Topics in fluid mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1993
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 320 S. Ill., graph. Darst. |
| ISBN: | 0521410827 0521422728 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV009533610 | ||
| 003 | DE-604 | ||
| 005 | 19971013 | ||
| 007 | t | ||
| 008 | 940415s1993 ad|| |||| 00||| eng d | ||
| 020 | |a 0521410827 |9 0-521-41082-7 | ||
| 020 | |a 0521422728 |9 0-521-42272-8 | ||
| 035 | |a (OCoLC)25712862 | ||
| 035 | |a (DE-599)BVBBV009533610 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-91G |a DE-91 |a DE-Aug4 |a DE-703 |a DE-526 | ||
| 050 | 0 | |a QA901 | |
| 082 | 0 | |a 532 |2 20 | |
| 084 | |a UF 4000 |0 (DE-625)145577: |2 rvk | ||
| 084 | |a PHY 220f |2 stub | ||
| 084 | |a MTA 300f |2 stub | ||
| 100 | 1 | |a Chevray, Rene |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Topics in fluid mechanics |c Rene Chevray ; Jean Mathieu |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 1993 | |
| 300 | |a XV, 320 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Advection | |
| 650 | 4 | |a Chaos | |
| 650 | 4 | |a Chaos turbulent | |
| 650 | 4 | |a Dynamique | |
| 650 | 7 | |a Fluides, Mécanique des |2 ram | |
| 650 | 4 | |a Mécanique fluide | |
| 650 | 4 | |a Physique mathématique | |
| 650 | 4 | |a Propagation | |
| 650 | 4 | |a Thermodynamique | |
| 650 | 4 | |a Théorie mathématique | |
| 650 | 4 | |a Tourbillon | |
| 650 | 4 | |a Turbulence | |
| 650 | 4 | |a Vecteur | |
| 650 | 4 | |a Fluid mechanics | |
| 650 | 0 | 7 | |a Hydromechanik |0 (DE-588)4026312-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Strömungsmechanik |0 (DE-588)4077970-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Hydromechanik |0 (DE-588)4026312-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Strömungsmechanik |0 (DE-588)4077970-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Mathieu, Jean |e Verfasser |4 aut | |
| 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=006295465&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-006295465 | ||
Record in the Search Index
| _version_ | 1804123871133040640 |
|---|---|
| adam_text | Contents
Preface page ix
Notation xiii
1 Basic Concepts 1
1.1 Continuum 1
1.2 Description of fluid motion 1
1.3 Pathlines, streaklines, and streamlines 3
1.4 Example of flow lines 4
1.5 Visualization of streamlines, pathlines, and streaklines 6
1.6 Basic equations for an inviscid fluid 7
2 Toward a Constitutive Law for Fluid Materials 13
2.1 Introduction 13
2.2 Volume forces and surface forces acting on a fluid 13
2.3 Representation of surface forces by the stress tensor 14
2.4 The equations of motion 19
2.5 Preliminary remarks on the internal properties of
continuous media 21
2.6 The Navier Stokes equations 25
2.7 Generalized Newtonian fluids 31
2.8 Memory effects 34
2.9 Influence of scaling on the description of a
physical phenomenon 40
3 Vorticity Laws 45
3.1 Introduction 45
3.2 Crocco s theorem 46
3.3 Basic equations 47
3.4 The vorticity flux across a closed surface is null 51
3.5 Three theorems on the development of vortex lines 54
3.6 The velocity field deduced from the vorticity field 61
3.7 Implications of the vortex theory in complex
computations 66
v
vi Contents
4 Fundamental Concepts of Turbulence 77
4.1 Introduction 77
4.2 A statistical approach to turbulent flow 81
4.3 The scaling of turbulence 90
4.4 Global behavior of turbulent boundary layers 101
4.5 The concept of boundary layer in turbulent flows:
Case of the free jet 112
5 Dynamical Systems and Chaotic Advection 121
5.1 Introduction 121
5.2 Dynamical systems 122
5.3 Quantifying chaos 126
5.4 Strange attractors and the Lorenz system 131
5.5 Chaos in fluids 133
6 Chaos and the Onset of Turbulence 141
6.1 Hamiltorian systems and dissipative systems 141
6.2 Routes to turbulence 142
6.3 Routes to chaos 144
6.4 Chaos quantification 149
6.5 Application to fluid mechanics 155
7 Boundary Layer Theory 163
7.1 Some general remarks 163
7.2 Introduction to development of flow with vorticity 164
7.3 Boundary layer approximation 167
7.4 The mathematical structure of the equations 170
7.5 An introduction to singular perturbation 175
7.6 The boundary layer equations 180
7.7 Coupled phenomena 192
7.8 Combustion problems in fluid mechanics 198
7.9 Three dimensional boundary layers 207
8 Wave Propagation 211
8.1 Introduction 211
8.2 Sound waves 212
8.3 Surface disturbances and wave speed 215
8.4 Internal waves 218
8.5 Pressure wave in an elastic duct 224
8.6 Alfven waves 226
8.7 Wave scattering due to turbulence 233
8.8 Waves of finite amplitude 238
Contents vii
9 Fundamentals of Classical Thermodynamics 241
9.1 Introduction 241
9.2 The first law of thermodynamics 246
9.3 The second law of thermodynamics 253
9.4 The energy equation at a point 263
Appendixes 273
A The concept of objective time derivatives 275
B Partial differential equations of mathematical physics 281
C Perturbation theory 301
Index 319
|
| any_adam_object | 1 |
| author | Chevray, Rene Mathieu, Jean |
| author_facet | Chevray, Rene Mathieu, Jean |
| author_role | aut aut |
| author_sort | Chevray, Rene |
| author_variant | r c rc j m jm |
| building | Verbundindex |
| bvnumber | BV009533610 |
| callnumber-first | Q - Science |
| callnumber-label | QA901 |
| callnumber-raw | QA901 |
| callnumber-search | QA901 |
| callnumber-sort | QA 3901 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | UF 4000 |
| classification_tum | PHY 220f MTA 300f |
| ctrlnum | (OCoLC)25712862 (DE-599)BVBBV009533610 |
| dewey-full | 532 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532 |
| dewey-search | 532 |
| dewey-sort | 3532 |
