Capillary Flows with Forming Interfaces

Capillary Flows with Forming Interfaces
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DOI:
10.1201/9781584887492
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发表时间:
2007-09
期刊:
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通讯作者:
Y. Shikhmurzaev
Y. Shikhmurzaev
中科院分区:
其他
文献类型:
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作者:
Y. Shikhmurzaev

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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 INDICES