• Yang, Young-Kyun (School of The Liberal Arts, Seoul National University of Technology) ;
  • Lee, Joung-Nam (School of The Liberal Arts, Seoul National University of Technology)
  • Published : 2004.05.01


We have obtained a simplified model for the mush under the assumption of the temperature, the solid fraction and the vertical component of the velocity, depend on upward coordinate z only. We have found solutions in the asymptotical limit and solved numerically for the model.


  1. Principles of solidification B.Chalmers
  2. J. Fluid Mech. v.227 Experimental study of directional solidification of aqueous ammonium chloride solution C.F.Chen;F.Chen
  3. J. Fluid Mech. v.297 Steady-state chimneys in a mushy layer C.A.Chung;M.G.Worster
  4. Metall. Trans. v.1 The origin of freckles in unidirectionally solidified castings S.M.Copley;A.F.Giamei;S.M.Joghson;M.F.Hornbecker
  5. J. Fluid Mech. v.297 Flow-induce morphological instability of a mushy layer D.L.Feltham;M.G.Worster
  6. IMA J. Appl. Math. v.35 The formation of freckles in binary alloys A.C.Fowler
  7. Phil. Trans. R. Soc. Lond. v.A 345 Channel convection in partly solidified systems A.Hellawell;J.R.Sarazin;R.S.Steube
  8. Q. J. Mech. Appl. Math. v.36 A thermodynamically consistent model of a mushy zone R.N.Hills;D.E.Loper;P.H.Roberts
  9. Nature v.314 Dynamic solidification of a binary alloy H.E.Huppert;M.G.Worster
  10. Stellar and Planetary Magnetism Towards a theory of the structure and evolution of a dendrite layer P.H.Robers;D.E.Loper;Soward,A.M.(ed.)
  11. J. Appl. Phys. v.35 Stability of a planar interface during solidification of a dilute binary alloy W.W.Mullins;R.F.Sekerka
  12. J. Fluid Mech. v.356 A numerical investigation of steady convection in mushy layers during the directional solidification of binary alloys T.P.Schulze;M.G.Worster
  13. J. Geophys. Res. v.97 no.B5 Compositional convection in a reactive crystalline mush and the evolution of porosity S.Tait;C.Jaupart
  14. J. Fluid Mech. v.167 Solidification of an alloy from a cooled boundary M.G.Worster
  15. J. Fluid Mech. v.224 Natural convection in a mushy layer M.G.Worster