On the linear stability of large Stefan number convection in rotating mushy layers for a new Darcy equation formulation

Transport in Porous Media

Volumn 51, Issue 2, 2003, Pages 173-189

  Govender, Saneshan ^a  

^a UNIVERSITY OF KWAZULU NATAL   (South Africa)

Author keywords

Free convection; Mushy layers; Rotating flows; Solidification; Taylor number

Indexed keywords

APPROXIMATION THEORY; EUTECTICS; OSCILLATIONS; POROUS MATERIALS; THERMAL EFFECTS;

LINEAR STABILITY;

HEAT CONVECTION;

BLADE; BOUNDARY CONDITIONS; CONVECTION; CORIOLIS FORCE; DARCY LAW; SOLIDIFICATION; STABILITY;

EID: 0037408573     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021905025952     Document Type: Article

References (13)

1. Amberg, G. and Homsy, G. M.: 1993, Nonlinear analysis of bouyant convection in binary solidification to channel formation, J. Fluid Mech. 252, 79-98.
2. Anderson, D. M. and Worster, M. G.: 1995, Weakly non-linear analysis of convection in mushy layers during the solidification of binary alloys. J. Fluid Mech. 302, 307-331.
3. Anderson, D. M. and Worster, M. G.: 1996, A new oscillatory instability in a mushy layer during the solidification of binary alloys, J. Fluid Mech. 307, 245-267.
4. Chen, F., Lu, J. W. and Yang, T. L.: 1994, Convective instability in ammonium chloride solution directionally solidified from below, J. Fluid Mech. 276, 163-187.
5. Copley, S. M., Giamei, A. F., Johnson, S. M. and Hornbecker, M. F.: 1970, The origin of freckles in unidirectionally solidified castings, Metall. Trans. 1, 2193-2205.
6. Fowler, A. C.: 1985, The formation of freckles in binary alloys, IMA J. Appl. Math. 35, 159-174.
7. Govender, S. and Vadasz, P.: 2001a, Weak non-linear analysis of moderate Stefan number oscillatory convection in rotating mushy layers, Transport in Porous Media (1640) (in press).
8. Govender, S. and Vadasz, P.: 2001b, Weak non-linear analysis of moderate Stefan number stationary convection in rotating mushy layers. Transport in Porous Media (1679) (in press).
9. Guba, P.: 2001, On the finite-amplitude steady convection in rotating mushy layers, J. Fluid Mech. 437, 337-365.
10. Nield, D. A.: 1999, Modelling effects of a magnetic field or rotation on flow in a porous medium: momentum equation and anisotropic permeability analogy, Int. J. Heat Mass Transfer 42, 3715-3718.
11. Vadasz, P.: 1998, Coriolis effect on gravity driven convection in a rotating porous layer heated from below, J. Fluid Mech. 376, 351-375.
12. Worster, M. G.: 1991, Natural convection in a mushy layer, J. Fluid Mech. 224, 335-359.
13. Worster, M. G.: 1992, Instabilities of the liquid and mushy regions during solidification of alloys, J. Fluid Mech. 237, 649-669.