Interactive Dynamics of Convection and Solidification

By: Peter Ehrhard (Editor), David S. Riley (Editor), Paul H. Steen (Editor)

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Hardcover | 30 June 2001

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288 Pages

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24.13 x 15.88 x 1.4

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Crystal growth, casting, soldering, welding, high-energy surface treatment, nuclear safety systems and geophysical flows are just a few examples where solidification and convection occur together. These processes are interactive on micro- and macroscales: flow affects the distribution of heat and species and hence the freezing process, while solidification evolves flow boundaries, as in crusting, for example, and hence can radically alter the convection. Mathematical modellers, experimentalists and applied scientists were invited to this colloquium with the aim of consolidating our understanding of such interactions, of identifying key outstanding issues, and of developing new approaches in this important area of fundamental research. Both invited and contributed papers focus on both fundamental and technologically relevant problems.

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Preface	p. ix
Microscale phenomena
Flow-induced morphologies in directional solidification	p. 3
Localized morphologies in directional solidification of binary alloys	p. 5
Long wave and short wave oscillatory patterns in rapid directional solidification	p. 13
Stability of solidifying material in an under-cooled melt with convection	p. 25
Time-dependent behavior of dendrites under diffusion-controlled conditions	p. 33
Velocity and shape selection of dendritic crystals in a forced flow	p. 47
Simulation of natural convection effects on dendritic growth	p. 57
Measurements of liquid diffusion coefficients	p. 59
Mushy zone phenomena
Interfaces on all scales	p. 69
Mushy zones with fully developed chimneys	p. 71
Model for meso-segregation in forced convection using phase-averaging	p. 81
Coupling macro and micro phenomena during solidification of alloys	p. 91
Mechanical characteristics of semi-solid steels	p. 99
Solidification in ternary systems	p. 113
Phase transitions in liquid crystalline elastomers	p. 123
Macroscale phenomena
Recent developments in modelling continuous casting of steel	p. 135
Magnetic stirring in horizontal continuous casting	p. 137
Solidification-induced secondary flows in spin-casting	p. 145
Spreading flows with solidification - top crusting	p. 155
Melt spreading with temperature-dependent viscosity	p. 165
Convection in transient flows of solidifying oxidic mixtures	p. 177
Axisymmetric spreading of melts with basal solidification	p. 187
The wetting of metallic substrates by low melting point alloys	p. 195
Solidifying sessile water droplets	p. 209
Convection and interface shape during Czochralski crystal growth	p. 227
A moving grid model for melting and solidification problems	p. 235
In-situ real-time visualization of solidifying and melting metallic alloys	p. 243
Freezing of pure melt flowing into tubes	p. 249
Topic Index	p. 269
Author Index	p. 271
Table of Contents provided by Syndetics. All Rights Reserved.

Interactive Dynamics of Convection and Solidification

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Hardcover

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