Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel

Authors

  • Sukanya Padhi Veer Surendra Sai University of Technology, Burla, Odisha.
  • Itishree Nayak Veer Surendra Sai University of Technology, Burla, Odisha.

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3707

Keywords:

Electro-MHD (EMHD), third grade fluid, porous channel, finite-difference scheme, damped-Newton method.

Abstract

This paper examines the Electro-MHD flow and heat transfer of a third grade fluid passing through a porous channel. An unidirectional and one-dimensional flow is propelled with the aid of lorentz force generated due to interaction of vertically applied magnetic ï¬eld along with horizontally applied electric ï¬eld. The equations of momentum and energy governing the third grade fluid flow are transformed to algebraic equation from nonlinear partial differential equation by implementing fully implicit ï¬nite difference scheme and solution is obtained by damped-Newton method. Lastly, the problem is simulated using MATLAB and the influence on velocity and temperature proï¬les with variation of non-dimensional parameters are depicted graphically. The noteworthy ï¬ndings of this study is that the increasing values of elastic parameter α and non-Newtonian parameter γ diminishes the flow velocity and results in enhancement of temperature proï¬le. A completely contrasting effect is observed for increasing values of strength of electric and magnetic ï¬eld.

Author Biographies

  • Sukanya Padhi, Veer Surendra Sai University of Technology, Burla, Odisha.
    Research Scholar, Department of Mathematics, V.S.S. University of Technology, Burla.
  • Itishree Nayak, Veer Surendra Sai University of Technology, Burla, Odisha.
    Assistant Professor,  Department of Mathematics, V.S.S. University of Technology, Burla.

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Published

2020-12-27

Issue

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

How to Cite

Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1270-1284. https://doi.org/10.29020/nybg.ejpam.v13i5.3707