Journal ArticleDOI
Growth of dendritic needles from a supercooled melt
TLDR
In this article, an exact solution to the heat flow equation for the growth of dendritic needles from a supercooled melt was obtained by taking into account the interface curvature and the interface kinetics effects under the assumption that the shape of the advancing interface corresponds to a paraboloid of revolution.About:
This article is published in Acta Metallurgica.The article was published on 1970-03-01. It has received 184 citations till now. The article focuses on the topics: Dendrite (crystal) & Supercooling.read more
Citations
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Journal ArticleDOI
Solidification microstructures and solid-state parallels: Recent developments, future directions
Mark Asta,Christoph Beckermann,Alain Karma,Wilfried Kurz,Ralph E. Napolitano,Mathis Plapp,Gary R. Purdy,Michel Rappaz,Rohit Trivedi +8 more
TL;DR: In this paper, the authors review the most important findings in this technologically important area that impact Our quantitative understanding of: (i) key anisotropic properties of the solid liquid interface that govern solidification pattern evolution, including the solid-liquid interface free energy and the kinetic coefficient; (ii) dendritic solidification at small and large growth rates.
Journal ArticleDOI
Theory of dendritic growth—i. elements of a stability analysis
J.S. Langer,H. Müller-Krumbhaar +1 more
TL;DR: In this paper, the maximum velocity principle was replaced by a stability criterion of the form υρ 2 = constant, where υ is the growth rate and ρ the tip radius of a dendrite.
Journal ArticleDOI
Overview 12: Fundamentals of dendritic solidification—I. Steady-state tip growth
S.-C. Huang,Martin E. Glicksman +1 more
TL;DR: In this article, the dendritic stability criterion measured is 2 αd 0 / VR 2 = 0.0195, where V is the growth velocity, R is the dandritic tip radius, a is the liquid thermal diffusivity, and d 0 is a capillary length defined in the text.
Journal ArticleDOI
Physical processes in fusion welding
Tarasankar Debroy,Stan A David +1 more
TL;DR: In recent years, major advances have taken place in our understanding of welding processes and welded materials because of the complexity of fusion welding processes, solution of many important contemporary problems in fusion welding requires an interdisciplinary approach as mentioned in this paper.
Journal ArticleDOI
Cellular and dendritic growth. I
M.H. Burden,J.D. Hunt +1 more
TL;DR: In this article, a theoretical model was developed to explain the variation in cellular or dendritic tip temperatures with velocity and temperature gradient, and it was shown that the undercooling can be considered to arise as a result of build up of average solute concentration ahead of the growth front depending mainly on the imposed temperature gradient.
References
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Journal ArticleDOI
Methods of Theoretical Physics. By P.M. Morse and H. Feschbach. 2vols., Pp.xxii, 1978. 120s. each vol. 1953.(McGraw-Hill)
Journal ArticleDOI
Morphological Stability of a Particle Growing by Diffusion or Heat Flow
W. W. Mullins,R. F. Sekerka +1 more
TL;DR: In this article, the stability of the shape of a phase boundary enclosing a particle whose growth during a phase transformation is regulated by the diffusion of material or the flow of heat is studied.
Journal ArticleDOI
Dendritic and spheroidal growth
G Horvay,John W. Cahn +1 more
TL;DR: In this article, the authors obtained exact solutions to the diffusion equation which correspond to diffusion controlled growth of elliptical paraboloids (dendrites; forward growth with linear time dependence) and spheroids (growth with square root of time dependence).
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Overview 12: Fundamentals of dendritic solidification—I. Steady-state tip growth
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