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Onset of convection in a porous mush during binary solidification

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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.

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References

  1. M. E. Glicksman, S. R. Coriell and G. B. McFadden, Ann. Rev. Fluid Mech., 18, 307 (1986).

    Article  Google Scholar 

  2. M. G. Worster, Ann. Rev. Fluid Mech., 29, 91 (1997).

    Article  Google Scholar 

  3. S. M. Copley, A. F. Giamei, S. M. Johnson and M. F. Hornbecker, Metall. Trans., 4, 2193 (1970).

    Article  Google Scholar 

  4. A. C. Fowler, IMA J. Appl. Math., 35, 159 (1985).

    Article  Google Scholar 

  5. C. F. Chen and F. Chen, J. Fluid Mech., 227, 567 (1991).

    Article  CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

  7. M. G. Worster, J. Fluid Mech., 237, 649 (1992).

    Article  CAS  Google Scholar 

  8. G. Amberg and G. M. Homsy, J. Fluid Mech., 252, 79 (1993).

    Article  CAS  Google Scholar 

  9. P.W. Emms and A. C. Fowler, J. Fluid Mech., 262, 111 (1994).

    Article  CAS  Google Scholar 

  10. F. Chen, J.W. Lu and T. L. Yang, J. Fluid Mech., 276, 163 (1994).

    Article  CAS  Google Scholar 

  11. F. Chen, C. A. Chung and M. H. Lai, Phys. Fluids, 14, 1295 (2002).

    Article  CAS  Google Scholar 

  12. S. L. Butler, H. E. Huppert and M.G. Worster, J. Fluid Mech., 549, 99 (2006).

    Article  CAS  Google Scholar 

  13. D. N. Riahi, J. Fluid Mech., 553, 389 (2006).

    Article  Google Scholar 

  14. I. G. Hwang and C. K. Choi, J. Cryst. Growth, 220, 326 (2000).

    Article  CAS  Google Scholar 

  15. I. G. Hwang and C. K. Choi, J. Cryst. Growth, 267, 714 (2004).

    Article  CAS  Google Scholar 

  16. M. C. Kim, D.Y. Yoon and C. K. Choi, Korean J. Chem. Eng., 13, 165 (1996).

    Article  CAS  Google Scholar 

  17. C. K. Choi, K. H. Kang, M. C. Kim and I. G. Hwang, Korean J. Chem. Eng., 15, 192 (1998).

    Article  CAS  Google Scholar 

  18. D.Y. Yoon, M. C. Kim and C. K. Choi, Korean J. Chem. Eng., 20, 27 (2003).

    Article  CAS  Google Scholar 

  19. M. C. Kim, T. J. Chung and C. K. Choi, Korean J. Chem. Eng., 21, 69 (2004).

    Article  CAS  Google Scholar 

  20. T. J. Chung, M. C. Kim and C. K. Choi, Korean J. Chem. Eng., 21,41 (2004).

    Article  CAS  Google Scholar 

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Correspondence to In Gook Hwang.

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Hwang, I.G., Choi, C.K. Onset of convection in a porous mush during binary solidification. Korean J. Chem. Eng. 25, 199–202 (2008). https://doi.org/10.1007/s11814-008-0036-z

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  • DOI: https://doi.org/10.1007/s11814-008-0036-z

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