Microscale Coupling of Solidification and Flow

作者: S. H. Davis

DOI: 10.1007/978-94-011-2809-4_6

关键词: Directional solidificationConvective instabilityNonlinear systemRayleigh numberMicroscale chemistryCouplingInstabilityMechanicsFlow (mathematics)Physics

摘要: Morphological instability is discussed via linear and nonlinear theories. Couplings with forced flows convecting melts are in terms of physical mechanisms mathematical descriptions. Microscale evolutions coupled phenomena involve the development cells, travelling waves, selection patterns scales.

参考文章(63)
B. Cantor, Fundamentals of Rapid Solidification Springer, Dordrecht. pp. 3- 28 ,(1986) , 10.1007/978-94-009-4456-5_1
C. W. White, P. S. Peercy, Laser and Electron Beam Processing of Materials ,(1980)
Herbert Oertel, Jürgen Zierep, Convective transport and instability phenomena ,(1982)
G.B. McFadden, R.F. Boisvert, S.R. Coriell, Nonplanar interface morphologies during unidirectional solidification of a binary alloy Journal of Crystal Growth. ,vol. 84, pp. 371- 388 ,(1987) , 10.1016/0022-0248(87)90264-8
S. C. Huang, M. E. Glicksman, Convective heat transfer during dendritic growth mss. pp. 309- 312 ,(1979)
K. Brattkus, D. I. Meiron, Numerical Simulations of Unsteady Crystal Growth SIAM Journal on Applied Mathematics. ,vol. 52, pp. 1303- 1320 ,(1992) , 10.1137/0152075
A.K. Hobbs, P. Metzener, Directional solidification: interface dynamics and weak remote flow Journal of Crystal Growth. ,vol. 118, pp. 319- 332 ,(1992) , 10.1016/0022-0248(92)90079-X
D.A. Huntley, S.H. Davis, Thermal effects in rapid directional solidification: linear theory Acta Metallurgica Et Materialia. ,vol. 41, pp. 2025- 2043 ,(1993) , 10.1016/0956-7151(93)90373-Z
G. J. Merchant, R. J. Braun, K. Brattkus, S. H. Davis, Pulsatile Instability in Rapid Directional Solidification: Strongly-Nonlinear Analysis SIAM Journal on Applied Mathematics. ,vol. 52, pp. 1279- 1302 ,(1992) , 10.1137/0152074