메뉴 건너뛰기




Volumn 168, Issue 2, 2001, Pages 384-411

Numerical Study of Convection in the Directional Solidification of a Binary Alloy Driven by the Combined Action of Buoyancy, Surface Tension, and Electromagnetic Forces

Author keywords

Directional binary alloy solidification; Finite element method; Front tracking methodology; Magneto hydrodynamics; Marangoni convection; Natural convection; Stabilized Navier Stokes solvers; Surface tension

Indexed keywords

BINARY ALLOYS; BISMUTH ALLOYS; BUOYANCY; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MAGNETIC FIELDS; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; PHASE INTERFACES; SOLUTE TRANSPORT; SURFACE TENSION;

EID: 0142173645     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2001.6706     Document Type: Article
Times cited : (33)

References (39)
  • 3
    • 0002056239 scopus 로고
    • Surface-tension-driven flow in crystal growth melts
    • edited by, H. C. Freyhardt, Springer-Verlag, Berlin
    • D. Schwabe, Surface-tension-driven flow in crystal growth melts, in, Crystals: Growth, Properties and Applications, edited by, H. C. Freyhardt, Springer-Verlag, Berlin, 1988, Vol, 11, p, 75.
    • (1988) In, Crystals: Growth, Properties and Applications , vol.11 , pp. 75
    • Schwabe, D.1
  • 4
    • 85024665107 scopus 로고
    • Luid mechanics in crystal growth - The 1982 Freeman Scholar Lecture
    • Ostrach S. luid mechanics in crystal growth - the 1982 Freeman Scholar Lecture. J. Fluids Eng. 105:1983;5.
    • (1983) J. Fluids Eng. , vol.105 , pp. 5
    • Ostrach, S.1
  • 5
    • 0021825899 scopus 로고
    • Buoyancy-driven flows in crystal-growth melts
    • Langlois W. E. Buoyancy-driven flows in crystal-growth melts. Ann. Rev. Fluid Mech. 17:1985;191.
    • (1985) Ann. Rev. Fluid Mech. , vol.17 , pp. 191
    • Langlois, W.E.1
  • 7
    • 0007769401 scopus 로고
    • Numerical solution of double-diffusive Marangoni convection
    • Bergman T. L. Numerical solution of double-diffusive Marangoni convection. Phys. Fluids. 29:1986;2103.
    • (1986) Phys. Fluids , vol.29 , pp. 2103
    • Bergman, T.L.1
  • 8
    • 0022489066 scopus 로고
    • Combined buoyancy- And thermocapillary-driven convection in open square cavities
    • Bergman T. L., Ramadhyani S. Combined buoyancy- and thermocapillary-driven convection in open square cavities. Numer. Heat Transfer. 9:1986;441.
    • (1986) Numer. Heat Transfer , vol.9 , pp. 441
    • Bergman, T.L.1    Ramadhyani, S.2
  • 9
    • 0023763542 scopus 로고
    • Coupled buoyant thermocapillary convection
    • Metzger J., Schwabe D. Coupled buoyant thermocapillary convection. Physico-Chem. Hydrodyn. 10:1988;263.
    • (1988) Physico-Chem. Hydrodyn. , vol.10 , pp. 263
    • Metzger, J.1    Schwabe, D.2
  • 10
    • 84971918255 scopus 로고
    • Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to a horizontal temperature gradient
    • Ben Hadid H., Roux B. Thermocapillary convection in long horizontal layers of low-Prandtl-number melts subject to a horizontal temperature gradient. J. Fluid Mech. 221:1990;77.
    • (1990) J. Fluid Mech. , vol.221 , pp. 77
    • Ben Hadid, H.1    Roux, B.2
  • 11
    • 0001740383 scopus 로고
    • Coupled buoyancy and Marangoni convection in acetone: Experiments and comparison with numerical simulations
    • Villers D., Platten J. K. Coupled buoyancy and Marangoni convection in acetone: Experiments and comparison with numerical simulations. J. Fluid Mech. 234:1992;487.
    • (1992) J. Fluid Mech. , vol.234 , pp. 487
    • Villers, D.1    Platten, J.K.2
  • 12
    • 0025258630 scopus 로고