| 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>02001nam a2200601 c 4500</leader><controlfield tag="001">BV009533610</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">19971013 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">940415s1993 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521410827</subfield><subfield code="9">0-521-41082-7</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521422728</subfield><subfield code="9">0-521-42272-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)25712862</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV009533610</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-Aug4</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-526</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA901</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">532</subfield><subfield code="2">20</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="084" ind1=" " ind2=" "><subfield code="a">PHY 220f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MTA 300f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Chevray, Rene</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Topics in fluid mechanics</subfield><subfield code="c">Rene Chevray ; Jean Mathieu</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">1993</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XV, 320 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="650" ind1=" " ind2="4"><subfield code="a">Advection</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chaos</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Chaos turbulent</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamique</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Fluides, Mécanique des</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mécanique fluide</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Physique mathématique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Propagation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Thermodynamique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie mathématique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Tourbillon</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Turbulence</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Vecteur</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fluid mechanics</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Hydromechanik</subfield><subfield code="0">(DE-588)4026312-5</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="689" ind1="0" ind2="0"><subfield code="a">Hydromechanik</subfield><subfield code="0">(DE-588)4026312-5</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=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Mathieu, Jean</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</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=006295465&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:BVB01-006295465</subfield></datafield></record></collection> |
| id | DE-604.BV009533610 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:36:39Z |
| institution | BVB |
| isbn | 0521410827 0521422728 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006295465 |
| oclc_num | 25712862 |
| open_access_boolean | |
| owner | DE-384 DE-91G DE-BY-TUM DE-91 DE-BY-TUM DE-Aug4 DE-703 DE-526 |
| owner_facet | DE-384 DE-91G DE-BY-TUM DE-91 DE-BY-TUM DE-Aug4 DE-703 DE-526 |
| physical | XV, 320 S. Ill., graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Chevray, Rene Verfasser aut Topics in fluid mechanics Rene Chevray ; Jean Mathieu 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1993 XV, 320 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Advection Chaos Chaos turbulent Dynamique Fluides, Mécanique des ram Mécanique fluide Physique mathématique Propagation Thermodynamique Théorie mathématique Tourbillon Turbulence Vecteur Fluid mechanics Hydromechanik (DE-588)4026312-5 gnd rswk-swf Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Hydromechanik (DE-588)4026312-5 s DE-604 Strömungsmechanik (DE-588)4077970-1 s Mathieu, Jean Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006295465&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chevray, Rene Mathieu, Jean Topics in fluid mechanics Advection Chaos Chaos turbulent Dynamique Fluides, Mécanique des ram Mécanique fluide Physique mathématique Propagation Thermodynamique Théorie mathématique Tourbillon Turbulence Vecteur Fluid mechanics Hydromechanik (DE-588)4026312-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| subject_GND | (DE-588)4026312-5 (DE-588)4077970-1 |
| title | Topics in fluid mechanics |
| title_auth | Topics in fluid mechanics |
| title_exact_search | Topics in fluid mechanics |
| title_full | Topics in fluid mechanics Rene Chevray ; Jean Mathieu |
| title_fullStr | Topics in fluid mechanics Rene Chevray ; Jean Mathieu |
| title_full_unstemmed | Topics in fluid mechanics Rene Chevray ; Jean Mathieu |
| title_short | Topics in fluid mechanics |
| title_sort | topics in fluid mechanics |
| topic | Advection Chaos Chaos turbulent Dynamique Fluides, Mécanique des ram Mécanique fluide Physique mathématique Propagation Thermodynamique Théorie mathématique Tourbillon Turbulence Vecteur Fluid mechanics Hydromechanik (DE-588)4026312-5 gnd Strömungsmechanik (DE-588)4077970-1 gnd |
| topic_facet | Advection Chaos Chaos turbulent Dynamique Fluides, Mécanique des Mécanique fluide Physique mathématique Propagation Thermodynamique Théorie mathématique Tourbillon Turbulence Vecteur Fluid mechanics Hydromechanik Strömungsmechanik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006295465&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT chevrayrene topicsinfluidmechanics AT mathieujean topicsinfluidmechanics |