Unsteady conjugate thermogravitational convection in a cylindrical region with local energy source

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Abstract

The mathematical modelling of unsteady regimes of natural convection in a closed cylindrical region with a heat-conducting shell of finite thickness was carried out in the presence of a local heat source under the conditions of convective heat exchange with the ambient medium. The mathematical model was constructed in dimensionless variables "stream function - vorticity vector - temperature" in the cylindrical coordinate system. The influence of the Rayleigh number, 10 4 ≤ Ra ≤ 10 6, of the unsteadiness factor 0 < τ < 300, of the thermal conductivity ratio λ 2,1 = 5.7·10 -4, 4.3·10 -2, and the energy source sizes on both local characteristics (streamlines and temperature fields) and on the integral complex (the mean Nusselt number on typical boundaries) was analysed in detail. Thermohydrodynamic peculiarities due to the geometry of the object of research were established.

Original languageEnglish
Pages (from-to)447-458
Number of pages12
JournalThermophysics and Aeromechanics
Volume18
Issue number3
DOIs
Publication statusPublished - 1 Sep 2011

Keywords

  • conjugate heat transfer
  • cylindrical region
  • natural convection
  • numerical modelling
  • unsteady regime

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Radiation

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