Keywords:
Nonlinear mechanics.
;
Electronic books.
Description / Table of Contents:
Addressing a hugely diverse range of topics, both fundamental and applied, this anthology of papers from leading researchers in non-linear and complex dynamics honors the seminal contributions to the field made by Spanish professor Manual G. Velarde.
Type of Medium:
Online Resource
Pages:
1 online resource (781 pages)
Edition:
1st ed.
ISBN:
9783642340703
Series Statement:
Understanding Complex Systems Series
URL:
https://ebookcentral.proquest.com/lib/geomar/detail.action?docID=3091996
DDC:
531
Language:
English
Note:
Intro -- Preface -- Contents -- Part I: Personal Reminiscences -- M.G. Velarde: Succint Biography. Doing Science in Spainas a Maverick -- M.G. Velarde: Highlights of Research Achievements -- Gallery of Portraits and Other Pictures -- Thirteen Years of Collaboration with Manuel on Complexity in Biorobotics and Brain Science -- References -- My Relation with Professor Manuel G. Velarde -- My Scientific and Personal Relation with Manuel G. Velarde -- Manolo García Velarde: Three Relevant Traits of His Multifaceted Persona -- 1 Highly Unusual -- 2 Excessive -- 3 Perseverant -- Reminiscences from an Expatriate Scientist -- An Extraordinary Year of My Life -- Reminiscence of My Time in Manuel's Group at the Instituto Pluridisciplinar -- My Year with Manuel -- Our Adventure with Manuel -- Part II: Scientific Contributions: Flows, Instabilities and Convective Patterns -- A Peculiar Observation Arising from the Stokes Approximation in Certain Closed Flows -- 1 The Stokes Eigen Problem -- 2 Some Computations and Inferences -- References -- Influence of Periodic and Quasi-periodic GravitationalModulation on Convective Instability of Reaction Frontsin Porous Media -- 1 Introduction -- 2 Governing Equations and Linear Stability Analysis -- 2.1 The Model -- 2.2 The Dimensionless Model -- 2.3 Linear Stability Analysis -- 2.4 Approximation of Infinitely Narrow Reaction Zone -- 2.5 Formulation of the Interface Problem -- 2.6 Travelling Wave Solution -- 3 Numerical Results and Discussion -- 3.1 Case of Periodic Vibration -- 3.2 Case of Periodic Vibration with Modulation of Amplitude -- 3.3 Case of Quasi-periodic Modulation -- 4 Summary -- 5 Appendix -- 5.1 The Method of Matched Asymptotic Expansions -- 5.2 Simple Example -- References -- Genesis of Bénard-Marangoni Patterns in Thin Liquid Films Drying into Air -- 1 Introduction.
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2 Experimental Set-Up and Procedures -- 3 Preliminary Results and Discussions -- 4 Further Conclusions and Perspectives -- References -- Pattern Formation Emerging from Stationary Solutal Marangoni Instability: A Roadmap Through the Underlying Hierarchic Structures -- 1 Introduction -- 2 The Central Theses -- 3 The Building Blocks of Interfacial Convection -- 3.1 Roll Cells -- 3.2 Chaotic Relaxation Oscillations -- 3.3 Synchronized Relaxation Oscillation Waves -- 4 Time-Sequence of Structure Formation -- 5 Outlook -- References -- Observation of the Thermocapillary Motion of a Dropletin a Laser Beam -- 1 Introduction -- 2 Experimental Methodology -- 3 Results and Discussion -- 4 Conclusions -- References -- Influence of Heat Flux Modulation on Thermocapillary Instability in a Binary Mixture with the Soret Effect -- 1 Introduction -- 2 Problem Statement and Governing Equations -- 3 Longwave Approximation -- 4 Shortwave Instabilities -- 5 Conclusions -- References -- Onset of Stationary Flows of a Cohesive Granular Materialin a Channel -- 1 Introduction -- 2 Liminary Results -- 2.1 Set of Equations -- 2.2 Constant Coefficient of Friction -- 2.3 Flow for μ = Constant -- 2.3.1 Iso-velocity Attaining the Free Surface -- 2.3.2 Rough Lateral Walls -- 2.3.3 Smooth Lateral Walls -- 3 Flow for a Non Constant Coefficient of Friction -- 4 Weak and High Cohesions -- 5 Conclusions -- References -- Part III: Scientific Contributions: Interfacial Phenomena, Wetting and Spreading Problems -- Thermography Applied to Interfacial Phenomena, Potentials and Pitfalls -- 1 Introduction -- 2 Radiation and Heat Transfer Theory -- 3 Example of Applications: Evaporating and Boiling Liquids -- 4 Evaporating Droplets -- 5 Boiling and Two-Phase Flows in Micro-Channels -- 6 Conclusions -- References -- Shear Rheology of Interfaces: Micro Rheological Methods -- 1 Introduction.
