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Computational Thermal Sciences: An International Journal
ESCI SJR: 0.249 SNIP: 0.434 CiteScore™: 1.4

ISSN Print: 1940-2503
ISSN Online: 1940-2554

Computational Thermal Sciences: An International Journal

DOI: 10.1615/ComputThermalScien.2011002942
pages 277-287

MATHEMATICAL SIMULATION OF UNSTEADY NATURAL CONVECTION INSIDE A SPHERE

Mikhail A. Sheremet
Department of Theoretical Mechanics, Tomsk State University, 634050, Tomsk, Russia; Institute of Power Engineering, Tomsk Polytechnic University, 634050, Tomsk, Russia

ABSTRACT

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.


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