Pulses and other wave processes in fluids: an asymptotical approach to initial problems
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | Undetermined |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1996
|
| Schriftenreihe: | Modern approaches in geophysics
13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 226 S.: graph. Darst. |
| ISBN: | 0792339282 |
Internformat
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| 100 | 1 | |a Kelbert, Mark J. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Pulses and other wave processes in fluids |b an asymptotical approach to initial problems |c by Mark Kelbert and Igor Sazonov |
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Datensatz im Suchindex
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| adam_text | PULSES AND OTHER WAVE PROCESSES IN FLUIDS AN ASYMPTOTICAL APPROACH TO
INITIAL PROBLEMS BY MARK KELBERT EUROPEAN BUSINESS MANAGEMENT SCHOOL,
UNIVERSITY OF WALES, SWANSEA, UNITED KINGDOM AND IGOR SAZONOV INSTITUTE
OF ATMOSPHERIC PHYSICS, RUSSIAN ACADEMY OF SCIENCES, MOSCOW, RUSSIA
KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON / LONDON CONTENTS
INTRODUCTION 1 1 PULSE DISPERSION AND PULSE VELOCITY 5 1.1 ESTABLISHING
THE PROBLEM OF PULSE PROPAGATION AND AN APPROACH TO ITS SOLUTION 5 1.1.1
GENERAL ASPECTS OF THE PROBLEM 5 1.1.2 THE USE OF THE ONE-SIDED FOURIER
TRANSFORM FOR PULSE PROPAGA- TION PROBLEMS 6 1.1.3 INVESTIGATION OF THE
PULSE ASYMPTOTES BY THE REFERENCE INTEGRALS TECHNIQUE 8 1.1.4 THE
REFERENCE PULSES 11 1.1.5 A COMMENT ON THE SPATIAL FOURIER TRANSFORM 13
1.2 THE VELOCITY OF A SIGNAL PROPAGATION 14 1.2.1 VELOCITY IN MECHANICS
14 1.2.2 THE DIFFICULTIES ASSOCIATED WITH DEFINING SIGNAL VELOCITY . . .
. 14 1.2.3 THE GROUP VELOCITY 18 1.2.4 VELOCITY OF ENERGY PROPAGATION
AND INFORMATION TRANSMISSION . 22 1.3 A SIGNAL VELOCITY IN
NON-EQUILIBRIUM AND DISSIPATIVE MEDIA 22 1.3.1 A PARADOX OF INFINITELY
HIGH GROUP VELOCITY 23 1.3.2 AN EXAMPLE OF AN UNSTABLE MEDIUM 24 1.3.3
AN EXAMPLE OF A DISSIPATIVE MEDIUM 28 1.3.4 THE CRUCIAL ROLE OF
NON-LINEAR CORRECTIONS AT THE BOUNDARIES OF AN INTERVAL OF INSTABILITY
29 1.3.5 THE UNCERTAINTY PRINCIPLE FOR A SIGNAL SPECTRUM AND ITS TAILS
. 30 2 HISTORY DEPENDENT MEDIA 31 2.1 WAVE EQUATION FOR HISTORY
DEPENDENT MEDIA 31 2.1.1 BASIC EQUATIONS 32 2.1.2 KNESER S RELAXATION 33
2.1.3 THE RESONANT RELAXATION 35 2.1.4 HEAT-EXCHANGE RELAXATION 37 2.2
PULSES IN MEDIA WITH KNESER S RELAXATION 40 2.2.1 6-PULSE 40 2.2.2
0-SHAPED AND DOTTING WAVEFORMS 46 2.2.3 MODULATED 0-SHAPED SIGNALS 51 VI
CONTENTS 2.3 PULSES IN RESONANT RELAXATION MEDIA 57 2.3.1 6-SHAPED PULSE
58 2.3.2 THE DOTTING (RECTANGULAR) SIGNAL 65 2.3.3 SWITCHING ON A TONAL
SIGNAL 67 2.3.4 THE DOTTING SIGNAL WITH MODULATION 73 2.4 PULSES IN
MEDIA WITH HEAT-EXCHANGE RELAXATION 75 2.4.1 THE SINGULARITIES OF THE
SIGNAL SPECTRUM 75 2.4.2 ^-SHAPED PULSE 76 2.4.3 DOTTING (RECTANGULAR)
