Mathematical simulation of melting inside a square cavity with a local heat source

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Abstract

Numerical simulation of transient melting regimes inside an enclosure in the presence of a local heat source has been carried out. Mathematical model formulated in terms of dimensionless variables such as stream function, vorticity, and temperature has been numerically solved by finite difference method. Effects of the Rayleigh number 4·10⁵ ≤ Ra ≤ 5·10⁷, Stefan number 2.21 ≤ Ste ≤ 5.53, and dimensionless time on velocity and temperature fields as well as on the local Nusselt number along the heat source surface have been analyzed in detail. The transient effects of the considered process at high values of the Rayleigh number have been identified.

Original language	English
Pages (from-to)	553-565
Number of pages	13
Journal	Thermophysics and Aeromechanics
Volume	23
Issue number	4
DOIs	https://doi.org/10.1134/S0869864316040089
Publication status	Published - 1 Jul 2016

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Keywords

Boussinesq approximation
heat conduction
laminar regime
melting
natural convection
numerical simulation

ASJC Scopus subject areas

Radiation
Nuclear and High Energy Physics

Cite this

Bondareva, N. S., & Sheremet, M. A. (2016). Mathematical simulation of melting inside a square cavity with a local heat source. Thermophysics and Aeromechanics, 23(4), 553-565. https://doi.org/10.1134/S0869864316040089

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Access to Document

10.1134/S0869864316040089