Abstract
Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ É < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.
| Original language | English |
|---|---|
| Pages (from-to) | 340-353 |
| Number of pages | 14 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 73 |
| DOIs | |
| Publication status | Published - 1 Jun 2014 |
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Keywords
- Boussinesq approximation
- Conjugate natural convection
- Cubical enclosure
- Heat source
- Numerical analysis
- Surface thermal radiation
- Three-dimensional regimes
ASJC Scopus subject areas
- Condensed Matter Physics
- Mechanical Engineering
- Fluid Flow and Transfer Processes
Cite this
Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source. / Martyushev, Semen G.; Sheremet, Mikhail A.
In: International Journal of Heat and Mass Transfer, Vol. 73, 01.06.2014, p. 340-353.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source
AU - Martyushev, Semen G.
AU - Sheremet, Mikhail A.
PY - 2014/6/1
Y1 - 2014/6/1
N2 - Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ É < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.
AB - Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ É < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.
KW - Boussinesq approximation
KW - Conjugate natural convection
KW - Cubical enclosure
KW - Heat source
KW - Numerical analysis
KW - Surface thermal radiation
KW - Three-dimensional regimes
UR - http://www.scopus.com/inward/record.url?scp=84896783037&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84896783037&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2014.02.009
DO - 10.1016/j.ijheatmasstransfer.2014.02.009
M3 - Article
VL - 73
SP - 340
EP - 353
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
SN - 0017-9310
ER -