RT Journal Article
ID 2fe48f7b2fff4fc1
A1 Hassanien, I. A.
A1 Ibrahim, Fouad S.
A1 Omer, Gh. M.
T1 Effect   of Variable Permeability and   Viscous Dissipation   on   a   Non-Darcy   Natural-Convection Regime   with   Thermal   Dispersion
JF Journal of Porous Media
JO JPM
YR 2005
FD 2005-04-01
VO 8
IS 2
SP 237
OP 246
AB The effect of variable permeability on non-Darcy natural-convection flow along an isothermal vertical wall embedded in a saturated porous medium is initiated. The flow field is divided into a non-Darcy regime <i>G</i> <big>&#8594;</big> 0, an intermediate regime <i>G</i> = 0(1), and a limit Darcy regime <i>G</i> <big>&#8594; &#8734;</big> using the inertia buoyancy scales. Thermal dispersion effects are also taken into consideration. The effect of viscous dissipation increases as we move from a non-Darcy to a limit Darcy regime. The effect of viscous dissipation in non-Darcy, intermediate, and limit Darcy regimes is studied with and without thermal dispersion for uniform and variable permeability. The results show a significant decrease in the heat transfer rate with the inclusion of viscous effect. It is seen that as the value of the dispersion parameter increases, the effect of viscous dissipation increases in all three regimes and the percentage decrease in the value of Nu/Ra<sub><i>x</sub></i><sup>1/4</sup> increases with the value of <i>G</i>.
PB Begell House
LK https://www.dl.begellhouse.com/journals/49dcde6d4c0809db,626bf35d4b7650f9,2fe48f7b2fff4fc1.html