The IMA Volumes in Mathematics and its Applications

Free Boundaries in Viscous Flows

Editors: Brown, Robert A., Davis, Stephen H. (Eds.)

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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 deĀ§ 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.

Table of contents (6 chapters)

  • Mathematical Description of Viscous Free Surface Flows

    Young, Gerald W.

    Pages 1-27

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

    Pritchard, W. G. (et al.)

    Pages 29-48

  • High Order Boundary Integral Methods for Viscous Free Surface Flows

    Higdon, J. J. L. (et al.)

    Pages 49-66

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

    Pukhnachov, V. V.

    Pages 67-77

  • Long-Wave Interfacial Instabilities in Viscous Liquid Films

    Smith, Marc K.

    Pages 79-97

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-1-4613-8413-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-0-387-94253-7
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $99.00
price for USA
  • ISBN 978-1-4613-8415-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

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
Series Volume
61
Copyright
1994
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4613-8413-7
DOI
10.1007/978-1-4613-8413-7
Hardcover ISBN
978-0-387-94253-7
Softcover ISBN
978-1-4613-8415-1
Series ISSN
0940-6573
Edition Number
1
Number of Pages
XV, 112
Number of Illustrations and Tables
3 b/w illustrations
Topics