Includes bibliographical references (pages 415-443) and indexes.
CONTENTS NOTE
Text of Note
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