Waves on Fluid Interfaces
eBook - PDF

Waves on Fluid Interfaces

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 18–20, 1982

  1. 370 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Waves on Fluid Interfaces

Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison, October 18–20, 1982

Book details
Table of contents
Citations

About This Book

Mathematics Research Center Symposium: Waves on Fluid Interfaces covers the proceedings of a symposium conducted by the Mathematics Research Center of the University of Wisconsin-Madison on October 18-20, 1982. The book focuses on nonlinear instabilities of classical interfaces, physical structure of real interfaces, and the challenges these reactions pose to the understanding of fluids. The selection first elaborates on finite-amplitude interfacial waves, instability of finite-amplitude interfacial waves, and finite-amplitude water waves with surface tension. Discussions focus on reformulation as an integro-differential equation, perturbation solutions, results for interfacial waves with current jump, wave of zero height, weakly nonlinear waves, and numerical methods. The text then takes a look at generalized vortex methods for free-surface flows; a review of solution methods for viscous flow in the presence of deformable boundaries; and existence criteria for fluid interfaces in the absence of gravity. The book ponders on the endothelial interface between tissue and blood, moving contact line, rupture of thin liquid films, film waves, and interfacial instabilities caused by air flow over a thin liquid layer. Topics include stability analysis of liquid film, interpretation of film instabilities, simple film, linear stability theory, inadequacy of the usual hydrodynamic model, and marcomolecule transport across the artery wall. The selection is a valuable source of data for researchers interested in the reactions of waves on fluid interfaces.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483265148
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Waves on Fluid Interfaces
  3. Copyright Page
  4. Table of Contents
  5. SENIOR CONTRIBUTORS
  6. PREFACE
  7. CHAPTER 1. FINITE-AMPLITUDE INTERFACIAL WAVES
  8. CHAPTER 2. INSTABILITY OF FINITE-AMPLITUDE INTERFACIAL WAVES
  9. CHAPTER 3. FINITE-AMPLITUDE WATER WAVES WITH SURFACE TENSION
  10. CHAPTER 4. GENERALIZED VORTEX METHODS FOR FREE-SURFACE FLOWS
  11. CHAPTER 5. A REVIEW OF SOLUTION METHODS FOR VISCOUS FLOW IN THE PRESENCE OF DEFORMABLE BOUNDARIES
  12. CHAPTER 6. ON EXISTENCE CRITERIA FOR FLUID INTERFACES IN THE ABSENCE OF GRAVITY
  13. CHAPTER 7. CAPILLARY WAVES AND INTERFACIAL STRUCTURE
  14. CHAPTER 8. INTERFACIAL AND CRITICAL PHENOMENA IN MICROEMULSIONS
  15. CHAPTER 9. ELECTROHYDRODYNAMIC SURFACE WAVES
  16. CHAPTER 10. SOLITARY WAVES ON DENSITY INTERFACES
  17. CHAPTER 11. INTERFACIAL INSTABILITIES CAUSED BY AIR FLOWOVER A THIN LIQUID LAYER
  18. CHAPTER 12. FILM WAVES
  19. CHAPTER 13. RUPTURE OF THIN LIQUID FILMS
  20. CHAPTER 14. THE MOVING CONTACT LINE
  21. CHAPTER 15. THE ENDOTHELIAL INTERFACE BETWEEN TISSUE AND BLOOD
  22. INDEX