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

Semen G. Martyushev, Mikhail A. Sheremet

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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
Issue number1
Publication statusPublished - 2013



  • 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

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