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.
Highlights
Substantial progression has been marked in the mechanics of third grade fluid over the years due to its various application in engineering, geology, pharmaceutical industries and agriculture
Taking into account the useful information obtained from the above mentioned studies, the principal objective of this paper is to study the combined effect of electric and magnetic field on the flow and heat transfer of third grade fluid through porous channels and a comprehensive study of impact of several non-dimensional parameters on the velocity and temperature profiles
We have considered the Electro-MHD flow of an incompressible, viscous, unsteady third grade fluid in a porous channel with vertically applied magnetic field and horizontally applied electric field
Summary
Substantial progression has been marked in the mechanics of third grade fluid over the years due to its various application in engineering, geology, pharmaceutical industries and agriculture. Many useful work has been done in connection with third grade fluids. Szeri and Rajagopal [26] investigated flow of third grade fluid passing through heated parallel plates. Rajagopal [22] gave a note with regard to drag for fluids of third grade. Pakdemirli [20] discussed the boundary layer equations of steady, incompressible, two-dimensional third grade fluid using special coordinate system. We have considered the Electro-MHD flow of an incompressible, viscous, unsteady third grade fluid in a porous channel with vertically applied magnetic field and horizontally applied electric field. Using the stress equation of the third grade fluid [9, 25], the momentum equation is represented as ( ∂u′ ρ ∂t′ +V ) ∂u′ ∂2u′ ∂y′ = μ ∂y′2.
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