PULSES 78 2.4.4 SWITCHING ON A HARMONIC SIGNAL 79 2.5 HIGHER DIMENSIONAL
PROBLEMS 80 2.5.1 THE GREEN S FUNCTION FOR KNESER S RELAXATION MEDIUM 80
2.5.2 THE GREEN S FUNCTION FOR GENERAL CASES 86 3 PULSES IN STRATIFIED
MEDIA 87 3.1 PULSES OF ACOUSTIC-GRAVITY WAVES 87 3.1.1 BASIC EQUATIONS
87 3.1.2 FIELD OF A HARMONIC SOURCE 89 3.1.3 ASYMPTOTE OF THE FIELD
GENERATED BY AN INSTANTANEOUS POINT SOURCE 94 3.1.4 SWITCHING ON A
HARMONICAL SOURCE 104 3.1.5 THE OBSERVABILITY OF DESCRIBED EFFECTS 109
3.2 ADAPTATION OF INITIAL CONDITIONS TO FIT THE MODEL OF AN
INCOMPRESSIBLE FLUID 109 3.2.1 EXPLOSION IN AN INCOMPRESSIBLE FLUID 109
3.2.2 ADAPTATION OF INITIAL CONDITIONS 110 3.2.3 THE FAST TIME
TRANSIENT BEHAVIOUR 114 3.3 PULSE-LIKE HARMONIC INTERNAL WAVE FIELDS IN
AN INCOMPRESSIBLE MEDIUMLL5 3.3.1 AN ANALOGY OF THE 2D HARMONIC INTERNAL
WAVES FIELDS WITH THE ID ACOUSTIC PULSE PROPAGATION 116 3.3.2 THE 3D
INTERNAL WAVE FIELD OF A LOCALIZED HARMONIC SOURCE . . . 120 3.4
NON-STATIONARY LOCALIZED SOURCE OF INTERNAL WAVES 121 3.4.1 INTERNAL
WAVE FIELD OF AN INSTANTANEOUS POINT SOURCE 122 3.4.2 SWITCHING ON A
MONOCHROMATIC SOURCE 127 4 PULSES IN SHEAR FLOWS 129 4.1 DISPERSION OF A
WAVE PACKET IN A SHEAR FLOW 129 4.1.1 LINEARIZED EQUATION FOR SMALL
PERTURBATIONS IN A PLANE- PARALLEL SHEAR FLOW 130 4.1.2 EVOLUTION OF THE
2D PERTURBATIONS IN THE COUETTE FLOW 131 4.1.3 THE CONCEPT OF A CS-MODE
134 4.1.4 HISTORICAL REMARK 136 CONTENTS VII 4.1.5 TEMPORARY GROWTH OF
PERTURBATIONS IN THE COUETTE FLOW . . . . 136 4.2 STRUCTURAL STABILITY
OF THE CS-MODE 138 4.2.1 THE EFFECT OF THE CURVATURE OF VELOCITY PROFILE
139 4.2.2 THE EFFECTS OF VISCOSITY 145 4.2.3 THE EFFECTS OF
STRATIFICATION 147 4.2.4 THE NON-LINEAR EFFECTS 151 4.2.5 THE 3D EFFECTS
153 4.3 QUASI-EIGEN (QE) MODES IN IDEAL FLUID FLOWS 155 4.3.1 RAYLEIGH S
THEOREM AND THE PROBLEM OF DECAYING EIGENMODES EXISTENCE IN A FLOW
WITHOUT POINTS OF INFLECTION OF VELOCITY PROFILE 156 4.3.2 EVOLUTIONARY
PROBLEMS 157 4.4 THE GREEN S FUNCTION OF THE RAYLEIGH EQUATION FOR A
FLOW WITH A DISCRETE SPECTRUM MODE 166 4.4.1 PIECE-WISE LINEAR PROFILE
166 4.4.2 A VELOCITY PROFILE WITH A SMALL CURVATURE 169 4.4.3 A
LONG-WAVELENGTHS APPROXIMATION FOR THE GREEN S FUNCTION . 171 4.5
LOCALIZED SOURCE FOR CS-MODE 178 4.5.1 THE COUETTE FLOW 178 4.5.2
SLIGHTLY CURVED PROFILE 180 4.5.3 A STRATIFIED SHEAR FLOW 183 4.5.4
NONSTATIONARY CASE 187 4.5.5 REMARK ON THE ALGEBRAIC INSTABILITY 192 4.6
PULSE PROPAGATION IN UNSTABLE MEDIA 194 4.6.1 THE BASIC MODEL 194 4.6.2
AN INSTANTANEOUS SOURCE 195 4.6.3 SWITCHING ON AN OSCILLATING SOURCE 198
PROPAGATION OF THERMAL WAVES IN SHEAR FLOWS 203 5.1 PROPAGATION OF
HARMONIC THERMAL WAVES 204 5.1.1 ESTABLISHING THE PROBLEM 204 5.1.2
DEDUCTION OF THE SPATIAL SPECTRUM 205 5.1.3 ASYMPTOTICS OF THE FIELD IN
THE 2D CASE 206 5.1.4 THE INTERFERENCE OF THERMAL WAVES 211 5.1.5 THE 3D
