
Free Boundaries in Viscous Flows
Springer (Publisher)
Published on 22. May 2013
Book
Paperback/Softback
XV, 112 pages
978-1-4613-8415-1 (ISBN)
Description
It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de§ scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1994
Language
English
Place of publication
New York
United States
Target group
Professional and scholarly
Research
Illustrations
3 s/w Abbildungen
XV, 112 p. 3 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 8 mm
Weight
213 gr
ISBN-13
978-1-4613-8415-1 (9781461384151)
DOI
10.1007/978-1-4613-8413-7
Schweitzer Classification
Other editions
Additional editions

Robert A. Brown | Stephen H. Davis
Free Boundaries in Viscous Flows
Book
04/1994
Springer
€85.55
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Content
Mathematical description of viscous free surface flows.- Theoretical issues arising in the modeling of viscous free-surface flows.- High order boundary integral methods for viscous free surface flows.- Long wave instability of viscous liquid free surface due to anomalous Marangoni effect.- Long-wave interfacial instabilities in viscous liquid films.- Convective and morphological stability during directional solidification of the succinonitrile-acetone system.