Holdings: Hydrodynamic instabilities

Hydrodynamic instabilities:

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Bibliographic Details
Main Author:	Charru, François (Author)
Format:	Book
Language:	English
Published:	Cambridge [u.a.] Cambridge Univ. Press 2011
Edition:	1. publ.
Series:	Cambridge texts in applied mathematics
Subjects:	Hydrodynamik Strömungsmechanik Instabilität
Online Access:	Inhaltsverzeichnis
Physical Description:	XVIII, 391 S. Ill., graph. Darst.
ISBN:	9780521143516 9780521769266

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adam_text	Titel: Hydrodynamic instabilities Autor: Charru, François Jahr: 2011 Contents Foreword page x Preface xiii Video resources xvi Introduction 1 1.1 Phase space, phase portrait 1 1.2 Stability of a fixed point 2 1.3 Bifurcations 6 1.4 Examples from hydrodynamics 12 1.5 Non-normality of the linearized operator 30 1.6 Exercises 36 Instabilities of fluids at rest 43 2.1 Introduction 43 2.2 The Jeans gravitational instability 44 2.3 The Rayleigh-Taylor interface instability 53 2.4 The Rayleigh-Plateau capillary instability 64 2.5 The Rayleigh-Benard thermal instability 68 2.6 The Benard-Marangoni thermocapillary instability 76 2.7 Discussion 79 2.8 Exercises 80 Stability of open flows: basic ideas 88 3.1 Introduction 88 3.2 A criterion for linear stability 96 3.3 Convective and absolute instabilities 98 3.4 Exercises 102 vu viii Contents 4 Inviscid instability of parallel flows 104 4.1 Introduction 104 4.2 General results 107 4.3 Instability of a mixing layer 116 4.4 The Couette-Taylor centrifugal instability 126 4.5 Exercises 134 5 Viscous instability of parallel flows 139 5.1 Introduction 139 5.2 General results 145 5.3 Plane Poiseuille flow 154 5.4 Poiseuille flow in a pipe 162 5.5 Boundary layer on a flat surface 162 5.6 Exercises 169 6 Instabilities at low Reynolds number 171 6.1 Introduction 171 6.2 Films falling down an inclined plane 174 6.3 Sheared liquid films 193 6.4 Exercises 199 7 Avalanches, ripples, and dunes 201 7.1 Introduction 201 7.2 Avalanches 202 7.3 Sediment transport by a flow 208 7.4 Ripples and dunes: a preliminary dimensional analysis 218 7.5 Subaqueous ripples under a continuous flow 220 7.6 Subaqueous ripples in oscillating flow 230 7.7 Subaqueous dunes 238 7.8 Exercises 244 8 Nonlinear dynamics of systems with few degrees of freedom 246 8.1 Introduction 246 8.2 Nonlinear oscillators 249 8.3 Systems with few degrees of freedom 260 8.4 Illustration: instability of a sheared interface 264 8.5 Exercises 268 9 Nonlinear dispersive waves 274 9.1 Introduction 274 9.2 Instability of gravity waves 275 9.3 Instability due to resonant interactions 279 Contents ix 9.4 Instability to modulations 287 9.5 Resonances revisited 294 9.6 Exercises 295 10 Nonlinear dynamics of dissipative systems 299 10.1 Introduction 299 10.2 Weakly nonlinear dynamics 300 10.3 Saturation of the primary instability 305 10.4 The Eckhaus secondary instability 305 10.5 Instability of a traveling wave 311 10.6 Coupling to a field at large scales 317 10.7 Exercises 323 11 Dynamical systems and bifurcations 326 11.1 Introduction 326 11.2 Phase space and attractors 327 11.3 Linear stability 334 11.4 Invariant manifolds and normal forms 338 11.5 Structural stability and genericity 345 11.6 Bifurcations 351 11.7 Exercises 365 Appendix A: The Saint-Venant equations 369 A.l Outflow from a slice of fluid 369 A.2 Mass conservation 370 A.3 Momentum conservation 371 A.4 Modeling the wall friction 372 A.5 Consistent depth-averaged equations 373 References 375 Index 387
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author	Charru, François
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dewey-search	532.5
dewey-sort	3532.5
dewey-tens	530 - Physics
discipline	Physik
edition	1. publ.
format	Book
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physical	XVIII, 391 S. Ill., graph. Darst.
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series2	Cambridge texts in applied mathematics
spelling	Charru, François Verfasser (DE-588)1023583852 aut Instabilités hydrodynamiques Hydrodynamic instabilities François Charru 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2011 XVIII, 391 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge texts in applied mathematics Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Instabilität (DE-588)4139195-0 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Instabilität (DE-588)4139195-0 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024390129&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Charru, François Hydrodynamic instabilities Hydrodynamik (DE-588)4026302-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd Instabilität (DE-588)4139195-0 gnd
subject_GND	(DE-588)4026302-2 (DE-588)4077970-1 (DE-588)4139195-0
title	Hydrodynamic instabilities
title_alt	Instabilités hydrodynamiques
title_auth	Hydrodynamic instabilities
title_exact_search	Hydrodynamic instabilities
title_full	Hydrodynamic instabilities François Charru
title_fullStr	Hydrodynamic instabilities François Charru
title_full_unstemmed	Hydrodynamic instabilities François Charru
title_short	Hydrodynamic instabilities
title_sort	hydrodynamic instabilities
topic	Hydrodynamik (DE-588)4026302-2 gnd Strömungsmechanik (DE-588)4077970-1 gnd Instabilität (DE-588)4139195-0 gnd
topic_facet	Hydrodynamik Strömungsmechanik Instabilität
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