CASE 212 5.1.6 COMPARISONS OF THE RESULTS OF EXPERIMENTS AND NUMERICAL
COM- PUTATIONS 214 REFERENCES 217
|
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| indexdate | 2024-07-09T18:02:55Z |
| institution | BVB |
| isbn | 0792339282 |
| language | Undetermined |
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| physical | IX, 226 S.: graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
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| series | Modern approaches in geophysics |
| series2 | Modern approaches in geophysics |
| spelling | Kelbert, Mark J. Verfasser aut Pulses and other wave processes in fluids an asymptotical approach to initial problems by Mark Kelbert and Igor Sazonov Dordrecht [u.a.] Kluwer 1996 IX, 226 S.: graph. Darst. txt rdacontent n rdamedia nc rdacarrier Modern approaches in geophysics 13 Scherströmung (DE-588)4128478-1 gnd rswk-swf Wellenausbreitung (DE-588)4121912-0 gnd rswk-swf Fluid (DE-588)4017690-3 gnd rswk-swf Fluid (DE-588)4017690-3 s Wellenausbreitung (DE-588)4121912-0 s DE-604 Scherströmung (DE-588)4128478-1 s Sazonov, Igor Verfasser aut Modern approaches in geophysics 13 (DE-604)BV001414845 13 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007387895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kelbert, Mark J. Sazonov, Igor Pulses and other wave processes in fluids an asymptotical approach to initial problems Modern approaches in geophysics Scherströmung (DE-588)4128478-1 gnd Wellenausbreitung (DE-588)4121912-0 gnd Fluid (DE-588)4017690-3 gnd |
| subject_GND | (DE-588)4128478-1 (DE-588)4121912-0 (DE-588)4017690-3 |
| title | Pulses and other wave processes in fluids an asymptotical approach to initial problems |
| title_auth | Pulses and other wave processes in fluids an asymptotical approach to initial problems |
| title_exact_search | Pulses and other wave processes in fluids an asymptotical approach to initial problems |
| title_full | Pulses and other wave processes in fluids an asymptotical approach to initial problems by Mark Kelbert and Igor Sazonov |
| title_fullStr | Pulses and other wave processes in fluids an asymptotical approach to initial problems by Mark Kelbert and Igor Sazonov |
| title_full_unstemmed | Pulses and other wave processes in fluids an asymptotical approach to initial problems by Mark Kelbert and Igor Sazonov |
| title_short | Pulses and other wave processes in fluids |
| title_sort | pulses and other wave processes in fluids an asymptotical approach to initial problems |
| title_sub | an asymptotical approach to initial problems |
| topic | Scherströmung (DE-588)4128478-1 gnd Wellenausbreitung (DE-588)4121912-0 gnd Fluid (DE-588)4017690-3 gnd |
| topic_facet | Scherströmung Wellenausbreitung Fluid |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007387895&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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