Falling Liquid Films

  • S. Kalliadasis
  • C. Ruyer-Quil
  • B. Scheid
  • M. G. Velarde

Part of the Applied Mathematical Sciences book series (AMS, volume 176)

Table of contents

  1. Front Matter
    Pages I-XV
  2. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 1-19
  3. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 21-38
  4. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 39-64
  5. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 65-93
  6. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 95-144
  7. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 145-192
  8. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 193-275
  9. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 277-308
  10. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 309-350
  11. S. Kalliadasis, C. Ruyer-Quil, B. Scheid, M. G. Velarde
    Pages 351-355
  12. Back Matter
    Pages 357-440

About this book

Introduction

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.

Keywords

Falling Films Falling Liquid Films Film Flows Heat Transfer Interfacial Flows Solitary Waves Thermocapillary Marangoni Effects Thin Films Wave Instabilities

Authors and affiliations

  • S. Kalliadasis
    • 1
  • C. Ruyer-Quil
    • 2
  • B. Scheid
    • 3
  • M. G. Velarde
    • 4
  1. 1.Department of Chemical EngineeringImperial College LondonLondonUnited Kingdom
  2. 2.Laboratoire FAST (Paris 6)Université Pierre et Marie CurieParisFrance
  3. 3.TIPs - Fluid Physics UnitUniversité Libre de BruxellesBrusselsBelgium
  4. 4.Instituto PluridisciplinarUniversidad ComplutenseMadridSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-84882-367-9
  • Copyright Information Springer-Verlag London Limited 2012
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-84882-366-2
  • Online ISBN 978-1-84882-367-9
  • Series Print ISSN 0066-5452
  • About this book