Moderate time scale linear stability of moderate Stefan number convection in rotating mushy layers

Journal of Porous Media

Volumn 5, Issue 2, 2002, Pages 113-121

  Govender, Saneshan ^a   Vadasz, Peter ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; NUMERICAL ANALYSIS; PROBLEM SOLVING;

CORIOLIS EFFECT; STEFAN NUMBER; THE LINEAR STABILITY THEORY;

HEAT CONVECTION;

EID: 1242322335     PISSN: 1091028X     EISSN: None     Source Type: Journal    
DOI: 10.1615/jpormedia.v5.i2.40     Document Type: Article

References (9)

1. Amberg, G. and Homsey, G. M., "Nonlinear analysis of buoyant convection in binary solidification to channel formation", J. Fluid Mech., Vol. 252, 79-98, 1993.
2. Anderson, D. M. and Worster, M. G., "Weakly nonlinear analysis of convection in mushy layers during solidification of binary alloys", J. Fluid Mech., Vol. 302, 307-331, 1995.
3. Anderson, D. M. and Worster, M. G., "A new oscillatory instability in a mushy layer during the solidification of binary alloys", J. Fluid Mech., Vol. 307, 245-267, 1996.
4. Chen, F., Lu, J. W., and Yang, T. L., "Convective instability in ammonium chloride solution directionally solidified from below", J. Fluid Mech., Vol. 276, 163-187, 1994.
5. Copley, S. M., Giamei, A. F., Johnson, S. M., and Hornbecker, M. F., "The origin of freckles in unidirectional solidified castings" Metall. Trans. Vol 1, 2193-2205, 1970.
6. Fowler, A. C., The formation of freckles in binary alloys", IMA J. Appl. Mathematics, Vol. 35, 159-174, 1985.
7. Nield, D. A., "Modeling effects of a magnetic field or rotation on flow in a porous medium: momentum equation and anisotropic permeability analogy", Int. J. Heat Mass Transfer, Vol. 42, 3715-3718, 1999.
8. Vadasz, P., "Coriolis effect on gravity driven convection in a rotating porous layer heated from below", J. Fluid. Mech., Vol. 376, 351-375, 1998.
9. Worster, M. G., "Instabilities of the liquid and mushy regions during solidification of alloys", J. Fluid. Mech., Vol. 237, 649-669, 1992.