Waves and compressible flow:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2004
|
| Series: | Texts in applied mathematics
47 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 188 S. graph. Darst. : 25 cm |
| ISBN: | 038740399X |
Staff View
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Record in the Search Index
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| adam_text | HILARY OCKENDON JOHN R. OCKENDON WAVES AND COMPRESSIBLE FLOW WITH 60
FIGURES SPRINGER CONTENTS THE STARRED SECTIONS ARE SELF-CONTAINED AND
MAY BE OMITTED AT A FIRST READING. SERIES PREFACE V 1 INTRODUCTION 1 2
THE EQUATIONS OF INVISCID COMPRESSIBLE FLOW 5 2.1 THE FIELD EQUATIONS 5
2.2 INITIAL AND BOUNDARY CONDITIONS 13 2.3 VORTICITY AND IRROTATIONALITY
14 2.3.1 HOMENTROPIC FLOW V 14 2.3.2 INCOMPRESSIBLE FLOW 17 EXERCISES 18
3 MODELS FOR LINEAR WAVE PROPAGATION 21 3.1 ACOUSTICS 21 3.2 SURFACE
GRAVITY WAVES IN INCOMPRESSIBLE FLOW 24 3.3 INERTIAL WAVES 26 3.4 WAVES
IN ROTATING INCOMPRESSIBLE FLOWS 29 3.5 ISOTROPIE ELECTROMAGNETIC AND
ELASTIC WAVES 30 EXERCISES 33 4 THEORIES FOR LINEAR WAVES 41 4.1 WAVE
EQUATIONS AND HYPERBOLICITY 41 4.2 FOURIER SERIES, EIGENVALUES, AND
RESONANCE 43 4.3 FOURIER INTEGRALS AND THE METHOD OF STATIONARY PHASE 47
4.4 *DISPERSION AND GROUP VELOCITY 52 4.4.1 DISPERSION RELATIONS 52
4.4.2 OTHER APPROACHES TO GROUP VELOCITY 55 4.5 THE FREQUENCY DOMAIN 57
4.5.1 HOMOGENEOUS MEDIA 57 4.5.2 SCATTERING PROBLEMS IN HOMOGENEOUS
MEDIA 59 CONTENTS 4.5.3 INHOMOGENEOUS MEDIA 62 4.6 STATIONARY WAVES 64
4.6.1 STATIONARY SURFACE WAVES ON A RUNNING STREAM 65 4.6.2 STEADY FLOW
IN SLENDER NOZZLES 66 4.6.3 COMPRESSIBLE FLOW PAST THIN WINGS 68 4.6.4
COMPRESSIBLE FLOW PAST SLENDER BODIES 73 4.7 HIGH-FREQUENCY WAVES 75
4.7.1 THE EIKONAL EQUATION 75 4.7.2 *RAY THEORY 77 4.8 *DIMENSIONALITY
AND THE WAVE EQUATION 81 EXERCISES 84 NONLINEAR WAVES IN FLUIDS 99 5.1
INTRODUCTION 99 5.2 MODELS FOR NONLINEAR WAVES 101 5.2.1 ONE-DIMENSIONAL
UNSTEADY GASDYNAMICS 101 5.2.2 TWO-DIMENSIONAL STEADY HOMENTROPIC
GASDYNAMICS . . . 102 5.2.3 SHALLOW WATER THEORY 104 5.2.4 *NONLINEARITY
AND DISPERSION 106 5.3 SMOOTH SOLUTIONS FOR NONLINEAR WAVES 114 5.3.1
THE PISTON PROBLEM FOR ONE-DIMENSIONAL UNSTEADY GASDYNAMICS 114 5.3.2
PRANDTL-MEYER FLOW 117 5.3.3 THE DAM BREAK PROBLEM V 120 5.4 *THE
HODOGRAPH TRANSFORMATION 121 EXERCISES 123 SHOCK WAVES 135 6.1
DISCONTINUOUS SOLUTIONS 135 6.1.1 INTRODUCTION TO WEAK SOLUTIONS 136
6.1.2 RANKINE-HUGONIOT SHOCK CONDITIONS 142 6.1.3 SHOCKS IN
TWO-DIMENSIONAL STEADY FLOW 144 6.1.4 JUMP CONDITIONS IN SHALLOW WATEF
150 6.2 OTHER FLOWS INVOLVING SHOCK WAVES 153 6.2.1 SHOCK TUBES 153
6.2.2 OBLIQUE SHOCK INTERACTIONS 154 6.2.3 STEADY QUASI-ONE-DIMENSIONAL
GAS FLOW 157 6.2.4 SHOCK WAVES WITH CHEMICAL REACTIONS 159 6.2.5 OPEN
CHANNEL FLOW 160 6.3 *FURTHER LIMITATIONS OF LINEARIZED GASDYNAMICS 162
6.3.1 TRANSONIC FLOW 162 6.3.2 THE FAR FIELD FOR FLOW PAST A THIN WING
163 6.3.3 NON-EQUILIBRIUM EFFECTS 165 6.3.4 HYPERSONIC FLOW 166
EXERCISES 170 CONTENTS IX 7 EPILOGUE 181 REFERENCES 183 INDEX 185
|
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| ctrlnum | (OCoLC)52478469 (DE-599)BVBBV017448525 |
| dewey-full | 532/.0535 |
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| dewey-ones | 532 - Fluid mechanics |
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| id | DE-604.BV017448525 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:18:07Z |
| institution | BVB |
| isbn | 038740399X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010511066 |
| oclc_num | 52478469 |
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| physical | IX, 188 S. graph. Darst. : 25 cm |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Texts in applied mathematics |
| series2 | Texts in applied mathematics |
| spelling | Ockendon, Hilary Verfasser aut Waves and compressible flow Hilary Ockendon ; John R. Ockendon New York [u.a.] Springer 2004 IX, 188 S. graph. Darst. : 25 cm txt rdacontent n rdamedia nc rdacarrier Texts in applied mathematics 47 Compressibility Fluid dynamics Wave-motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Kompressible Strömung (DE-588)4032018-2 gnd rswk-swf Kompressible Strömung (DE-588)4032018-2 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Ockendon, John R. Verfasser aut Texts in applied mathematics 47 (DE-604)BV002476038 47 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010511066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ockendon, Hilary Ockendon, John R. Waves and compressible flow Texts in applied mathematics Compressibility Fluid dynamics Wave-motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd Kompressible Strömung (DE-588)4032018-2 gnd |
| subject_GND | (DE-588)4121912-0 (DE-588)4032018-2 |
| title | Waves and compressible flow |
| title_auth | Waves and compressible flow |
| title_exact_search | Waves and compressible flow |
| title_full | Waves and compressible flow Hilary Ockendon ; John R. Ockendon |
| title_fullStr | Waves and compressible flow Hilary Ockendon ; John R. Ockendon |
| title_full_unstemmed | Waves and compressible flow Hilary Ockendon ; John R. Ockendon |
| title_short | Waves and compressible flow |
| title_sort | waves and compressible flow |
| topic | Compressibility Fluid dynamics Wave-motion, Theory of Wellenausbreitung (DE-588)4121912-0 gnd Kompressible Strömung (DE-588)4032018-2 gnd |
| topic_facet | Compressibility Fluid dynamics Wave-motion, Theory of Wellenausbreitung Kompressible Strömung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010511066&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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