Abstract
Three-dimensional natural convection melting in a cubical cavity with a local heater has been analyzed numerically. The considered region is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of high constant temperature is located on the bottom wall. The governing equations formulated in dimensionless vector potential functions, vorticity vector and temperature with corresponding initial and boundary conditions have been solved using implicit finite difference method of the second-order accuracy. The effects of the Rayleigh number (5⋅104 ≤ Ra ≤ 5⋅107) and dimensionless time for Prandtl number (Pr = 48.36) and Stefan number (Ste = 5.53) on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed.
| Original language | English |
|---|---|
| Pages (from-to) | 43-53 |
| Number of pages | 11 |
| Journal | International Journal of Thermal Sciences |
| Volume | 115 |
| DOIs | |
| Publication status | Published - 1 May 2017 |
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Keywords
- Cubical cavity
- Heat source
- Melting
- Natural convection
- Numerical results
- Vector potential functions
ASJC Scopus subject areas
- Condensed Matter Physics
- Engineering(all)
Cite this
3D natural convection melting in a cubical cavity with a heat source. / Bondareva, Nadezhda S.; Sheremet, Mikhail A.
In: International Journal of Thermal Sciences, Vol. 115, 01.05.2017, p. 43-53.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - 3D natural convection melting in a cubical cavity with a heat source
AU - Bondareva, Nadezhda S.
AU - Sheremet, Mikhail A.
PY - 2017/5/1
Y1 - 2017/5/1
N2 - Three-dimensional natural convection melting in a cubical cavity with a local heater has been analyzed numerically. The considered region is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of high constant temperature is located on the bottom wall. The governing equations formulated in dimensionless vector potential functions, vorticity vector and temperature with corresponding initial and boundary conditions have been solved using implicit finite difference method of the second-order accuracy. The effects of the Rayleigh number (5⋅104 ≤ Ra ≤ 5⋅107) and dimensionless time for Prandtl number (Pr = 48.36) and Stefan number (Ste = 5.53) on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed.
AB - Three-dimensional natural convection melting in a cubical cavity with a local heater has been analyzed numerically. The considered region is an enclosure bounded by two isothermal opposite vertical surfaces of low constant temperature and adiabatic other walls. A heat source of high constant temperature is located on the bottom wall. The governing equations formulated in dimensionless vector potential functions, vorticity vector and temperature with corresponding initial and boundary conditions have been solved using implicit finite difference method of the second-order accuracy. The effects of the Rayleigh number (5⋅104 ≤ Ra ≤ 5⋅107) and dimensionless time for Prandtl number (Pr = 48.36) and Stefan number (Ste = 5.53) on streamlines, isotherms, profiles of temperature and velocity as well as mean Nusselt number at the heat source surface have been analyzed.
KW - Cubical cavity
KW - Heat source
KW - Melting
KW - Natural convection
KW - Numerical results
KW - Vector potential functions
UR - http://www.scopus.com/inward/record.url?scp=85010375458&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85010375458&partnerID=8YFLogxK
U2 - 10.1016/j.ijthermalsci.2017.01.021
DO - 10.1016/j.ijthermalsci.2017.01.021
M3 - Article
VL - 115
SP - 43
EP - 53
JO - International Journal of Thermal Sciences
JF - International Journal of Thermal Sciences
SN - 1290-0729
ER -