Abstract
Mathematical simulation of natural convection and surface radiation in a square cavity having heat-conducting walls of finite thickness with a heat source located at the bottom of the cavity in convective heat exchange with an environment has been carried out. Numerical analysis has been based on a solution of the two-dimensional Boussinesq equations in the dimensionless variables such as stream function, vorticity, and temperature. Main attention was paid to the effects of Rayleigh number 104 ≤ Ra ≤ 106, an emissivity of internal surfaces of walls 0 ≤ ε < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15, a thickness of walls 0.1 ≤ l/L ≤ 0.3, and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt numbers have been determined.
| Original language | English |
|---|---|
| Pages (from-to) | 11-25 |
| Number of pages | 15 |
| Journal | Computational Thermal Sciences |
| Volume | 5 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
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Keywords
- Boussinesq approximation
- Conjugate natural convection
- Local heat source
- Numerical analysis
- Square enclosure
- Surface radiation
- Two-dimensional regimes
ASJC Scopus subject areas
- Energy Engineering and Power Technology
- Computational Mathematics
- Fluid Flow and Transfer Processes
- Surfaces and Interfaces
Cite this
Numerical analysis of conjugate natural convection and surface radiation in an enclosure with local heat source. / Martyushev, Semen G.; Sheremet, Mikhail A.
In: Computational Thermal Sciences, Vol. 5, No. 1, 2013, p. 11-25.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Numerical analysis of conjugate natural convection and surface radiation in an enclosure with local heat source
AU - Martyushev, Semen G.
AU - Sheremet, Mikhail A.
PY - 2013
Y1 - 2013
N2 - Mathematical simulation of natural convection and surface radiation in a square cavity having heat-conducting walls of finite thickness with a heat source located at the bottom of the cavity in convective heat exchange with an environment has been carried out. Numerical analysis has been based on a solution of the two-dimensional Boussinesq equations in the dimensionless variables such as stream function, vorticity, and temperature. Main attention was paid to the effects of Rayleigh number 104 ≤ Ra ≤ 106, an emissivity of internal surfaces of walls 0 ≤ ε < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15, a thickness of walls 0.1 ≤ l/L ≤ 0.3, and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt numbers have been determined.
AB - Mathematical simulation of natural convection and surface radiation in a square cavity having heat-conducting walls of finite thickness with a heat source located at the bottom of the cavity in convective heat exchange with an environment has been carried out. Numerical analysis has been based on a solution of the two-dimensional Boussinesq equations in the dimensionless variables such as stream function, vorticity, and temperature. Main attention was paid to the effects of Rayleigh number 104 ≤ Ra ≤ 106, an emissivity of internal surfaces of walls 0 ≤ ε < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15, a thickness of walls 0.1 ≤ l/L ≤ 0.3, and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt numbers have been determined.
KW - Boussinesq approximation
KW - Conjugate natural convection
KW - Local heat source
KW - Numerical analysis
KW - Square enclosure
KW - Surface radiation
KW - Two-dimensional regimes
UR - http://www.scopus.com/inward/record.url?scp=84875129883&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84875129883&partnerID=8YFLogxK
U2 - 10.1615/ComputThermalScien.2012006040
DO - 10.1615/ComputThermalScien.2012006040
M3 - Article
VL - 5
SP - 11
EP - 25
JO - Computational Thermal Sciences
JF - Computational Thermal Sciences
SN - 1940-2503
IS - 1
ER -