Abstract
Mathematical simulation of unsteady natural convection in an inclined cylinder with heat-conducting walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. Numerical analysis has been based on solution of the convection equations in the dimensionless variables vector potential components, modified vorticity functions, temperature. Particular efforts have been focused on the effects of four types of influential factors such as the Rayleigh number Ra = 10 4, 5 · 10 4, 10 5, the Prandtl number Pr = 0.7, 7.0, the thermal conductivity ratio k2,1=5.7·10-4,4.3·10-2 and the inclination angle γ = 0, π/6, π/3, π/2 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt number have been determined.
| Original language | English |
|---|---|
| Pages (from-to) | 3582-3600 |
| Number of pages | 19 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 55 |
| Issue number | 13-14 |
| DOIs | |
| Publication status | Published - 1 Jun 2012 |
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Keywords
- Boussinesq approximation
- Conjugate heat transfer
- Inclined cylinder
- Natural convection
- Three-dimensional regimes
- Vector potential
ASJC Scopus subject areas
- Mechanical Engineering
- Condensed Matter Physics
- Fluid Flow and Transfer Processes
Cite this
Laminar natural convection in an inclined cylindrical enclosure having finite thickness walls. / Sheremet, Mikhail A.
In: International Journal of Heat and Mass Transfer, Vol. 55, No. 13-14, 01.06.2012, p. 3582-3600.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Laminar natural convection in an inclined cylindrical enclosure having finite thickness walls
AU - Sheremet, Mikhail A.
PY - 2012/6/1
Y1 - 2012/6/1
N2 - Mathematical simulation of unsteady natural convection in an inclined cylinder with heat-conducting walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. Numerical analysis has been based on solution of the convection equations in the dimensionless variables vector potential components, modified vorticity functions, temperature. Particular efforts have been focused on the effects of four types of influential factors such as the Rayleigh number Ra = 10 4, 5 · 10 4, 10 5, the Prandtl number Pr = 0.7, 7.0, the thermal conductivity ratio k2,1=5.7·10-4,4.3·10-2 and the inclination angle γ = 0, π/6, π/3, π/2 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt number have been determined.
AB - Mathematical simulation of unsteady natural convection in an inclined cylinder with heat-conducting walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. Numerical analysis has been based on solution of the convection equations in the dimensionless variables vector potential components, modified vorticity functions, temperature. Particular efforts have been focused on the effects of four types of influential factors such as the Rayleigh number Ra = 10 4, 5 · 10 4, 10 5, the Prandtl number Pr = 0.7, 7.0, the thermal conductivity ratio k2,1=5.7·10-4,4.3·10-2 and the inclination angle γ = 0, π/6, π/3, π/2 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt number have been determined.
KW - Boussinesq approximation
KW - Conjugate heat transfer
KW - Inclined cylinder
KW - Natural convection
KW - Three-dimensional regimes
KW - Vector potential
UR - http://www.scopus.com/inward/record.url?scp=84859628367&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84859628367&partnerID=8YFLogxK
U2 - 10.1016/j.ijheatmasstransfer.2012.02.046
DO - 10.1016/j.ijheatmasstransfer.2012.02.046
M3 - Article
VL - 55
SP - 3582
EP - 3600
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
SN - 0017-9310
IS - 13-14
ER -