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2 Experimental Techniques -- 2.1 Fundamentals of Video Microscopy Particle Tracking -- 2.2 Fundamentals of the Optical Tweezers Technique -- 3 Dynamics of Particles at Interfaces -- 3.1 Diffusion Coefficient of Particles Adsorbed at Fluid Interfaces -- 3.2 Fischer's Theory for the Shear Micro-Rheology of Monolayers at Fluid Interfaces -- 4 Particle Tracking Results -- 5 Conclusions -- References -- Cohesive and Non-cohesive Adsorption of Surfactantsat Liquid Interfaces -- 1 Introduction -- 2 Henry's Adsorption Constant, Adsorption Energy and Thickness -- 2.1 Henry's Adsorption Isotherm -- 2.2 Geometry of a Surfactant Molecule -- 2.3 Interaction Potential of a Surfactant Molecule with the Interface -- 2.4 Partition Functions of a Surfactant Molecule at the Interface -- 3 Cohesive and Non-cohesive Adsorption of Surfactants -- 3.1 Non-cohesive Adsorption and Helfand-Frisch-Lebowitz Model -- 3.2 Cohesive Adsorption: Phenomenological Relations -- 3.3 Processing of Experimental Data -- 4 Analysis of the Experimental Data for the Cohesive Pressure πcoh and the Adsorption Constant Ka -- 4.1 The Cohesive Pressure πcoh -- 4.2 Effect of the Surfactant Structure on the Adsorption Constant Ka -- 4.3 Temperature Dependence of the Adsorption -- 5 Conclusions -- References -- Surface Wetting: From a Phenomenon to an Important Analytical Tool -- 1 Theoretical Concepts of Wetting -- 1.1 Surface Tension and Surface Energy -- 1.2 Young Equation -- 1.3 Adsorbed Water Film -- 1.4 Work of Adhesion -- 1.5 Critical Surface Tension -- 1.6 Fowkes and Good Theories -- 2 Contact Angle Measurements -- 2.1 Quasi-static Contact Angle Measurements -- 2.2 Dynamic Wetting Measurements -- 3 Wetting Measurement in Technological Applications -- 3.1 Fibre Wetting in Composite Processing -- 3.2 Wetting Studies on Human Hair -- 3.3 Wetting Measurements in Textile Characterization.
