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

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Thermophysics and Aeromechanics Springer Journals

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

, Volume 23 (4): 13 – Jul 1, 2016
13 pages

/lp/springer-journals/mathematical-simulation-of-melting-inside-a-square-cavity-with-a-local-p1Zvv9goFV
Publisher
Springer Journals
2016 Pleiades Publishing, Ltd.
ISSN
0869-8643
eISSN
1531-8699
DOI
10.1134/S0869864316040089
Publisher site
See Article on Publisher Site

### Abstract

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.

### Journal

Thermophysics and AeromechanicsSpringer Journals

Published: Jul 1, 2016

### References

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