Mathematical simulation of unsteady natural convection inside a sphere

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5 Citations (Scopus)


Mathematical simulation of transient natural convection heat transfer regimes inside a sphere has been carried out. Numerical analysis has been based on the solution of the three-dimensional Boussinesq equations in the dimensionless variables such as vector potential functions, vorticity vector and temperature. Particular efforts have been focused on the effects of two types of influential factors, such as the Rayleigh number, Ra = 104, 5 × 104, and 105, and the dimensionless time, 0 ≤ τ ≤ 30, on the vector potential functions and temperature fields. Comparison of the results of the created three-dimensional model and axisymmetric model of heat transfer inside a sphere has been carried out.

Original languageEnglish
Pages (from-to)277-287
Number of pages11
JournalComputational Thermal Sciences
Issue number4
Publication statusPublished - 2011


  • Boussinesq approximation
  • Natural convection
  • Numerical simulation
  • Spherical enclosure
  • Three-dimensional regimes
  • Vector potential functions

ASJC Scopus subject areas

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

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