Open AccessAnalysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel
Author(s) -
Sukanya Padhi,
Itishree Nayak
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i5.3707
Subject(s) - lorentz force , magnetohydrodynamics , mathematics , mechanics , flow (mathematics) , nonlinear system , momentum (technical analysis) , mathematical analysis , algebraic equation , newtonian fluid , classical mechanics , magnetic field , physics , finance , quantum mechanics , economics
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.