Conjugate natural convection combined with surface thermal radiation in a three-dimensional enclosure with a heat source

Semen G. Martyushev, Mikhail A. Sheremet

Research output: Contribution to journalArticle

52 Citations (Scopus)

Abstract

Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ É < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.

Original languageEnglish
Pages (from-to)340-353
Number of pages14
JournalInternational Journal of Heat and Mass Transfer
Volume73
DOIs
Publication statusPublished - 1 Jun 2014

Fingerprint

Heat radiation
thermal radiation
enclosure
heat sources
Enclosures
Natural convection
free convection
scale effect
heat
cavities
Rayleigh number
Nusselt number
emissivity
vorticity
numerical analysis
temperature distribution
thermal conductivity
velocity distribution
Vorticity
conduction

Keywords

  • Boussinesq approximation
  • Conjugate natural convection
  • Cubical enclosure
  • Heat source
  • Numerical analysis
  • Surface thermal radiation
  • Three-dimensional regimes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering
  • Fluid Flow and Transfer Processes

Cite this

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abstract = "Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ {\'E} < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.",
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AU - Martyushev, Semen G.

AU - Sheremet, Mikhail A.

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N2 - Numerical analysis of natural convection and surface thermal radiation in a cubical cavity having heat-conducting solid walls of finite thickness with a heat source located at the bottom of the cavity in conditions of convective heat exchange with an environment has been carried out. Mathematical study has been based on a numerical solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature by finite difference method. Main attention was paid to the effects of the Rayleigh number 103 ≤ Ra ≤ 105, an emissivity of internal surfaces of the solid walls 0 ≤ É < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15 and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of key parameters on the average Nusselt numbers have been determined.

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KW - Boussinesq approximation

KW - Conjugate natural convection

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KW - Heat source

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KW - Surface thermal radiation

KW - Three-dimensional regimes

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