Abstract
Mathematical simulation of the nonstationary regimes of heat-and-mass transfer in a ventilated rectangular cavity with heat-conducting walls of finite thickness in the presence of a heat-generating element of constant temperature has been carried out with account for the radiative heat transfer in the Rosseland approximation. As mechanisms of energy transfer in this cavity, the combined convection and the thermal radiation in the gas space of the cavity and the heat conduction in the elements of its fencing solid shell were considered. The mathematical model formulated in the dimensionless stream function-vorticity vector-temperature-concentration variables was realized numerically with the use of the finite-difference method. The streamline, temperature- field, and concentration distributions reflecting the influence of the Rayleigh number (Ra = 104, 105, 106), the nonstationarity (0 < τ ≤ 1000), and the optical thickness of the medium (τλ = 50, 100, 200) on the regimes of the gas flow and the heat-and-mass transfer in the cavity have been obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 828-835 |
| Number of pages | 8 |
| Journal | Journal of Engineering Physics and Thermophysics |
| Volume | 85 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jul 2012 |
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Keywords
- Combined convection
- Heat-and-mass transfer
- Numerical analysis
- Radiation
- Solid walls
ASJC Scopus subject areas
- Condensed Matter Physics
- Engineering(all)
Cite this
Mathematical simulation of convective-radiative heat transfer in a ventilated rectangular cavity with consideration of internal mass transfer. / Sheremet, M. A.; Shishkin, N. I.
In: Journal of Engineering Physics and Thermophysics, Vol. 85, No. 4, 01.07.2012, p. 828-835.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Mathematical simulation of convective-radiative heat transfer in a ventilated rectangular cavity with consideration of internal mass transfer
AU - Sheremet, M. A.
AU - Shishkin, N. I.
PY - 2012/7/1
Y1 - 2012/7/1
N2 - Mathematical simulation of the nonstationary regimes of heat-and-mass transfer in a ventilated rectangular cavity with heat-conducting walls of finite thickness in the presence of a heat-generating element of constant temperature has been carried out with account for the radiative heat transfer in the Rosseland approximation. As mechanisms of energy transfer in this cavity, the combined convection and the thermal radiation in the gas space of the cavity and the heat conduction in the elements of its fencing solid shell were considered. The mathematical model formulated in the dimensionless stream function-vorticity vector-temperature-concentration variables was realized numerically with the use of the finite-difference method. The streamline, temperature- field, and concentration distributions reflecting the influence of the Rayleigh number (Ra = 104, 105, 106), the nonstationarity (0 < τ ≤ 1000), and the optical thickness of the medium (τλ = 50, 100, 200) on the regimes of the gas flow and the heat-and-mass transfer in the cavity have been obtained.
AB - Mathematical simulation of the nonstationary regimes of heat-and-mass transfer in a ventilated rectangular cavity with heat-conducting walls of finite thickness in the presence of a heat-generating element of constant temperature has been carried out with account for the radiative heat transfer in the Rosseland approximation. As mechanisms of energy transfer in this cavity, the combined convection and the thermal radiation in the gas space of the cavity and the heat conduction in the elements of its fencing solid shell were considered. The mathematical model formulated in the dimensionless stream function-vorticity vector-temperature-concentration variables was realized numerically with the use of the finite-difference method. The streamline, temperature- field, and concentration distributions reflecting the influence of the Rayleigh number (Ra = 104, 105, 106), the nonstationarity (0 < τ ≤ 1000), and the optical thickness of the medium (τλ = 50, 100, 200) on the regimes of the gas flow and the heat-and-mass transfer in the cavity have been obtained.
KW - Combined convection
KW - Heat-and-mass transfer
KW - Numerical analysis
KW - Radiation
KW - Solid walls
UR - http://www.scopus.com/inward/record.url?scp=84870923482&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84870923482&partnerID=8YFLogxK
U2 - 10.1007/s10891-012-0720-z
DO - 10.1007/s10891-012-0720-z
M3 - Article
VL - 85
SP - 828
EP - 835
JO - Journal of Engineering Physics and Thermophysics
JF - Journal of Engineering Physics and Thermophysics
SN - 1062-0125
IS - 4
ER -