An informal introduction to turbulence:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
2001
|
| Series: | Fluid mechanics and its applications
63 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 324 S. Ill., graph. Darst. |
| ISBN: | 140200110X |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV014100947 | ||
| 003 | DE-604 | ||
| 005 | 20020305 | ||
| 007 | t | ||
| 008 | 020117s2001 ad|| |||| 00||| eng d | ||
| 020 | |a 140200110X |9 1-4020-0110-X | ||
| 035 | |a (OCoLC)48038208 | ||
| 035 | |a (DE-599)BVBBV014100947 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-634 | ||
| 050 | 0 | |a QA913 | |
| 082 | 0 | |a 532/.0527 |2 21 | |
| 084 | |a UF 4300 |0 (DE-625)145584: |2 rvk | ||
| 100 | 1 | |a Tsinober, Arkady |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a An informal introduction to turbulence |c by Arkady Tsinober |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer Acad. Publ. |c 2001 | |
| 300 | |a XVI, 324 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fluid mechanics and its applications |v 63 | |
| 650 | 4 | |a Turbulence | |
| 650 | 0 | 7 | |a Turbulente Strömung |0 (DE-588)4117265-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Turbulente Strömung |0 (DE-588)4117265-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Fluid mechanics and its applications |v 63 |w (DE-604)BV035417894 |9 63 | |
| 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=009659114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009659114 | ||
Record in the Search Index
| _version_ | 1804128966336839680 |
|---|---|
| adam_text | TABLE OF CONTENTS
1 INTRODUCTION 1
1.1 Brief history 1
1.2 Nature and major qualitative universal features of turbulent
flows 2
1.2.1 Representative examples of turbulent flows 2
1.2.2 In lieu of definition: major qualitative universal fea¬
tures of turbulent flows 15
1.3 Why turbulence is so impossibly difficult? The three N s . . 19
1.3.1 On the Navier-Stokes equations 19
1.3.2 On the nature of the problem 21
1.3.3 Nonlinearity 22
1.3.4 Noninegrability 22
1.3.5 Nonlocality 23
1.3.6 On physics of turbulence 24
1.3.7 On statistical theories 24
1.4 Outline of the following material 25
1.5 In lieu of summary 26
2 ORIGINS OF TURBULENCE 27
2.1 Instability 27
2.2 Transition to turbulence versus routes to chaos 29
2.3 Many ways of creating turbulent flows 31
2.4 Summary 32
3 METHODS OF DESCRIBING OF TURBULENT FLOWS 33
3.1 Deterministic versus random/stochastic or how statistical
is turbulence? 34
3.2 On statistical theories, reduced (low dimensional) represent¬
ations and related matters 37
3.3 Turbulence versus deterministic chaos 40
3.4 Statistical methods of looking at the data only? Or what
kind of statistics one needs? 41
viii TABLE OF CONTENTS
3.5 Decompositions/representations 43
3.6 Summary 45
4 KINEMATICS 47
4.1 Passive objects in random fluid flows 47
4.1.1 Geometrical statistics 53
4.2 Kinematic/Lagrangian chaos/advection 56
4.3 On the relation between Eulerian and Lagrangian fields . . 59
4.4 On analogies and relations between passive and active fields 60
4.5 Summary 62
5 PHENOMENOLOGY 65
5.1 Introductory notes 65
5.2 Kolmogorov phenomenology and related subjects 66
5.3 Cascade 73
5.3.1 Introduction 73
5.3.2 Is there cascade in physical space? 74
5.4 What are the small scales in turbulent flows? 77
5.5 Cascade of passive objects? 80
5.6 Summary 81
6 DYNAMICS 83
6.1 Introduction 83
6.2 Why velocity derivatives? 85
6.2.1 Vortex stretching and enstrophy production 86
6.2.2 Why strain too? 89
6.3 Self-amplification of the field of velocity derivatives 92
6.4 Geometrical statistics 98
6.4.1 Alignments 100
6.4.2 The geometry of vortex stretching 101
6.5 Depression of nonlinearity 113
6.5.1 Relative depression of nonlinearity in regions with
concentrated vorticity 114
6.5.2 Are regions of concentrated vorticity quasionedimen-
sional? 115
6.6 Nonlocality 118
6.6.1 Introduction and simple examples 118
6.6.2 Different aspects of nonlocality 121
