Effect of Radiation on Non-Darcy Free Convection from a Vertical Cylinder Embedded in a Fluid-Saturated Porous Medium with a Temperature-Dependent Viscosity

2007 ◽  
Vol 10 (2) ◽  
pp. 209-218 ◽  
Author(s):  
A. M. Rashad ◽  
M. A. El-Hakiem
Keyword(s):  
Porous Medium ◽  
Free Convection ◽  
Saturated Porous Medium ◽  
Vertical Cylinder ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Fluid Saturated Porous Medium ◽  
Dependent Viscosity

The effects of temperature-dependent viscosity and the instabilities in convection rolls of a layer of fluid-saturated porous medium

1989 ◽  
Vol 206 ◽  
pp. 497-515 ◽  
Author(s):  
A. C. Or
Keyword(s):  
Porous Medium ◽  
Variable Viscosity ◽  
Saturated Porous Medium ◽  
Horizontal Layer ◽  
Finite Amplitude ◽  
Mean Flow ◽  
Temperature Dependent ◽  
Temperature Dependent Viscosity ◽  
Fluid Saturated Porous Medium ◽  
Dependent Viscosity

Convection of two-dimensional rolls in an infinite horizontal layer of fluid-saturated porous medium heated from below is studied numerically. Several important finite-amplitude states are isolated, and their bifurcation properties are shown. Effects of the temperature-dependent viscosity are included. The stability of these states is investigated with respect to the class of disturbances that have a ½π phase shift relative to the basic state. In particular, the oscillatory mechanism and the mean-flow generating mechanism through the variable viscosity are discussed.

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