Conjugate natural convection combined with surface thermal radiation in an air filled cavity with internal heat source

Semen G. Martyushev, Mikhail A. Sheremet

Research output: Contribution to journalArticle

57 Citations (Scopus)

Abstract

A two-dimensional numerical analysis of combined heat transfer (transient natural convection, surface thermal radiation and conduction) in an air filled square enclosure having heat-conducting solid walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. The governing equations formulated in terms of the dimensionless stream function, vorticity and temperature have been numerically solved using the finite difference method. Particular efforts have been focused on the effects of five types of influential factors such as the Rayleigh number 104 ≤ Ra ≤ 106, the internal surface emissivity 0 ≤ ε < 1, the thermal conductivity ratio 1 ≤ k1,2 ≤ 1000, the ratio of solid wall thickness to cavity spacing 0.1 ≤ l/L ≤ 0.3 and the dimensionless time 0 ≤ τ ≤ 100 on the fluid flow and heat transfer. Comprehensive Nusselt numbers data are presented as functions of the governing parameters mentioned above.

Original languageEnglish
Pages (from-to)51-67
Number of pages17
JournalInternational Journal of Thermal Sciences
Volume76
DOIs
Publication statusPublished - 1 Jan 2014

Fingerprint

Heat radiation
thermal radiation
heat sources
Natural convection
free convection
heat transfer
conduction
heat
cavities
air
Rayleigh number
Nusselt number
enclosure
Air
emissivity
vorticity
Heat transfer
fluid flow
numerical analysis
thermal conductivity

Keywords

  • Conjugate natural convection
  • Local heat source
  • Stream function-vorticity formulation
  • Surface radiation
  • Two-dimensional enclosure

ASJC Scopus subject areas

  • Engineering(all)
  • Condensed Matter Physics

Cite this

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abstract = "A two-dimensional numerical analysis of combined heat transfer (transient natural convection, surface thermal radiation and conduction) in an air filled square enclosure having heat-conducting solid walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. The governing equations formulated in terms of the dimensionless stream function, vorticity and temperature have been numerically solved using the finite difference method. Particular efforts have been focused on the effects of five types of influential factors such as the Rayleigh number 104 ≤ Ra ≤ 106, the internal surface emissivity 0 ≤ ε < 1, the thermal conductivity ratio 1 ≤ k1,2 ≤ 1000, the ratio of solid wall thickness to cavity spacing 0.1 ≤ l/L ≤ 0.3 and the dimensionless time 0 ≤ τ ≤ 100 on the fluid flow and heat transfer. Comprehensive Nusselt numbers data are presented as functions of the governing parameters mentioned above.",
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AU - Martyushev, Semen G.

AU - Sheremet, Mikhail A.

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N2 - A two-dimensional numerical analysis of combined heat transfer (transient natural convection, surface thermal radiation and conduction) in an air filled square enclosure having heat-conducting solid walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. The governing equations formulated in terms of the dimensionless stream function, vorticity and temperature have been numerically solved using the finite difference method. Particular efforts have been focused on the effects of five types of influential factors such as the Rayleigh number 104 ≤ Ra ≤ 106, the internal surface emissivity 0 ≤ ε < 1, the thermal conductivity ratio 1 ≤ k1,2 ≤ 1000, the ratio of solid wall thickness to cavity spacing 0.1 ≤ l/L ≤ 0.3 and the dimensionless time 0 ≤ τ ≤ 100 on the fluid flow and heat transfer. Comprehensive Nusselt numbers data are presented as functions of the governing parameters mentioned above.

AB - A two-dimensional numerical analysis of combined heat transfer (transient natural convection, surface thermal radiation and conduction) in an air filled square enclosure having heat-conducting solid walls of finite thickness and a local heat source in conditions of convective heat exchange with an environment has been carried out. The governing equations formulated in terms of the dimensionless stream function, vorticity and temperature have been numerically solved using the finite difference method. Particular efforts have been focused on the effects of five types of influential factors such as the Rayleigh number 104 ≤ Ra ≤ 106, the internal surface emissivity 0 ≤ ε < 1, the thermal conductivity ratio 1 ≤ k1,2 ≤ 1000, the ratio of solid wall thickness to cavity spacing 0.1 ≤ l/L ≤ 0.3 and the dimensionless time 0 ≤ τ ≤ 100 on the fluid flow and heat transfer. Comprehensive Nusselt numbers data are presented as functions of the governing parameters mentioned above.

KW - Conjugate natural convection

KW - Local heat source

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KW - Surface radiation

KW - Two-dimensional enclosure

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