    • Simulation of pure metal melting with buoyancy and surface tension forces in the liquid phase
    • Bergman T. L., Webb B. W. Simulation of pure metal melting with buoyancy and surface tension forces in the liquid phase. Int. J. Heat Mass Transfer. 33:1990;139.
    • (1990) Int. J. Heat Mass Transfer , vol.33 , pp. 139
    • Bergman, T.L.1    Webb, B.W.2
  • 13
    • 0027147146 scopus 로고
    • Pure material melting and solidification with liquid phase buoyancy and surface tension forces
    • Liu A., Voth T. E., Bergman T. L. Pure material melting and solidification with liquid phase buoyancy and surface tension forces. Int. J. Heat Mass Transfer. 36:1993;411.
    • (1993) Int. J. Heat Mass Transfer , vol.36 , pp. 411
    • Liu, A.1    Voth, T.E.2    Bergman, T.L.3
  • 14
    • 0024916598 scopus 로고
    • Numerical analysis of binary solid-liquid phase change with buoyancy and surface tension driven convection
    • Incropera F. P., Engel A. H. H., Bennon W. D. Numerical analysis of binary solid-liquid phase change with buoyancy and surface tension driven convection. Numer. Heat Transfer A. 16:1989;407.
    • (1989) Numer. Heat Transfer a , vol.16 , pp. 407
    • Incropera, F.P.1    Engel, A.H.H.2    Bennon, W.D.3
  • 15
    • 0026412472 scopus 로고
    • Interaction of thermocapillary and natural convection flows during solidification: Normal and reduced gravity conditions
    • Shyy W., Chen M-H. Interaction of thermocapillary and natural convection flows during solidification: Normal and reduced gravity conditions. J. Cryst. Growth. 108:1991;247.
    • (1991) J. Cryst. Growth , vol.108 , pp. 247
    • Shyy, W.1    Chen, M.-H.2
  • 16
    • 0001055195 scopus 로고
    • Convection in melt growth
    • edited by, D. T. J. Hurle, North-Holland, Amsterdam Chapter 13
    • G. Müller, and, A. Ostrogorsky, Convection in melt growth, in, Handbook of Crystal Growth, Bulk Crystal Growth, edited by, D. T. J. Hurle, North-Holland, Amsterdam, 1993, Vol, 2b, Chapter 13, p, 711.
    • (1993) In, Handbook of Crystal Growth, Bulk Crystal Growth , vol.2 B , pp. 711
    • Müller, G.1    Ostrogorsky, A.2
  • 17
    • 0012152479 scopus 로고
    • Convection and inhomogeneities in crystal growth from the melt
    • edited by, H. C. Freyhardt, Springer-Verlag, Berlin
    • G. Müller, Convection and inhomogeneities in crystal growth from the melt, in, Crystals, edited by, H. C. Freyhardt, Springer-Verlag, Berlin, 1988, Vol, 12.
    • (1988) In, Crystals , vol.12
    • Müller, G.1
  • 18
    • 0001686545 scopus 로고
    • The effect of a magnetic field on transport phenomena in a Bridgman-Stockbarger crystal growth
    • Oreper G. M., Szekely J. The effect of a magnetic field on transport phenomena in a Bridgman-Stockbarger crystal growth. J. Cryst. Growth. 67:1984;405.
    • (1984) J. Cryst. Growth , vol.67 , pp. 405
    • Oreper, G.M.1    Szekely, J.2
  • 19
    • 20344392722 scopus 로고
    • Magnetic field elimination of convective interference with segregation during vertical-Bridgman growth of doped semiconductors
    • Motakef S. Magnetic field elimination of convective interference with segregation during vertical-Bridgman growth of doped semiconductors. J. Cryst. Growth. 64:1990;505.
    • (1990) J. Cryst. Growth , vol.64 , pp. 505
    • Motakef, S.1
  • 20
    • 0024034995 scopus 로고
    • Effect of vertical magnetic field on convection and segregation in vertical Bridgman crystal growth
    • Kim D. H., Adornato P. M., Brown R. A. Effect of vertical magnetic field on convection and segregation in vertical Bridgman crystal growth. J. Cryst. Growth. 89:1988;339.
    • (1988) J. Cryst. Growth , vol.89 , pp. 339
