Rheological effects of non-Newtonian fluids on natural convection in a porous medium

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.

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.


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