Abstract
The present study investigates fully developed free - convection Jeffrey fluid flow between two vertical plates with porous medium. The vertical plates are moving with same velocity but in opposite directions. The coupled nonlinear governing equations are solved by using the linearization technique. The solutions for velocity distribution, temperature distribution, skin friction and rate of heat transfer is obtained in the presence of porous medium by Iterative procedure. Shooting technique with Runge - Kutta method of order four is proposed to compare the numerical results for velocity and temperature distribution. The numerical results obtained by both methods are compared and presented graphically. It is observed that an increase in the permeability parameter causes decrease in the fluid velocity and an increase in the Jeffrey fluid parameter causes an enhancement in the fluid velocity. The significance of various pertinent parameters like Grashof number, Prandtl number, Eckert number and the plate velocity are explained through graphs.
Highlights
In recent times various researchers give importance in the wide applications of free convection flow with heat transfer applications in melt spinning, glass-fibre production processes, food processing, mechanical forming processes etc
The present study investigates fully developed free - convection Jeffrey fluid flow between two vertical plates with porous medium
We proposed to study free convection and heat transfer influence on Jeffrey fluid flow with porous medium confined between two long, parallel, vertical plates moving with same velocities but in opposite directions
Summary
In recent times various researchers give importance in the wide applications of free convection flow with heat transfer applications in melt spinning, glass-fibre production processes, food processing, mechanical forming processes etc. The effect of Grashof number on laminar flow of free convection with heat transfer was examined by Suriano et al, [2]. Rajagopal [6] studied the non-Newtonian fluid flow past an infinite porous plate. Heat transfer flow through a porous medium bounded by an infinite vertical plate with magnetic field was studied by Raptis et al, [9]. Free flow of a Jeffrey fluid between two long vertical thin plates studied was by Srinivas et al, [10]. We proposed to study free convection and heat transfer influence on Jeffrey fluid flow with porous medium confined between two long, parallel, vertical plates moving with same velocities but in opposite directions. The numerical results obtained by both methods are compared and presented graphically
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