Abstract
Numerical simulation of transient melting regimes inside an enclosure in the presence of a local heat source has been carried out. Mathematical model formulated in terms of dimensionless variables such as stream function, vorticity, and temperature has been numerically solved by finite difference method. Effects of the Rayleigh number 4·105 ≤ Ra ≤ 5·107, Stefan number 2.21 ≤ Ste ≤ 5.53, and dimensionless time on velocity and temperature fields as well as on the local Nusselt number along the heat source surface have been analyzed in detail. The transient effects of the considered process at high values of the Rayleigh number have been identified.
| Original language | English |
|---|---|
| Pages (from-to) | 553-565 |
| Number of pages | 13 |
| Journal | Thermophysics and Aeromechanics |
| Volume | 23 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jul 2016 |
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Keywords
- Boussinesq approximation
- heat conduction
- laminar regime
- melting
- natural convection
- numerical simulation
ASJC Scopus subject areas
- Radiation
- Nuclear and High Energy Physics
Cite this
Mathematical simulation of melting inside a square cavity with a local heat source. / Bondareva, N. S.; Sheremet, M. A.
In: Thermophysics and Aeromechanics, Vol. 23, No. 4, 01.07.2016, p. 553-565.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Mathematical simulation of melting inside a square cavity with a local heat source
AU - Bondareva, N. S.
AU - Sheremet, M. A.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Numerical simulation of transient melting regimes inside an enclosure in the presence of a local heat source has been carried out. Mathematical model formulated in terms of dimensionless variables such as stream function, vorticity, and temperature has been numerically solved by finite difference method. Effects of the Rayleigh number 4·105 ≤ Ra ≤ 5·107, Stefan number 2.21 ≤ Ste ≤ 5.53, and dimensionless time on velocity and temperature fields as well as on the local Nusselt number along the heat source surface have been analyzed in detail. The transient effects of the considered process at high values of the Rayleigh number have been identified.
AB - Numerical simulation of transient melting regimes inside an enclosure in the presence of a local heat source has been carried out. Mathematical model formulated in terms of dimensionless variables such as stream function, vorticity, and temperature has been numerically solved by finite difference method. Effects of the Rayleigh number 4·105 ≤ Ra ≤ 5·107, Stefan number 2.21 ≤ Ste ≤ 5.53, and dimensionless time on velocity and temperature fields as well as on the local Nusselt number along the heat source surface have been analyzed in detail. The transient effects of the considered process at high values of the Rayleigh number have been identified.
KW - Boussinesq approximation
KW - heat conduction
KW - laminar regime
KW - melting
KW - natural convection
KW - numerical simulation
UR - http://www.scopus.com/inward/record.url?scp=84992411346&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84992411346&partnerID=8YFLogxK
U2 - 10.1134/S0869864316040089
DO - 10.1134/S0869864316040089
M3 - Article
AN - SCOPUS:84992411346
VL - 23
SP - 553
EP - 565
JO - Thermophysics and Aeromechanics
JF - Thermophysics and Aeromechanics
SN - 0869-8643
IS - 4
ER -