Laminar natural convection in an inclined cylindrical enclosure having finite thickness walls

Research output: Contribution to journalArticle

36 Citations (Scopus)

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 languageEnglish
Pages (from-to)3582-3600
Number of pages19
JournalInternational Journal of Heat and Mass Transfer
Volume55
Issue number13-14
DOIs
Publication statusPublished - 1 Jun 2012

Fingerprint

enclosure
Enclosures
Natural convection
free convection
scale effect
heat
Rayleigh number
Prandtl number
Nusselt number
heat sources
vorticity
inclination
numerical analysis
temperature distribution
convection
thermal conductivity
velocity distribution
Vorticity
conduction
Numerical analysis

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

@article{b772e25d3b30493587e6fd06876b1e7b,
title = "Laminar natural convection in an inclined cylindrical enclosure having finite thickness walls",
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.",
keywords = "Boussinesq approximation, Conjugate heat transfer, Inclined cylinder, Natural convection, Three-dimensional regimes, Vector potential",
author = "Sheremet, {Mikhail A.}",
year = "2012",
month = "6",
day = "1",
doi = "10.1016/j.ijheatmasstransfer.2012.02.046",
language = "English",
volume = "55",
pages = "3582--3600",
journal = "International Journal of Heat and Mass Transfer",
issn = "0017-9310",
publisher = "Elsevier Limited",
number = "13-14",

}

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 -