Document Type
Article
Publication Date
10-2003
Publication Title
Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science
Abstract
Based on measurements of the specific dendrite surface area (S-nu), fraction of interdendritic liquid (phi), and primary dendrite spacing (lambda(1)) on transverse sections in a range of directionally solidified hypoeutectic Pb-Sb and Pb-Sn alloys that were grown at thermal gradients varying from 10 to 197 K cm(-1) and growth speeds ranging from 2 to 157 mum s(-1), it is observed that S-nu = lambda(1)(-1) S*(-0.33) (3.38 - 3.29 phi + 8.85 phi(2)), where S* = D-l G(eff)/V m(1) C-o (k - 1)/k, with D-l being the solutal diffusivity in the melt, G(eff) being the effective thermal gradient, V being the growth speed, m(l) being the liquidus slope, C-o being the solute content of the melt, and k being the solute partition coefficient. Use of this relationship in defining the mushy-zone permeability yields an analytical Rayleigh number that can be used to describe the extent of interdendritic convection during directional solidification. An increasing Rayleigh number shows a strong correlation with the experimentally observed reduction in the primary dendrite spacing as compared with those predicted theoretically in the absence of convection.
Repository Citation
Tewari, Surendra N. and Tiwari, R., "A Mushy-Zone Rayleigh Number to Describe Interdendritic Convection During Directional Solidification of Hypoeutectic Pb-Sb and Pb-Sn Alloys" (2003). Chemical & Biomedical Engineering Faculty Publications. 1.
https://engagedscholarship.csuohio.edu/encbe_facpub/1
Original Citation
Tewari, S.N., & Tiwari, R. (2003). A Mushy-Zone Rayleigh Number to Describe Interdendritic Convection During Directional Solidification of Hypoeutectic Pb-Sb and Pb-Sn Alloys. Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science 34A, 2365-2376
Volume
34A
Issue
10
DOI
10.1007/s11661-003-0299-2
Version
Publisher's PDF
Publisher's Statement
Copyright 2003 ASM International. This paper was published in Metallurgical and Materials Transactions A: Physical Metallurgy and Materials Science, Vol. 34A, Issue 10, pp. 2365-2376 and is made available as an electronic reprint with the permission of ASM International. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplications of any material in this paper for a fee or for commercial purposes, or modification of the content of this paper are prohibited.
Available on publisher's site at: http://www.asminternational.org/portal/site/www/AsmStore/ProductDetails/?vgnextoid=8a009163991e5210VgnVCM100000621e010aRCRD.
