TY - JOUR
T1 - Numerical simulation of natural convection heat transfer in a porous cavity heated from below using a non-Darcian and thermal non-equilibrium model
AU - Khashan, S. A.
AU - Al-Amiri, A. M.
AU - Pop, I.
N1 - Funding Information:
The first author acknowledges the financial support received from the Research Affairs at the UAE University under contract number 06-05-7-11/04.
PY - 2006/3
Y1 - 2006/3
N2 - The present paper investigates the numerical simulation of steady laminar incompressible natural convection heat transfer in an enclosed cavity that is filled with a fluid-saturated porous medium. The bottom wall is subjected to a relatively higher temperature than the top wall while the vertical walls are considered to be insulated. The flow field is modeled upon incorporating different non-Darcian effects, such as the convective term, Brinkman effect and Forchhiemer quadratic inertial effect. Moreover the two-equation model is used to separately account for the local fluid and solid temperatures. The numerical solution is obtained through the application of the finite volume method. The appraisals of the sought objectives are performed upon identifying key dimensionless groups of parameters. These dimensionless groups along with their operating domains are: Rayleigh number 1 ≤ Ra ≤ 400, Darcy number 10 -4 ≤ Da ≤ 10-3, effective fluid-to-solid thermal conductivity ratio 0.1 ≤ κ ≤ 1.0, and the modified Biot number 1 ≤ χ ≤ 100. The non-Darcian effects are first examined over a broad range of Rayleigh number. Next, the implications of the group of parameters on the flow circulation intensity, local thermal non-equilibrium (LTNE) and average Nusselt number are highlighted and pertinent observations are documented.
AB - The present paper investigates the numerical simulation of steady laminar incompressible natural convection heat transfer in an enclosed cavity that is filled with a fluid-saturated porous medium. The bottom wall is subjected to a relatively higher temperature than the top wall while the vertical walls are considered to be insulated. The flow field is modeled upon incorporating different non-Darcian effects, such as the convective term, Brinkman effect and Forchhiemer quadratic inertial effect. Moreover the two-equation model is used to separately account for the local fluid and solid temperatures. The numerical solution is obtained through the application of the finite volume method. The appraisals of the sought objectives are performed upon identifying key dimensionless groups of parameters. These dimensionless groups along with their operating domains are: Rayleigh number 1 ≤ Ra ≤ 400, Darcy number 10 -4 ≤ Da ≤ 10-3, effective fluid-to-solid thermal conductivity ratio 0.1 ≤ κ ≤ 1.0, and the modified Biot number 1 ≤ χ ≤ 100. The non-Darcian effects are first examined over a broad range of Rayleigh number. Next, the implications of the group of parameters on the flow circulation intensity, local thermal non-equilibrium (LTNE) and average Nusselt number are highlighted and pertinent observations are documented.
KW - Local thermal non-equilibrium model
KW - Natural convection
KW - Non-Darcy model
KW - Numerical simulation
KW - Porous medium
UR - http://www.scopus.com/inward/record.url?scp=33144465563&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33144465563&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2005.09.011
DO - 10.1016/j.ijheatmasstransfer.2005.09.011
M3 - Article
AN - SCOPUS:33144465563
SN - 0017-9310
VL - 49
SP - 1039
EP - 1049
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 5-6
ER -