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ISSN Print: 1940-2503
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MATHEMATICAL SIMULATION OF UNSTEADY NATURAL CONVECTION INSIDE A SPHERE
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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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Bondareva N. S., Volokitin O. G., Morozova O. O., Sheremet M. A., Unsteady regimes of hydrodynamics and heat transfer at production of high-temperature silicate melts, Thermophysics and Aeromechanics, 20, 5, 2013. Crossref
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Baïri Abderrahmane, Alilat Nacim, Martín-Garín Alexander, Adeyeye Kemi, Millán-García José-Antonio, Roseiro Luis, Free Convective Heat Transfer in a Closed Gap between Concentric Semi-Hemispheres, Energies, 14, 22, 2021. Crossref
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Alsabery A.I., Sheremet M.A., Chamkha A.J., Hashim I., Energy transport of two-phase nanofluid approach inside a three-dimensional lid-driven cubic cavity containing solid cylinder and heat source, Chemical Engineering and Processing - Process Intensification, 154, 2020. Crossref