in research in the field of Fluid mechanics particularly, in Heat transfer, boundary layer flows, heat and mass transfer in porous/non-porous media. His research interest also covers the Elliptic curve cryptography.

Peer review under responsibility of Ain Shams University.