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Jeff McFadden, NIST Sam Coriell, NIST Bill Mitchell, NIST Bruce Murray, SUNY Binghamton

Modeling of Flow during Coupled Monotectic Growth. Jeff McFadden, NIST Sam Coriell, NIST Bill Mitchell, NIST Bruce Murray, SUNY Binghamton Barry Andrews, U. Alabama, Birmingham J. Arikawa, U. Alabama, Birmingham. NASA Physical Sciences Research Division. Rod Monotectic Growth.

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Jeff McFadden, NIST Sam Coriell, NIST Bill Mitchell, NIST Bruce Murray, SUNY Binghamton

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  1. Modeling of Flow during Coupled Monotectic Growth Jeff McFadden, NIST Sam Coriell, NIST Bill Mitchell, NIST Bruce Murray, SUNY Binghamton Barry Andrews, U. Alabama, Birmingham J. Arikawa, U. Alabama, Birmingham NASA Physical Sciences Research Division

  2. Rod Monotectic Growth Lamellar Eutectic Growth Al-In [Grugel & Hellawell (1981)] [Hunt & Lu (1994)] Want better prediction of lamella and rod spacings (monotectics)

  3. S S L2 L2 Monotectic Flow Models Flow z z z r r r Circular Cap Model Basic Domain Density Change Marangoni Flow U ~ V Um>> V Inter-rod Spacing l

  4. Analytical Model: Jackson-Hunt Theory (1966)

  5. (But the predicted spacing is 4 to 5 times too small for some monotectics) Seetharaman and Trevedi (1988)

  6. Modified Jackson-Hunt Theory Density-Change Flow [Still separable, but no lateral transport…] Magnin & Trivedi [Acta Met. (1991)], Coriell et al. [JCG (1997)]

  7. Inclusion of Lateral Transport

  8. Stokes Flow (Sn-Pb)

  9. Tangential Velocity Component (Sn-Pb)

  10. Num MJH Eutectic Lamellar Spacing (Sn-Pb) JH (Predicted spacing consistent with experiment)

  11. JH Num Euctectic Lamellar Spacing (Fe-C) MJH (Predicted spacing is 5 X too small)

  12. Numerical Modified Jackson-Hunt Interface Concentration (Fe-C)

  13. MJH Num Monotectic Rod Spacing (Al-In) JH (Predicted spacing is 4 X too small)

  14. Monotectic composition + 2.0 mass% Rod Growth (Al-In) Monotectic composition

  15. Relative to the Modified Jackson-Hunt theory: • Lateral flow increases spacing for Sn-Pb, Al-In (augments diffusion) • Lateral flow decreases spacing for Fe-C (opposes diffusion) • Predicted spacings are still too small for monotectics Current Work Summary Linear stability of a planar fluid-fluid phase boundary in directional solidification (monotectic L1 – L2 transition) Account for bouyancy, density change, Marangoni flow • Laplace-Young equation • Gibbs-Thomson equation • Classius-Clapyron equation

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