Abstract
Transient-free convection in a porous enclosure having heat-conducting solid walls of finite thickness under conditions of convective heat exchange with an environment was studied numerically. A heat source of constant temperature was located at the bottom of the cavity. The governing equations in porous volume formulated in dimensionless variables such as the temperature and vector potential functions within the Darcy-Boussinesq approach and the transient three-dimensional heat conduction equation based on the Fourier hypothesis for solid walls with corresponding initial and boundary conditions were solved using an iterative implicit finite-difference method. The main objective was to investigate the influence of the Rayleigh number 103 ≤ Ra ≤ 106, the Darcy number 10-5 ≤ Da ≤ 10-3, the thermal conductivity ratio 1 ≤ k1,2 ≤ 20, the solid wall thickness ratio 0.1 ≤ l/L ≤ 0.3, and the dimensionless time 0 ≤ τ ≤ 200 on the fluid flow and heat transfer. Comprehensive analysis of the effects of these key parameters on the average Nusselt number at the heat source surface was conducted.
| Original language | English |
|---|---|
| Pages (from-to) | 243-267 |
| Number of pages | 25 |
| Journal | Numerical Heat Transfer; Part A: Applications |
| Volume | 68 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 3 Aug 2015 |
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ASJC Scopus subject areas
- Numerical Analysis
- Condensed Matter Physics
Cite this
Unsteady conjugate natural convection in a three-dimensional porous enclosure. / Sheremet, Mikhail A.
In: Numerical Heat Transfer; Part A: Applications, Vol. 68, No. 3, 03.08.2015, p. 243-267.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Unsteady conjugate natural convection in a three-dimensional porous enclosure
AU - Sheremet, Mikhail A.
PY - 2015/8/3
Y1 - 2015/8/3
N2 - Transient-free convection in a porous enclosure having heat-conducting solid walls of finite thickness under conditions of convective heat exchange with an environment was studied numerically. A heat source of constant temperature was located at the bottom of the cavity. The governing equations in porous volume formulated in dimensionless variables such as the temperature and vector potential functions within the Darcy-Boussinesq approach and the transient three-dimensional heat conduction equation based on the Fourier hypothesis for solid walls with corresponding initial and boundary conditions were solved using an iterative implicit finite-difference method. The main objective was to investigate the influence of the Rayleigh number 103 ≤ Ra ≤ 106, the Darcy number 10-5 ≤ Da ≤ 10-3, the thermal conductivity ratio 1 ≤ k1,2 ≤ 20, the solid wall thickness ratio 0.1 ≤ l/L ≤ 0.3, and the dimensionless time 0 ≤ τ ≤ 200 on the fluid flow and heat transfer. Comprehensive analysis of the effects of these key parameters on the average Nusselt number at the heat source surface was conducted.
AB - Transient-free convection in a porous enclosure having heat-conducting solid walls of finite thickness under conditions of convective heat exchange with an environment was studied numerically. A heat source of constant temperature was located at the bottom of the cavity. The governing equations in porous volume formulated in dimensionless variables such as the temperature and vector potential functions within the Darcy-Boussinesq approach and the transient three-dimensional heat conduction equation based on the Fourier hypothesis for solid walls with corresponding initial and boundary conditions were solved using an iterative implicit finite-difference method. The main objective was to investigate the influence of the Rayleigh number 103 ≤ Ra ≤ 106, the Darcy number 10-5 ≤ Da ≤ 10-3, the thermal conductivity ratio 1 ≤ k1,2 ≤ 20, the solid wall thickness ratio 0.1 ≤ l/L ≤ 0.3, and the dimensionless time 0 ≤ τ ≤ 200 on the fluid flow and heat transfer. Comprehensive analysis of the effects of these key parameters on the average Nusselt number at the heat source surface was conducted.
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U2 - 10.1080/10407782.2014.977172
DO - 10.1080/10407782.2014.977172
M3 - Article
VL - 68
SP - 243
EP - 267
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 3
ER -