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 |
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Pages (from-to) | 11-25 |
Number of pages | 15 |
Journal | Computational Thermal Sciences |
Volume | 5 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2013 |
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