Hydrodynamic instabilities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge texts in applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 391 S. Ill., graph. Darst. |
| ISBN: | 9780521143516 9780521769266 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV037257276 | ||
| 003 | DE-604 | ||
| 005 | 20141022 | ||
| 007 | t | ||
| 008 | 110822s2011 ad|| |||| 00||| eng d | ||
| 020 | |a 9780521143516 |c pbk. |9 978-0-521-14351-6 | ||
| 020 | |a 9780521769266 |c hbk. |9 978-0-521-76926-6 | ||
| 035 | |a (OCoLC)740971196 | ||
| 035 | |a (DE-599)BVBBV037257276 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-11 |a DE-634 |a DE-703 |a DE-19 | ||
| 082 | 0 | |a 532.5 | |
| 084 | |a UF 4000 |0 (DE-625)145577: |2 rvk | ||
| 100 | 1 | |a Charru, François |e Verfasser |0 (DE-588)1023583852 |4 aut | |
| 240 | 1 | 0 | |a Instabilités hydrodynamiques |
| 245 | 1 | 0 | |a Hydrodynamic instabilities |c François Charru |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2011 | |
| 300 | |a XVIII, 391 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge texts in applied mathematics | |
| 650 | 0 | 7 | |a Hydrodynamik |0 (DE-588)4026302-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Strömungsmechanik |0 (DE-588)4077970-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Instabilität |0 (DE-588)4139195-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hydrodynamik |0 (DE-588)4026302-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Strömungsmechanik |0 (DE-588)4077970-1 |D s |
| 689 | 1 | 1 | |a Instabilität |0 (DE-588)4139195-0 |D s |
| 689 | 1 | |8 1\p |5 DE-604 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-024390129 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804148352997130240 |
|---|---|
| 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
|
| any_adam_object | 1 |
| author | Charru, François |
| author_GND | (DE-588)1023583852 |
| author_facet | Charru, François |
| author_role | aut |
| author_sort | Charru, François |
| author_variant | f c fc |
| building | Verbundindex |
| bvnumber | BV037257276 |
| classification_rvk | UF 4000 |
| ctrlnum | (OCoLC)740971196 (DE-599)BVBBV037257276 |
| dewey-full | 532.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532.5 |
| dewey-search | 532.5 |
| dewey-sort | 3532.5 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01767nam a2200445 c 4500</leader><controlfield tag="001">BV037257276</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20141022 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">110822s2011 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521143516</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-0-521-14351-6</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521769266</subfield><subfield code="c">hbk.</subfield><subfield code="9">978-0-521-76926-6</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)740971196</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV037257276</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-11</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532.5</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 4000</subfield><subfield code="0">(DE-625)145577:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Charru, François</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1023583852</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Instabilités hydrodynamiques</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Hydrodynamic instabilities</subfield><subfield code="c">François Charru</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2011</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 391 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Cambridge texts in applied mathematics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hydrodynamik</subfield><subfield code="0">(DE-588)4026302-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Instabilität</subfield><subfield code="0">(DE-588)4139195-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Hydrodynamik</subfield><subfield code="0">(DE-588)4026302-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Strömungsmechanik</subfield><subfield code="0">(DE-588)4077970-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Instabilität</subfield><subfield code="0">(DE-588)4139195-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-024390129</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| id | DE-604.BV037257276 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:05:47Z |
| institution | BVB |
| isbn | 9780521143516 9780521769266 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024390129 |
| oclc_num | 740971196 |
| open_access_boolean | |
| owner | DE-11 DE-634 DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-11 DE-634 DE-703 DE-19 DE-BY-UBM |
| physical | XVIII, 391 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| 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 |
| url | 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 |
| work_keys_str_mv | AT charrufrancois instabiliteshydrodynamiques AT charrufrancois hydrodynamicinstabilities |