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Free Boundaries in Viscous Flows

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Robert A. Brown

    1. Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Stephen H. Davis

    1. Department of Engineering Science and Applied Mathematics, Northwestern University, Evanston, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 61)

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Table of contents (6 papers)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Mathematical Description of Viscous Free Surface Flows

    • Gerald W. Young
    Pages 1-27

  3. Theoretical Issues Arising in the Modeling of Viscous Free-Surface Flows

    • W. G. Pritchard, Patricia Saavedra, L. Ridgway Scott, S. J. Tavener
    Pages 29-48

  4. High Order Boundary Integral Methods for Viscous Free Surface Flows

    • J. J. L. Higdon, C. A. Schnepper
    Pages 49-66

  5. Long Wave Instability of Viscous Liquid Free Surface Due to Anomalous Marangoni Effect

    • V. V. Pukhnachov
    Pages 67-77

  6. Long-Wave Interfacial Instabilities in Viscous Liquid Films

    • Marc K. Smith
    Pages 79-97

  7. Convective and Morphological Stability during Directional Solidification of the Succinonitrile-Acetone System

    • S. R. Coriell, B. T. Murray, G. B. McFadden, K. Leonartz
    Pages 99-112
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, USA

    Robert A. Brown

  • Department of Engineering Science and Applied Mathematics, Northwestern University, Evanston, USA

    Stephen H. Davis

Bibliographic Information

  • Book Title: Free Boundaries in Viscous Flows

  • Editors: Robert A. Brown, Stephen H. Davis

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8413-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Softcover ISBN: 978-1-4613-8415-1Published: 22 May 2013

  • eBook ISBN: 978-1-4613-8413-7Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XV, 112

  • Number of Illustrations: 3 b/w illustrations

  • Topics: Mathematics, general

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