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Interdisciplinary Applied Mathematics

Fundamentals of Two-Fluid Dynamics

Part II: Lubricated Transport, Drops and Miscible Liquids

Authors: Joseph, Daniel D., Renardy, Yuriko

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About this book

Two-fluid dynamics is a challenging subject rich in physics and prac­ tical applications. Many of the most interesting problems are tied to the loss of stability which is realized in preferential positioning and shaping of the interface, so that interfacial stability is a major player in this drama. Typically, solutions of equations governing the dynamics of two fluids are not uniquely determined by the boundary data and different configurations of flow are compatible with the same data. This is one reason why stability studies are important; we need to know which of the possible solutions are stable to predict what might be observed. When we started our studies in the early 1980's, it was not at all evident that stability theory could actu­ ally work in the hostile environment of pervasive nonuniqueness. We were pleasantly surprised, even astounded, by the extent to which it does work. There are many simple solutions, called basic flows, which are never stable, but we may always compute growth rates and determine the wavelength and frequency of the unstable mode which grows the fastest. This proce­ dure appears to work well even in deeply nonlinear regimes where linear theory is not strictly valid, just as Lord Rayleigh showed long ago in his calculation of the size of drops resulting from capillary-induced pinch-off of an inviscid jet.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-1-4615-7061-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.99
price for USA in USD
  • ISBN 978-1-4615-7063-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fundamentals of Two-Fluid Dynamics
Book Subtitle
Part II: Lubricated Transport, Drops and Miscible Liquids
Authors
Series Title
Interdisciplinary Applied Mathematics
Series Volume
4
Copyright
1993
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4615-7061-5
DOI
10.1007/978-1-4615-7061-5
Softcover ISBN
978-1-4615-7063-9
Series ISSN
0939-6047
Edition Number
1
Number of Pages
XV, 445
Number of Illustrations
231 b/w illustrations, 32 illustrations in colour
Topics

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