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3.4 Wettability of Engineered Nanoparticles -- References -- Wetting Transition and Line Tension of Oil on Water -- 1 Introduction -- 2 Free Energy Profile Approach to Thin Liquid Film Formation -- 3 Wetting of Alkane on Water -- 4 Freezing Transition of Wetting Film -- 5 Relation Between Wetting Transition and Line Tension -- 6 Line Tension at Wetting Transition -- 7 Conclusion -- References -- Dynamics of a Complete Wetting Liquid Under Evaporation -- 1 Introduction -- 2 Low Constant Speed Model -- 3 Evaporating Sessile Droplet -- 4 Conclusion -- References -- Evaporation of Sessile Droplets of Liquid on Solid Substrates -- 1 Introduction -- 2 Stages of Sessile Droplet Evaporation -- 3 Dependence of Evaporation Flux on the Droplet Size -- 4 Distribution of Evaporation Flux at the Droplet Surface -- 5 Thermal Marangoni Convection -- 6 Influence of Heat Conductivity -- 7 Ring-Like Stain Formation -- 8 Complete Wetting -- 9 Partial Wetting and Contact Angle Hysteresis -- 10 Kelvin's and Kinetic Effects -- 11 Derjaguin's (Disjoining/Conjoining) Pressure -- References -- Superspreading: Role of the Substrate Surface Energy -- 1 Introduction -- 2 Surface Activity of Superspreader Silwet L77: Data Analyses -- 3 Superspreading: Concepts and Models -- 4 Modeling Spreading vs. Substrate Wettability -- 5 Conclusions -- References -- Part IV: Scientific Contributions: Waves and Solitons, and Other Collective Excitations -- Coupled Korteweg-de Vries Equations -- 1 Introduction -- 2 Derivation -- 2.1 Formulation -- 2.2 Coupled Modes -- 3 Asymptotic Expansion -- 4 Interacting Solitary Waves -- 5 Summary -- Appendix -- References -- Water Waves and Time Arrows in Conservative Continuum Physics -- 1 Introduction -- 2 Eulerian Equations of Nonlinear Water Waves -- 3 Time Arrow in Nonlinear Wave Breaking -- 4 Time Arrow in Nonlinear Merging of Bores.
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5 Time Arrow in a Cauchy-Poisson Problem -- 6 A Radiation Condition Posing a Time Arrow -- 7 Time Arrows of Resonance and Instabilities -- 8 Time Arrow of Spiral Water Waves -- 9 Time Arrow of the Impulsive Time Scale -- 10 Conclusions -- References -- Surface Wave Damping -- 1 Introduction -- 2 Early Developments -- 3 Isolating Effects -- 4 New Experiments on Millimetric Liquid Bridges -- 5 Consequences on the Surface Wave Dynamics -- 6 Concluding Remarks -- References -- Shadowgraph Contrast of Internal Wave Trains During Absorption -- 1 Introduction -- 2 Experimental System and Methods -- 3 Results and Conclusions -- References -- Formation of Mach-Stems on Shock Fronts and Cellular Detonations -- 1 Introduction -- 2 Stability Analysis of Shock Waves -- 2.1 Formulation -- 2.2 Pressure and Entropy-Vorticity Waves -- 2.3 Compatibility Condition -- 2.4 Boundary Conditions at the Shock -- 2.5 General Case -- 2.6 Polytropic Gases -- 2.6.1 Neutral Modes -- 2.6.2 Non-radiating Condition -- 3 Weakly Nonlinear Analysis -- 3.1 Strong Shocks in the Newtonian Limit -- 3.2 Perturbation Method -- 3.2.1 Isobaric Approximation -- 3.2.2 Compatibility Condition -- 3.3 Result for Simple Waves -- 3.3.1 Isobaric Analysis -- 3.3.2 Validity of the Isobaric Approximation -- 3.3.3 Burgers Equation -- 4 Conclusion -- Appendix 1 -- Appendix 2 -- Appendix 3 -- References -- Cavity Solitons -- 1 Introduction -- 2 The Main Properties of Cavity Solitons -- 3 Cavity Soliton Laser and Cavity Soliton Billiard -- References -- Three-Wave Backward Optical Solitons -- 1 Introduction -- 2 Three-Wave Model and Analytical Solitary-Wave Solutions -- 2.1 Solitary Wave Solution -- 3 Self-pulsing in a Backward Doubly Resonant OPO -- 3.1 Inhomogeneous Stationary Solutions -- 3.2 Stability Analysis of the Inhomogeneous Stationary Solutions -- 3.2.1 Absence of Walk-Off.
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3.2.2 Finite Temporal Walk-Off.
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