    • Kim, D.H.1    Adornato, P.M.2    Brown, R.A.3
  • 21
    • 0031080672 scopus 로고    scopus 로고
    • Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. 1. Two-dimensional flow
    • Ben Hadid H., Henry D. Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. 1. Two-dimensional flow. J. Fluid. Mech. 333:1997;23.
    • (1997) J. Fluid. Mech. , vol.333 , pp. 23
    • Ben Hadid, H.1    Henry, D.2
  • 22
    • 0031080774 scopus 로고    scopus 로고
    • Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. 2. Three-dimensional flow
    • Ben Hadid H., Henry D. Numerical study of convection in the horizontal Bridgman configuration under the action of a constant magnetic field. 2. Three-dimensional flow. J. Fluid. Mech. 333:1997;57.
    • (1997) J. Fluid. Mech. , vol.333 , pp. 57
    • Ben Hadid, H.1    Henry, D.2
  • 23
    • 0028192017 scopus 로고
    • Macrosegregation and convection in the horizontal Bridgman configuration. I. Dilute alloys
    • Kaddeche S., Ben Hadid H., Henry D. Macrosegregation and convection in the horizontal Bridgman configuration. I. Dilute alloys. J. Cryst. Growth. 135:1994;341.
    • (1994) J. Cryst. Growth , vol.135 , pp. 341
    • Kaddeche, S.1    Ben Hadid, H.2    Henry, D.3
  • 24
    • 0026835076 scopus 로고
    • Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements
    • Tezduyar T. E., Mittal S., Ray S. E., Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure elements. Comput. Meth. Appl. Mech. Eng. 95:1992;221.
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.95 , pp. 221
    • Tezduyar, T.E.1    Mittal, S.2    Ray, S.E.3    Shih, R.4
  • 25
    • 77956849889 scopus 로고
    • Stabilized finite element formulations for incompressible flow computations
    • Tezduyar T. E. Stabilized finite element formulations for incompressible flow computations. Adv. Appl. Mech. 28:1992;1.
    • (1992) Adv. Appl. Mech. , vol.28 , pp. 1
    • Tezduyar, T.E.1
  • 26
    • 0033616881 scopus 로고    scopus 로고
    • An object-oriented implementation of a front tracking finite element method for directional solidification processes
    • Sampath R., Zabaras N. An object-oriented implementation of a front tracking finite element method for directional solidification processes. Int. J. Numer. Methods Eng. 44:1999;1227.
    • (1999) Int. J. Numer. Methods Eng. , vol.44 , pp. 1227
    • Sampath, R.1    Zabaras, N.2
  • 27
    • 0023960625 scopus 로고
    • Mathematical and physical modelling of double diffusive convection of aqueous solutions crystallizing at a vertical wall
    • Thompson M. E., Szekely J. Mathematical and physical modelling of double diffusive convection of aqueous solutions crystallizing at a vertical wall. J. Fluid Mech. 187:1988;409.
    • (1988) J. Fluid Mech. , vol.187 , pp. 409
    • Thompson, M.E.1    Szekely, J.2
  • 28
    • 0029395148 scopus 로고
    • Solidification of a binary alloy of variable viscosity from a vertical boundary
    • Jarvis R. A., Huppert H. E. Solidification of a binary alloy of variable viscosity from a vertical boundary. J. Fluid Mech. 303:1995;103.
    • (1995) J. Fluid Mech. , vol.303 , pp. 103
    • Jarvis, R.A.1    Huppert, H.E.2
  • 29
    • 0032145234 scopus 로고    scopus 로고
    • An investigation of the solutal, thermal and flow fields in unidirectional alloy solidification
    • Simpson J. E., Garimella S. V. An investigation of the solutal, thermal and flow fields in unidirectional alloy solidification. Int. J. Heat Mass Transfer. 41:1998;2485.
    • (1998) Int. J. Heat Mass Transfer , vol.41 , pp. 2485
    • Simpson, J.E.1    Garimella, S.V.2
  • 30
