Journal ArticleDOI
Directional solidification with heat losses
K. Brattkus,Stephen H. Davis +1 more
TLDR
In this paper, the upward directional solidification of a dilute binary alloy in a tall, thin, two-dimensional slot is considered, and an asymptotic approach is used which relates the small heat loss to the thinness of the solidification cell, and solutions for the resulting melt convection, interface deflection, and the distribution of heat and solute.About:
This article is published in Journal of Crystal Growth.The article was published on 1988-09-01. It has received 26 citations till now. The article focuses on the topics: Directional solidification & Thermodynamic equilibrium.read more
Citations
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Journal ArticleDOI
Phase-field simulation of dendritic growth in a shear flow
Robert Tönhardt,Gustav Amberg +1 more
TL;DR: In this article, the dendritic evolution of an initially small nucleus is affected by a mean external flow, and the nucleus is considered to be attached to a solid wall, and it grows away from the wall into the melt.
Journal ArticleDOI
Dendritic growth of randomly oriented nuclei in a shear flow
Robert Tönhardt,Gustav Amberg +1 more
TL;DR: In this article, a numerical study of the effect of an external mean flow on dendritic growth has been performed using 2D phase-field computations using an adaptive finite element method.
Journal ArticleDOI
Fluid flow in solidifying monotectic alloys
TL;DR: In this article, the relationship among fluid flow, phase separation, and mass transport during the solidification of the monotectic alloy is discussed, and the effects of buoyancy are especially evident in association with water- or ethanol-rich volumes created at the solid-liquid growth interface.
Journal ArticleDOI
Surface tension driven heat, mass, and momentum transport in a two-dimensional float-zone
Gerald W. Young,Arnon Chait +1 more
TL;DR: In this paper, a model for a float zone established in a thin vertical sheet is presented for a coordinate system translating with the heater, equations describing the steady, two-dimensional transport of momentum, heat and solute in the melt, and diffusion of heat in the feed material and the product crystal are discussed.
Journal ArticleDOI
Comparison of Asymptotic Solutions of a Phase-Field Model to a Sharp-Interface Model
Gerald W. Young,S. I. Hariharan +1 more
TL;DR: A one-dimensional directional solidification problem is considered for the purpose of analyzing the relationship between the solution resulting from a phase-field model to that from a sharp-interface model and agreement at leading order is shown for the location of the solidification front and the temperature profiles in the solid and liquid phases.
References
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Book
Buoyancy Effects in Fluids
TL;DR: In this article, the authors introduce linear internal waves and herar flows in a stratified fluid and double-diffusive convection in stably stratified fluids, and show that the shear flows can produce turbulence.
Journal ArticleDOI
Stability of a Planar Interface During Solidification of a Dilute Binary Alloy
W. W. Mullins,R. F. Sekerka +1 more
TL;DR: In this article, the stability of a moving planar liquid-solid interface during unidirectional freezing of a dilute binary alloy is theoretically investigated by calculating the time dependence of the amplitude of a sinusoidal perturbation of infinitesimal amplitude introduced into the planar shape.
Journal ArticleDOI
Radial segregation induced by natural convection and melt/solid interface shape in vertical bridgman growth
TL;DR: In this article, the roles of natural convection in the melt and the shape of the melt/solid interface on radial dopant segregation are analyzed for a prototype of vertical Bridgman crystal growth system by finite element methods that solve simultaneously for the velocity field in the melted, the shape in the solidification isotherm, and the temperature distribution in both phases.
Journal ArticleDOI
Steady thermocapillary flows in two-dimensional slots
Asok K. Sen,Stephen H. Davis +1 more
TL;DR: For small aspect ratios A, giving flow in thin, two-dimensional slots, an asymptotic theory valid for A yields to 0 is used to obtain the fluid and thermal fields as well as the interfacial shapes as discussed by the authors.
Related Papers (5)
Stability of a Planar Interface During Solidification of a Dilute Binary Alloy
W. W. Mullins,R. F. Sekerka +1 more
Convection and segregation in directional solidification of dilute and non-dilute binary alloys: Effects of ampoule and furnace design
Modelling of directional solidification: from Scheil to detailed numerical simulation
Robert S. Brown,Do Hyun Kim +1 more