Capillary Flows with Forming Interfaces
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Capillary Flows with Forming Interfaces

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Capillary Flows with Forming Interfaces explores numerous theoretical problems that arise in the mathematical description of capillary flows. It focuses on developing a unified approach to a variety of seemingly very different capillary flows of practical importance where classical fluid mechanics leads to nonphysical results. The book begins with a review of the conceptual framework of fluid mechanics and then proceeds to analyze the roots of singularities, such as the moving contact-line problem and the capillary breakup problem. The author then examines how different singular flows can be described as particular cases of a general physical phenomenon of interface formation. He illustrates the developed mathematical models and experimentally verifies them through a number of example problems relevant to engineering applications. The conceptual framework provided in this reference enables further progress in developing mathematical models of capillary flows. The book also allows readers to make informed strategic choices regarding available numerical codes and the in-house development of these codes.show more

Product details

  • Hardback | 480 pages
  • 156 x 236 x 24mm | 821g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • New.
  • 131 black & white illustrations, 8 black & white tables
  • 1584887486
  • 9781584887485

About Yulii Damir Shikhmurzaev

University of Birmingham, UKshow more

Table of contents

PREFACE INTRODUCTION Free-surface flows in nature and industry Scope of the book FUNDAMENTALS OF FLUID MECHANICS Main concepts Governing equations Elements of thermodynamics Classical boundary conditions Physically meaningful solutions and paradoxes of modeling MOVING CONTACT LINES: AN OVERVIEW Essence of the problem Experimental observations Molecular dynamics simulations Review of theories The key to the moving contact-line problem BOUNDARY CONDITIONS ON FORMING INTERFACES Modeling of interfaces Conservation laws Liquid-gas and liquid-solid interfaces Liquid-liquid interfaces Summary Open questions and possible generalizations MOVING CONTACT LINES: MATHEMATICAL DESCRIPTION Flow in the immediate vicinity of a moving contact line Dynamic wetting at small capillary numbers De-wetting and re-wetting Comparison with experiments and some estimates Examples: flows in a quasi-static regime Dynamic wetting at finite capillary numbers Liquid-liquid displacement Summary and outstanding modeling issues CUSPS, CORNERS AND COALESCENCE OF DROPS Singularities of free-surface curvature in experiments Conventional modeling "Missing" physics Singularity-free solution: cusp or corner? Coalescence of drops BREAKUP OF JETS AND RUPTURE OF FILMS Background Drop formation: emerging singularity Experiments on capillary pinch-off "Missing" physics and its qualitative verification Axisymmetric capillary pinch-off: singularity-free solution Pinch-off from a molecular viewpoint Rupture of films Summary APPENDIX A: Elements of vector and tensor calculus APPENDIX B: Equations of fluid mechanics in curvilinear coordinates APPENDIX C: Complex representation of biharmonic functions APPENDIX D: Physical properties of some fluids REFERENCES INDICESshow more