Numerical simulation of macrosegregation: a comparison between finite volume method and finite element method predictions and a confrontation with experiments View Full Text


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Article Info

DATE

1998-02

AUTHORS

N. Ahmad, J. Rappaz, J. -L. Desbiolles, T. Jalanti, M. Rappaz, H. Combeau, G. Lesoult, C. Stomp

ABSTRACT

Micro-macrosegregation calculations have been performed for a rectangular cavity containing either a Pb-48 wt pct Sn alloy or a Sn-5 wt pct Pb alloy. The numerical results calculated with a finite volume method (FVM) and a finite element method (FEM) are compared with experimental results previously obtained by Hebditch and Hunt. The two methods are based on the same average conservation equations governing heat and mass transfer and the same assumptions: lever rule, equal and constant density of the solid and liquid phases (except in the buoyancy term), permeability of the mushy zone given by the Carman-Kozeny relation, and no transport of the solid phase. Although the same parameters are used in both calculations, small differences are observed as a result of the different formulations. In particular, the instabilities appearing in the mushy zone (channels) of the Sn-5 wt pct Pb alloy are more pronounced with the FVM formulation as compared with FEM, whereas the opposite trend is observed for the Pb-48 wt pct Sn alloy. Nevertheless, the final segregation maps at the end of solidification compare fairly well with the experimental findings. More... »

PAGES

617-630

References to SciGraph publications

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  • 1992-08-01. On The Formation of Macrosegregations in Unidirectionally Solidified Sn-Pb and Pb-Sn Alloys in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1995-08. Coupled turbulent flow, heat, and solute transport in continuous casting processes in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1991-12-01. Simulation of freckles during vertical solidification of binary alloys in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1991-12-01. The energy and solute conservation equations for dendritic solidification in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1995-09. Analysis of the effect of shrinkage on macrosegregation in alloy solidification in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1981. Implementation of Finite Element Methods for Navier-Stokes Equations in NONE
  • 1991-06. A volume-averaged two-phase model for transport phenomena during solidification in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1989-10. Thermosolutal convection during dendritic solidification of alloys: Part i. Linear stability analysis in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1974-07. Observations of ingot macrosegregation on model systems in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1996-08. Modeling of microsegregation in macrosegregation computations in METALLURGICAL AND MATERIALS TRANSACTIONS A
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  • 1985-04. Inverse segregation in directionally solidified Al-Cu-Ti alloys with equiaxed grains in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1990-02. Conservation of mass and momentum for the flow of interdendritic liquid during solidification in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1996-09. Equiaxed dendritic solidification with convection: Part I. Multiscale/multiphase modeling in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1989-12-01. Thermosolutal convection during dendritic solidification of alloys: Part II. Nonlinear convection in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1990-02. Modeling of micro-macrosegregation in solidification processes in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s11661-998-0143-9

    DOI

    http://dx.doi.org/10.1007/s11661-998-0143-9

    DIMENSIONS

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    54 findings
    55 finite element method
    56 finite element method predictions
    57 finite volume method
    58 formulation
    59 heat
    60 instability
    61 lever rule
    62 liquid phase
    63 macrosegregation
    64 maps
    65 mass transfer
    66 method
    67 method predictions
    68 mushy zone
    69 numerical results
    70 numerical simulations
    71 opposite trend
    72 parameters
    73 permeability
    74 phase
    75 prediction
    76 rectangular cavity
    77 relation
    78 results
    79 rules
    80 same assumptions
    81 same parameters
    82 segregation maps
    83 simulations
    84 small differences
    85 solid phase
    86 solidification
    87 transfer
    88 transport
    89 trends
    90 volume method
    91 wt
    92 zone
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