6.7 Acceleration and related matters 130
6.7.1 The relation between the total acceleration and its
local and convective components 131
TABLE OF CONTENTS ix
6.7.2 The relation between the total acceleration and its
irrotational and solenoidal components 135
6.7.3 Scale dependence 137
6.7.4 Kinematical versus dynamical effects 139
6.8 Non-Gaussian nature of turbulence 140
6.8.1 Odd moments 141
6.8.2 Quasi-Gaussian manifestations 143
6.8.3 Irreversibility of turbulence 147
6.9 Summary 148
7 STRUCTURE(S) OF TURBULENT FLOWS 151
7.1 Introduction 151
7.2 Intermittency 152
7.2.1 What is small scale intermittency? 153
7.2.2 Measures/manifestations of intermittency 154
7.2.3 On possible origins of small scale intermittency . . . 162
7.3 What is(are) structure(s) of turbulent flows? 165
7.3.1 On the origins of structure(s) of/in turbulence . . . 165
7.3.2 How does the structure of turbulence look ? .... 168
7.3.3 Structure versus statistics 170
7.3.4 Examples of statistics weakly sensitive to structure(s) 173
7.3.5 Structure sensitive statistics 174
7.4 Which quantities possess structure in turbulence and how to
dig them out? 176
7.4.1 Structure(s) versus scales and decompositions .... 177
7.5 Summary 178
8 TURBULENCE UNDER VARIOUS INFLUENCES AND
PHYSICAL CIRCUMSTANCES 181
8.1 Introduction 181
8.2 Shear flows 183
8.3 Partly turbulent flows - entrainment 192
8.4 Variable density 196
8.4.1 Convection 196
8.4.2 Stable stratification 199
8.4.3 Compressible flows 203
8.5 Rotation 203
8.5.1 Helicity 206
8.6 Negative eddy viscosity phenomena 206
8.6.1 Laboratory experiments 207
8.6.2 Examples from geophysics 210
8.6.3 Possible explanations 211
x TABLE OF CONTENTS
8.7 Magnetohydrodynamic flows 211
8.8 Two-dimensional turbulence 214
8.8.1 Pure two-dimensional versus quasi-two-dimensional . 216
8.8.2 Some additional differences between two-dimensional
and three-dimensional turbulence 218
8.9 Additives 220
9 CONCLUSION/CLOSE 227
9.1 Universality 227
9.1.1 On universal aspects of turbulence structure 228
9.1.2 Reynolds number dependence 230
9.1.3 Self-amplification of velocity derivatives 232
9.1.4 Depression of nonlinearity 233
9.2 Some mathematical and related aspects 233
9.3 On the goals of basic research in turbulence 235
10 APPENDIX A. WHAT IS TURBULENCE? 237
11 APPENDIX B. ABOUT THE SNAGS OF THE PROB¬
LEM 243
12 APPENDIX C. GLOSSARY OF ESSENTIAL FLUID MECH¬
ANICS 247
12.1 Kinematics 247
12.2 Dynamics 248
12.2.1 Basic equations and their consequences 248
12.2.2 Some additional consequences from the NSE and
invariant quantities 254
12.2.3 Symmetries of Euler and Navier-Stokes equations . . 256
12.3 Passive objects 257
12.3.1 Passive scalars 257
12.3.2 Passive vectors 257
12.4 Some basic relations for the statistical description of turbu¬
lent flows 259
12.4.1 Scaling, scales and related matters 260
12.4.2 Reynolds averaged Navier-Stokes equations and related263
12.4.3 Filter decomposition 266
12.4.4 Equations governing the dynamics of error 267
13 APPENDIX D. IT IS A MISCONCEPTION THAT 269
TABLE OF CONTENTS xi
14 APPENDIX E. ON METHODS OF STUDING TURBU¬
LENT FLOWS 271
14.1 Direct numerical simulations of the Navier-Stokes equations 271
14.2 Physical experiments 272
15 APPENDIX F. GLOSSARY OF SOME TERMS 275
15 BIBLIOGRAPHY 277
16 AUTHOR INDEX 313
17 SUBJECT INDEX 321
|
| any_adam_object | 1 |
| author | Tsinober, Arkady |
| author_facet | Tsinober, Arkady |
| author_role | aut |
| author_sort | Tsinober, Arkady |
| author_variant | a t at |
| building | Verbundindex |
| bvnumber | BV014100947 |
| callnumber-first | Q - Science |
| callnumber-label | QA913 |
| callnumber-raw | QA913 |
| callnumber-search | QA913 |
| callnumber-sort | QA 3913 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 4300 |
| ctrlnum | (OCoLC)48038208 (DE-599)BVBBV014100947 |
| dewey-full | 532/.0527 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.0527 |
| dewey-search | 532/.0527 |
