The energy and solute conservation equations for dendritic solidification View Full Text


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Article Info

DATE

1991-12-01

AUTHORS

D. R. Poirier, P. J. Nandapurkar, S. Ganesan

ABSTRACT

The energy equation for solidifying dendritic alloys that includes the effects of heat of mixing in both the dendritic solid and the interdendritic liquid is derived. Calculations for Pb-Sn alloys show that this form of the energy equation should be used when the solidification rate is relatively high and/or the thermal gradients in the solidifying alloy are relatively low. Accurate predictions of transport phenomena in solidifying dendritic alloys also depend on the form of the solute conservation equation. Therefore, this conservation equation is derived with particular consideration to an accounting of the diffusion of solute in the dendritic solid. Calculations for Pb-Sn alloy show that the distribution of the volume fraction of interdendritic liquid (gL) in the mushy zone is sensitive to the extent of the diffusion in the solid. Good predictions ofgL are necessary, especially when convection in the mushy zone is calculated. More... »

PAGES

889-900

References to SciGraph publications

  • 1978-09. An experimental and analytical study of the solidification of a binary dendritic system in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1990-04. Mathematical modeling of microsegregation in binary metallic alloys in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1970-06. The viscosities of lead, tin, and Pb-Sn alloys in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1981-07. Dendrite coarsening and microsegregation in Al-Cu alloys in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1985. On the Effective Thermal Diffusivity of Macroscopic Heterogeneous Two Phase Materials in THERMAL CONDUCTIVITY 18
  • 1987-09. The evolution of macrosegregation in statically cast binary ingots in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1990-02. Conservation of mass and momentum for the flow of interdendritic liquid during solidification in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 1988-12. Enthalpies of a binary alloy during solidification in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1987-03. A model for the numerical computation of microsegregation in alloys in FLOW, TURBULENCE AND COMBUSTION
  • 1970-05. Interdendritic fluid flow and macrosegregation; influence of gravity 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
  • 1989-12. Efficient estimation of diffusion during dendritic solidification in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1988-09. Densities of Pb-Sn alloys during solidification in METALLURGICAL AND MATERIALS TRANSACTIONS A
  • 1987-03. Permeability for flow of interdendritic liquid in columnar-dendritic alloys in METALLURGICAL AND MATERIALS TRANSACTIONS B
  • 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

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02651165

    DOI

    http://dx.doi.org/10.1007/bf02651165

    DIMENSIONS

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