RT Journal Article ID 364e9b4d51c00322 A1 Sheremet, Mikhail A. T1 MATHEMATICAL SIMULATION OF UNSTEADY NATURAL CONVECTION INSIDE A SPHERE JF Computational Thermal Sciences: An International Journal JO CTS YR 2011 FD 2011-09-07 VO 3 IS 4 SP 277 OP 287 K1 numerical simulation K1 natural convection K1 spherical enclosure K1 vector potential functions K1 three-dimensional regimes K1 Boussinesq approximation AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/648192910890cd0e,35ab78122798255b,364e9b4d51c00322.html