    • 0033207285 scopus 로고    scopus 로고
    • Transient effects during the horizontal Bridgman growth of cadmium zinc telluride
    • Edwards K., Brandon S., Derby J. J. Transient effects during the horizontal Bridgman growth of cadmium zinc telluride. J. Cryst. Growth. 206:1999;37.
    • (1999) J. Cryst. Growth , vol.206 , pp. 37
    • Edwards, K.1    Brandon, S.2    Derby, J.J.3
  • 31
    • 0001626498 scopus 로고    scopus 로고
    • The adjoint method for an inverse design problem in the directional solidification of binary alloys
    • Yang G. Z., Zabaras N. The adjoint method for an inverse design problem in the directional solidification of binary alloys. J. Comput. Phys. 140:1998;432.
    • (1998) J. Comput. Phys. , vol.140 , pp. 432
    • Yang, G.Z.1    Zabaras, N.2
  • 32
    • 85190807821 scopus 로고    scopus 로고
    • Inverse thermal design and control of solidification processes in the presence of a strong external magnetic field
    • in press
    • R. Sampath, and, N. Zabaras, Inverse thermal design and control of solidification processes in the presence of a strong external magnetic field, Int. J. Numer. Meth. Eng, in press.
    • Int. J. Numer. Meth. Eng
    • Sampath, R.1    Zabaras, N.2
  • 34
    • 0023856142 scopus 로고
    • Double-diffusive convection during dendritic solidification of a binary mixture
    • Beckermann C., Viskanta R. Double-diffusive convection during dendritic solidification of a binary mixture. Phys. Chem. Hydrodyn. 10:1988;195.
    • (1988) Phys. Chem. Hydrodyn. , vol.10 , pp. 195
    • Beckermann, C.1    Viskanta, R.2
  • 36
    • 0005821643 scopus 로고    scopus 로고
    • Krylov subspace iterations for sparse linear systems
    • edited by, M. Daehlen and A. Tveito, Birkhauser, Boston
    • A. M. Bruaset, Krylov subspace iterations for sparse linear systems, in, Numerical Methods and Software Tools in Industrial Mathematics, edited by, M. Daehlen and A. Tveito, Birkhauser, Boston, 1997.
    • (1997) In, Numerical Methods and Software Tools in Industrial Mathematics
    • Bruaset, A.M.1
  • 37
    • 85190776697 scopus 로고    scopus 로고
    • Design and Object-oriented Implementation of a Preconditioned Stabilized Incomperssible Navier-Stokes Solver Using Equal-order-interpolation Velocity Pressure Elements
    • Sibley School of Mechanical and Aerospace Engineering, Cornell University), available at
    • R. Sampath, and, N. Zabaras, Design and Object-oriented Implementation of a Preconditioned Stabilized Incomperssible Navier-Stokes Solver Using Equal-order-interpolation Velocity Pressure Elements, Research Report MM-99-01, Sibley School of Mechanical and Aerospace Engineering, Cornell University), available at, http://www.mae.cornell.edu/zabaras .
    • Research Report MM-99-01
    • Sampath, R.1    Zabaras, N.2
  • 38
    • 0001212108 scopus 로고
    • Convection and segregation in directional solidification of dilute and non-dilute binary alloys: Effects of ampoule and furnace design
    • Adornato P. M., Brown R. A. Convection and segregation in directional solidification of dilute and non-dilute binary alloys: Effects of ampoule and furnace design. J. Cryst. Growth. 80:1987;155.
    • (1987) J. Cryst. Growth , vol.80 , pp. 155
    • Adornato, P.M.1    Brown, R.A.2
  • 39
    • 0026205111 scopus 로고
    • The use of magnetic fields in semiconductor crystal growth
    • Series R. W., Hurle D. T. J. The use of magnetic fields in semiconductor crystal growth. J. Cryst. Growth. 113:1991;305.
    • (1991) J. Cryst. Growth , vol.113 , pp. 305
    • Series, R.W.1    Hurle, D.T.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.