The energy and solute conservation equations for dendritic solidification |
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Authors: | D R Poirier P J Nandapurkar S Ganesan |
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Affiliation: | (1) Department of Materials Science and Engineering, The University of Arizona, 85721 Tucson, AZ;(2) Dow Chemical, 77541 Freeport, TX;(3) Motorola, Inc., 85008 Phoenix, AZ |
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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 (g
L) in the mushy zone is sensitive to the extent of the diffusion in the solid. Good predictions ofg
L are necessary, especially when convection in the mushy zone is calculated.
Formerly Research Associate, The University of Arizona.
Formerly Graduate Student, The University of Arizona. |
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Keywords: | |
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