| dewey-sort | 3532 3527 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01406nam a2200373 cb4500</leader><controlfield tag="001">BV014100947</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20020305 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">020117s2001 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">140200110X</subfield><subfield code="9">1-4020-0110-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)48038208</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV014100947</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-703</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA913</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532/.0527</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UF 4300</subfield><subfield code="0">(DE-625)145584:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Tsinober, Arkady</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">An informal introduction to turbulence</subfield><subfield code="c">by Arkady Tsinober</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Dordrecht [u.a.]</subfield><subfield code="b">Kluwer Acad. Publ.</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVI, 324 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="1" ind2=" "><subfield code="a">Fluid mechanics and its applications</subfield><subfield code="v">63</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Turbulence</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Turbulente Strömung</subfield><subfield code="0">(DE-588)4117265-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Fluid mechanics and its applications</subfield><subfield code="v">63</subfield><subfield code="w">(DE-604)BV035417894</subfield><subfield code="9">63</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=009659114&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:BVB01-009659114</subfield></datafield></record></collection> |
| id | DE-604.BV014100947 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:57:38Z |
| institution | BVB |
| isbn | 140200110X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009659114 |
| oclc_num | 48038208 |
| open_access_boolean | |
| owner | DE-703 DE-634 |
| owner_facet | DE-703 DE-634 |
| physical | XVI, 324 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Kluwer Acad. Publ. |
| record_format | marc |
| series | Fluid mechanics and its applications |
| series2 | Fluid mechanics and its applications |
| spelling | Tsinober, Arkady Verfasser aut An informal introduction to turbulence by Arkady Tsinober Dordrecht [u.a.] Kluwer Acad. Publ. 2001 XVI, 324 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fluid mechanics and its applications 63 Turbulence Turbulente Strömung (DE-588)4117265-6 gnd rswk-swf Turbulente Strömung (DE-588)4117265-6 s DE-604 Fluid mechanics and its applications 63 (DE-604)BV035417894 63 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009659114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tsinober, Arkady An informal introduction to turbulence Fluid mechanics and its applications Turbulence Turbulente Strömung (DE-588)4117265-6 gnd |
| subject_GND | (DE-588)4117265-6 |
| title | An informal introduction to turbulence |
| title_auth | An informal introduction to turbulence |
| title_exact_search | An informal introduction to turbulence |
| title_full | An informal introduction to turbulence by Arkady Tsinober |
| title_fullStr | An informal introduction to turbulence by Arkady Tsinober |
| title_full_unstemmed | An informal introduction to turbulence by Arkady Tsinober |
| title_short | An informal introduction to turbulence |
| title_sort | an informal introduction to turbulence |
| topic | Turbulence Turbulente Strömung (DE-588)4117265-6 gnd |
| topic_facet | Turbulence Turbulente Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009659114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035417894 |
| work_keys_str_mv | AT tsinoberarkady aninformalintroductiontoturbulence |