Vortex Instability of Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium with Variable Permeability

2007 ◽  
Vol 11 (3) ◽  
pp. 305-321 ◽  
Author(s):  
A. M. Elaiw ◽  
F. S. Ibrahim
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Horizontal Surface ◽  
Convection Boundary Layer ◽  
Vortex Instability ◽  
Variable Permeability ◽  
Convection Boundary ◽  
Layer Flow

scholarly journals Effect of Variable Viscosity on Vortex Instability of Non-Darcy Mixed Convection Boundary Layer Flow Adjacent to a Nonisothermal Horizontal Surface in a Porous Medium

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
A. M. Elaiw ◽  
A. A. Bakr ◽  
M. A. Alghamdi ◽  
F. S. Ibrahim
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Mixed Convection ◽  
Boundary Layer Flow ◽  
Variable Viscosity ◽  
Finite Difference Schemes ◽  
Convection Boundary Layer ◽  
Vortex Instability ◽  
Convection Boundary ◽  
Layer Flow

We study the effect of variable viscosity on the flow and vortex instability for non-Darcy mixed convection boundary layer flow on a nonisothermal horizontal plat surface in a saturated porous medium. The variation of viscosity is expressed as an exponential function of temperature. The analysis of the disturbance flow is based on linear stability theory. The base flow equations and the resulting eigenvalue problem are solved using finite difference schemes. It is found that the variable viscosity effect enhances the heat transfer rate and destabilizes the flow for liquid heating, while the opposite trend is true for gas heating.

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