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

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

Keywords

Boussinesq approximation
heat conduction
laminar regime
melting
natural convection
numerical simulation

ASJC Scopus subject areas

Radiation
Nuclear and High Energy Physics

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title = "Mathematical simulation of melting inside a square cavity with a local heat source",

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.",

keywords = "Boussinesq approximation, heat conduction, laminar regime, melting, natural convection, numerical simulation",

author = "Bondareva, {N. S.} and Sheremet, {M. A.}",

year = "2016",

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doi = "10.1134/S0869864316040089",

language = "English",

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T1 - Mathematical simulation of melting inside a square cavity with a local heat source

AU - Bondareva, N. S.

AU - Sheremet, M. A.

PY - 2016/7/1

Y1 - 2016/7/1

N2 - 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.

AB - 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.

KW - Boussinesq approximation

KW - heat conduction

KW - laminar regime

KW - melting

KW - natural convection

KW - numerical simulation

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