Onset of convection in a porous mush during binary solidification

In Gook Hwang; Chang Kyun Choi

Korean Journal of Chemical Engineering, Vol.25, No.2, 199-202, March, 2008

DOI10.1007/s11814-008-0036-z Export Citation

Onset of convection in a porous mush during binary solidification

In Gook Hwang^†, and Chang Kyun Choi¹

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

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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.

Keywords:Onset of Convection;Solidification;Mush;Propagation Theory

[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)
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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)

[Referenced By]

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[1] Glicksman ME, Coriell SR, McFadden GB, Ann. Rev. Fluid Mech., 18, 307 (1986)

[2] Worster MG, Ann. Rev. Fluid Mech., 29, 91 (1997)

[3] Copley SM, Giamei AF, Johnson SM, Hornbecker MF, Metall. Trans., 4, 2193 (1970)

[4] Fowler AC, IMA J. Appl. Math., 35, 159 (1985)

[5] Chen CF, Chen F, J. Fluid Mech., 227, 567 (1991)

[6] Tait S, Jaupart C, J. Geophys. Res., 97, 6735 (1992)

[7] Worster MG, J. Fluid Mech., 237, 649 (1992)

[8] Amberg G, Homsy GM, J. Fluid Mech., 252, 79 (1993)

[9] Emms PW, Fowler AC, J. Fluid Mech., 262, 111 (1994)

[10] Chen F, Lu JW, Yang TL, J. Fluid Mech., 276, 163 (1994)

[11] Chen F, Chung CA, Lai MH, Phys. Fluids, 14, 1295 (2002)

[12] Butler SL, Huppert HE, Worster MG, J. Fluid Mech., 549, 99 (2006)

[13] Riahi DN, J. Fluid Mech., 553, 389 (2006)

[14] Hwang IG, Choi CK, J. Cryst. Growth, 220(3), 326 (2000)

[15] Hwang IG, Choi CK, J. Cryst. Growth, 267(3-4), 714 (2004)

[16] Kim MC, Yoon DY, Choi CK, Korean J. Chem. Eng., 13(2), 165 (1996)

[17] Choi CK, Kang KH, Kim MC, Hwang IG, Korean J. Chem. Eng., 15(2), 192 (1998)

[18] Yoon DY, Kim MC, Choi CK, Korean J. Chem. Eng., 20(1), 27 (2003)

[19] Kim MC, Chung TJ, Choi CK, Korean J. Chem. Eng., 21(1), 69 (2004)

[20] Chung TJ, Kim MC, Choi CK, Korean J. Chem. Eng., 21(1), 41 (2004)