Numerical analysis of conjugate natural convection and surface radiation in an enclosure with local heat source

Semen G. Martyushev, Mikhail A. Sheremet

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Mathematical simulation of natural convection and surface radiation in a square cavity having heat-conducting walls of finite thickness with a heat source located at the bottom of the cavity in convective heat exchange with an environment has been carried out. Numerical analysis has been based on a solution of the two-dimensional Boussinesq equations in the dimensionless variables such as stream function, vorticity, and temperature. Main attention was paid to the effects of Rayleigh number 104 ≤ Ra ≤ 106, an emissivity of internal surfaces of walls 0 ≤ ε < 1, a thermal conductivity ratio 1 ≤ k1,2 ≤ 15, a thickness of walls 0.1 ≤ l/L ≤ 0.3, and a dimensionless time 0 ≤ τ ≤ 100 on the velocity and temperature fields. The effect scales of the key parameters on the average Nusselt numbers have been determined.

Original languageEnglish
Pages (from-to)11-25
Number of pages15
JournalComputational Thermal Sciences
Volume5
Issue number1
DOIs
Publication statusPublished - 2013

Fingerprint

Natural Convection
Enclosure
Heat Source
enclosure
heat sources
Enclosures
Natural convection
Dimensionless
free convection
numerical analysis
Numerical analysis
Numerical Analysis
Cavity
Heat
Radiation
Scale Effect
Emissivity
Boussinesq Equations
Stream Function
Nusselt number

Keywords

  • Boussinesq approximation
  • Conjugate natural convection
  • Local heat source
  • Numerical analysis
  • Square enclosure
  • Surface radiation
  • Two-dimensional regimes

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Computational Mathematics
  • Fluid Flow and Transfer Processes
  • Surfaces and Interfaces

Cite this

Numerical analysis of conjugate natural convection and surface radiation in an enclosure with local heat source. / Martyushev, Semen G.; Sheremet, Mikhail A.

In: Computational Thermal Sciences, Vol. 5, No. 1, 2013, p. 11-25.

Research output: Contribution to journalArticle

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