Mathematical simulation of unsteady natural convection inside a sphere

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)277-287
Number of pages11
JournalComputational Thermal Sciences
Volume3
Issue number4
DOIs
Publication statusPublished - 2011

Fingerprint

Vector Potential
Natural Convection
Potential Function
Natural convection
Dimensionless
free convection
Heat Transfer
Three-dimensional
Potential Field
Boussinesq Equations
Rayleigh number
Function Fields
heat transfer
Temperature Field
Vorticity
Heat transfer
Numerical Analysis
Simulation
simulation
three dimensional models

Keywords

  • 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

Cite this

Mathematical simulation of unsteady natural convection inside a sphere. / Sheremet, Mikhail A.

In: Computational Thermal Sciences, Vol. 3, No. 4, 2011, p. 277-287.

Research output: Contribution to journalArticle

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