Natural convection from a vertical plate immersed in a power-law fluid saturated non-Darcy porous medium with viscous dissipation and Soret effects

2014 ◽  
Vol 26 (7-8) ◽  
pp. 1495-1518 ◽  
Author(s):  
Ahmed A. Khidir ◽  
M. Narayana ◽  
P. Sibanda ◽  
P. V. S. N. Murthy

The fluid is actually thought about to be grey, absorbing, and producing yet non-scattering channel. In this study, our team recommend to study the natural convection warmth as well as mass move coming from an upright level embedded in a power-law liquid saturated Darcy permeable resource together with domino effect and radiation effects. The managing partial differential methods are transformed in to ordinary differential formulations using correlation improvements and after that took care of numerically making use of Shooting strategy. It was discovered that speed circulation boosted with improving buoyancy specifications; temp reduced along with enhancing Prandtl amount, and focus minimized along with raising the Schmidt amount.


2003 ◽  
Vol 39 (10) ◽  
pp. 807-813 ◽  
Author(s):  
M. F. El-Amin ◽  
M. A. El-Hakiem ◽  
M. A. Mansour

1990 ◽  
Vol 68 (12) ◽  
pp. 1456-1463 ◽  
Author(s):  
H. Pascal

The question of the rheological effects of non-Newtonian fluids on the natural convection mechanism in a porous medium is addressed. These effects are illustrated for a power-law fluid with a yield stress, in which the yield stress is temperature dependent. The case of a constant-temperature boundary along a heated vertical plate embedded in a porous medium is investigated. For this case the approximate self-similar solutions in closed form of steady and transient states are presented and discussed. The rheological effects on the convection pattern are shown.


2010 ◽  
Vol 15 (2) ◽  
pp. 139-154 ◽  
Author(s):  
A. J. Chamkha ◽  
A. M. Aly ◽  
M. A. Mansour

A numerical solution is presented for unsteady coupled heat and mass transfer by natural convection from a non-Newtonian power-law fluid flow past a vertical plate embedded in a non-Darcian porous medium in the presence of viscous dissipation and chemical reaction effects. The governing equations are formulated and a numerical solution is obtained by using an explicit finite-difference scheme. The solutions at each time step have been found to reach the steady state solution properly. The numerical results are presented in tabular and graphical form to show the effects of material parameters of the problem on the solution.


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