Abstract
Transient natural convection in a vertical cylinder containing both a fluid layer overlying a horizontal porous layer saturated with the same fluid and heat-conducting solid shell of finite thickness in conditions of convective heat exchange with an environment has been studied numerically. The Beavers-Joseph empirical boundary condition is considered at the fluidporous interface with the Darcy model for the porous layer and the Boussinesq approximation for the pure fluid. The governing equations formulated in dimensionless variables, such as the stream function, the vorticity, and the temperature have been solved by a finite difference method. Particular efforts have been focused on the effects of five types of influential factors, such as the Darcy number 10-5 ≤Da ≤10-3, the porous layer height ratio 0≤d/L≤1, the solid shell thickness ratio 0.1≤l/L≤0.3, the thermal conductivity ratio 1≤k1,3≤20, and the dimensionless time 0≤ τ≤1000 on the fluid flow and heat transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt number at the bottom wall, on the average temperature in the cavity, and on the maximum absolute value of the stream function has been conducted.
| Original language | English |
|---|---|
| Pages (from-to) | 994-1015 |
| Number of pages | 22 |
| Journal | Numerical Heat Transfer; Part A: Applications |
| Volume | 64 |
| Issue number | 12 |
| DOIs | |
| Publication status | Published - 26 Sep 2013 |
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ASJC Scopus subject areas
- Numerical Analysis
- Condensed Matter Physics
Cite this
Unsteady conjugate natural convection in a vertical cylinder partially filled with a porous medium. / Sheremet, Mikhail A.; Trifonova, Tatyana A.
In: Numerical Heat Transfer; Part A: Applications, Vol. 64, No. 12, 26.09.2013, p. 994-1015.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Unsteady conjugate natural convection in a vertical cylinder partially filled with a porous medium
AU - Sheremet, Mikhail A.
AU - Trifonova, Tatyana A.
PY - 2013/9/26
Y1 - 2013/9/26
N2 - Transient natural convection in a vertical cylinder containing both a fluid layer overlying a horizontal porous layer saturated with the same fluid and heat-conducting solid shell of finite thickness in conditions of convective heat exchange with an environment has been studied numerically. The Beavers-Joseph empirical boundary condition is considered at the fluidporous interface with the Darcy model for the porous layer and the Boussinesq approximation for the pure fluid. The governing equations formulated in dimensionless variables, such as the stream function, the vorticity, and the temperature have been solved by a finite difference method. Particular efforts have been focused on the effects of five types of influential factors, such as the Darcy number 10-5 ≤Da ≤10-3, the porous layer height ratio 0≤d/L≤1, the solid shell thickness ratio 0.1≤l/L≤0.3, the thermal conductivity ratio 1≤k1,3≤20, and the dimensionless time 0≤ τ≤1000 on the fluid flow and heat transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt number at the bottom wall, on the average temperature in the cavity, and on the maximum absolute value of the stream function has been conducted.
AB - Transient natural convection in a vertical cylinder containing both a fluid layer overlying a horizontal porous layer saturated with the same fluid and heat-conducting solid shell of finite thickness in conditions of convective heat exchange with an environment has been studied numerically. The Beavers-Joseph empirical boundary condition is considered at the fluidporous interface with the Darcy model for the porous layer and the Boussinesq approximation for the pure fluid. The governing equations formulated in dimensionless variables, such as the stream function, the vorticity, and the temperature have been solved by a finite difference method. Particular efforts have been focused on the effects of five types of influential factors, such as the Darcy number 10-5 ≤Da ≤10-3, the porous layer height ratio 0≤d/L≤1, the solid shell thickness ratio 0.1≤l/L≤0.3, the thermal conductivity ratio 1≤k1,3≤20, and the dimensionless time 0≤ τ≤1000 on the fluid flow and heat transfer. Comprehensive analysis of an effect of these key parameters on the Nusselt number at the bottom wall, on the average temperature in the cavity, and on the maximum absolute value of the stream function has been conducted.
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U2 - 10.1080/10407782.2013.811973
DO - 10.1080/10407782.2013.811973
M3 - Article
VL - 64
SP - 994
EP - 1015
JO - Numerical Heat Transfer; Part A: Applications
JF - Numerical Heat Transfer; Part A: Applications
SN - 1040-7782
IS - 12
ER -