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Applied Mathematical Sciences

Falling Liquid Films

Authors: Kalliadasis, S., Ruyer-Quil, C., Scheid, B., Velarde, M.G.

  • Easy access to mathematical models of different degrees of complexity, capable of describing, with controllable accuracy, falling liquid films
  • Gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies
  • Provides a research-oriented exposition of the fundamentals of interfacial fluid mechanics, especially of its conceptual framework and the underlying assumptions
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About this book

Falling Liquid Films gives a detailed review of state-of-the-art theoretical, analytical and numerical methodologies, for the analysis of dissipative wave dynamics and pattern formation on the surface of a film falling down a planar inclined substrate. This prototype is an open-flow hydrodynamic instability, that represents an excellent paradigm for the study of complexity in active nonlinear media with energy supply, dissipation and dispersion. It will also be of use for a more general understanding of specific events characterizing the transition to spatio-temporal chaos and weak/dissipative turbulence.  Particular emphasis is given to low-dimensional approximations for such flows through a hierarchy of modeling approaches, including equations of the boundary-layer type, averaged formulations based on weighted residuals approaches and long-wave expansions. Whenever possible the link between theory and experiment is illustrated, and, as a further bridge between the two, the development of order-of-magnitude estimates and scaling arguments is used to facilitate the understanding of basic, underlying physics.

 

This monograph will appeal to advanced graduate students in applied mathematics, science or engineering undertaking research on interfacial fluid mechanics or studying fluid mechanics as part of their program. It will also be of use to researchers working on both applied, fundamental theoretical and experimental aspects of thin film flows, as well as engineers and technologists dealing with processes involving isothermal or heated films. This monograph is largely self-contained and no background on interfacial fluid mechanics is assumed.

Table of contents (10 chapters)

  • Introduction

    Kalliadasis, S. (et al.)

    Pages 1-19

  • Flow and Heat Transfer: Formulation

    Kalliadasis, S. (et al.)

    Pages 21-38

  • Primary Instability

    Kalliadasis, S. (et al.)

    Pages 39-64

  • Boundary Layer Approximation

    Kalliadasis, S. (et al.)

    Pages 65-93

  • Methodologies for Low-Reynolds Number Flows

    Kalliadasis, S. (et al.)

    Pages 95-144

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-84882-367-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-84882-366-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4471-2710-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Falling Liquid Films
Authors
Series Title
Applied Mathematical Sciences
Series Volume
176
Copyright
2012
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Limited
eBook ISBN
978-1-84882-367-9
DOI
10.1007/978-1-84882-367-9
Hardcover ISBN
978-1-84882-366-2
Softcover ISBN
978-1-4471-2710-9
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XVI, 440
Topics