Articles & Issues
- Language
- English
- Conflict of Interest
- In relation to this article, we declare that there is no conflict of interest.
- Publication history
-
Received March 22, 2007
Accepted June 26, 2007
-
This is an Open-Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/bync/3.0) which permits
unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright © KIChE. All rights reserved.
All issues
Onset of convection in a porous mush during binary solidification
Department of Chemical and Biochemical Engineering, The University of Suwon, Gyeonggi-do 445-743, Korea 1School of Chemical and Biological Engineering, Seoul National University, Seoul 151-742, Korea
ighwang@suwon.ac.kr
Korean Journal of Chemical Engineering, March 2008, 25(2), 199-202(4), 10.1007/s11814-008-0036-z
Download PDF
Abstract
The onset of convection in a mushy layer during solidification of a binary melt is investigated by using the propagation theory we have developed. The critical conditions for the mushy-layer-mode of instability are obtained numerically for aqueous ammonium chloride solution. The mush thickness at the onset of convection is predicted as a function of the solution viscosity and compared with the experimental data. The onset time of the mushy-layer-mode convection has a minimum point with varying the superheat. When the superheat is large, the mushy layer grows slowly and a long time is required for the onset of convection.
References
Glicksman ME, Coriell SR, McFadden GB, Ann. Rev. Fluid Mech., 18, 307 (1986)
Worster MG, Ann. Rev. Fluid Mech., 29, 91 (1997)
Copley SM, Giamei AF, Johnson SM, Hornbecker MF, Metall. Trans., 4, 2193 (1970)
Fowler AC, IMA J. Appl. Math., 35, 159 (1985)
Chen CF, Chen F, J. Fluid Mech., 227, 567 (1991)
Tait S, Jaupart C, J. Geophys. Res., 97, 6735 (1992)
Worster MG, J. Fluid Mech., 237, 649 (1992)
Amberg G, Homsy GM, J. Fluid Mech., 252, 79 (1993)
Emms PW, Fowler AC, J. Fluid Mech., 262, 111 (1994)
Chen F, Lu JW, Yang TL, J. Fluid Mech., 276, 163 (1994)
Chen F, Chung CA, Lai MH, Phys. Fluids, 14, 1295 (2002)
Butler SL, Huppert HE, Worster MG, J. Fluid Mech., 549, 99 (2006)
Riahi DN, J. Fluid Mech., 553, 389 (2006)
Hwang IG, Choi CK, J. Cryst. Growth, 220(3), 326 (2000)
Hwang IG, Choi CK, J. Cryst. Growth, 267(3-4), 714 (2004)
Kim MC, Yoon DY, Choi CK, Korean J. Chem. Eng., 13(2), 165 (1996)
Choi CK, Kang KH, Kim MC, Hwang IG, Korean J. Chem. Eng., 15(2), 192 (1998)
Yoon DY, Kim MC, Choi CK, Korean J. Chem. Eng., 20(1), 27 (2003)
Kim MC, Chung TJ, Choi CK, Korean J. Chem. Eng., 21(1), 69 (2004)
Chung TJ, Kim MC, Choi CK, Korean J. Chem. Eng., 21(1), 41 (2004)
Worster MG, Ann. Rev. Fluid Mech., 29, 91 (1997)
Copley SM, Giamei AF, Johnson SM, Hornbecker MF, Metall. Trans., 4, 2193 (1970)
Fowler AC, IMA J. Appl. Math., 35, 159 (1985)
Chen CF, Chen F, J. Fluid Mech., 227, 567 (1991)
Tait S, Jaupart C, J. Geophys. Res., 97, 6735 (1992)
Worster MG, J. Fluid Mech., 237, 649 (1992)
Amberg G, Homsy GM, J. Fluid Mech., 252, 79 (1993)
Emms PW, Fowler AC, J. Fluid Mech., 262, 111 (1994)
Chen F, Lu JW, Yang TL, J. Fluid Mech., 276, 163 (1994)
Chen F, Chung CA, Lai MH, Phys. Fluids, 14, 1295 (2002)
Butler SL, Huppert HE, Worster MG, J. Fluid Mech., 549, 99 (2006)
Riahi DN, J. Fluid Mech., 553, 389 (2006)
Hwang IG, Choi CK, J. Cryst. Growth, 220(3), 326 (2000)
Hwang IG, Choi CK, J. Cryst. Growth, 267(3-4), 714 (2004)
Kim MC, Yoon DY, Choi CK, Korean J. Chem. Eng., 13(2), 165 (1996)
Choi CK, Kang KH, Kim MC, Hwang IG, Korean J. Chem. Eng., 15(2), 192 (1998)
Yoon DY, Kim MC, Choi CK, Korean J. Chem. Eng., 20(1), 27 (2003)
Kim MC, Chung TJ, Choi CK, Korean J. Chem. Eng., 21(1), 69 (2004)
Chung TJ, Kim MC, Choi CK, Korean J. Chem. Eng., 21(1), 41 (2004)
