Thermal instability during the melting process in an isothermally heated horizontal cylinder

- Journal title : Transactions of the Korean Society of Mechanical Engineers B
- Volume 20, Issue 6, 1996, pp.2046-2056
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-B.1996.20.6.2046

Title & Authors

Thermal instability during the melting process in an isothermally heated horizontal cylinder

Jeong, Jae-Dong; Yu, Ho-Seon; Lee, Jun-Sik;

Jeong, Jae-Dong; Yu, Ho-Seon; Lee, Jun-Sik;

Abstract

The constrained melting inside an isothermally heated horizontal cylinder has been repeatedly investigated in many studies only for the moderate Rayleigh numbers. This study extends the range of Rayleigh numbers to systematically investigate the transition during melting processes, especially focusing on the complex multi-cellular flow pattern and thermal instability. The enthalpy-porosity formulation, with appropriate source terms to account for the phase change, is employed. For low Rayleigh numbers, initially developed single-cell base flow keeps the flow stable. For moderate Rayleigh numbers, even small disturbances in balance between thermal buoyance force and viscous force result in branched flow structure. For high Rayleight numbers, Benard type convection is found to develop within a narrow gap between thee wall and the unmelted solid. The marginal Rayleigh number and the corresponding wave number are in excellent agreement with those from linear stability theory.

Keywords

Melting;Thermal Instability;Multi-Cellular Flow;Enthalpy Method;

Language

Korean

Cited by

References

1.

J. Heat Transfer, 1982.
vol.104.
pp.545-553

2.

대한기계학회논문집, 1993.
vol.17. 8,
pp.2079-2087

3.

J. Heat Transfer, 1983.
vol.105.
pp.226-234

4.

Int. J. Heat Mass Transfer, 1984.
vol.27.
pp.705-716

5.

대한기계학회논문집, 1986.
vol.10. 4,
pp.585-592

6.

Int. J. Heat Mass Transfer, 1994.
vol.37.
pp.1101-1109

7.

J. Heat Transfer, 1990.
vol.112.
pp.379-387

8.

Numerical Heat Transfer, 1990.
vol.17B.
pp.25-41

9.

Numerical Heat Transfer, 1993.
vol.24B.
pp.77-105

10.

Numerical heat transfer and fluid flow, 1980.

11.

Numerical Heat Transfer, 1991.
vol.19B.
pp.175-189

12.

J. Heat transfer, 1986.
vol.108.
pp.174-181

13.

Transport Phenomena in Heat and Mass Transfer (edited by J. A. Reizes), 1992.
pp.704-714

14.

J. Heat transfer, 1992.
vol.114.
pp.99-106

15.

Proc. 10th Int. Heat Transfer Conf., 1994.
pp.85-90

16.

Hydrodynamic and hydro-magnetic stability, 1961.