The theory of rotating fluids:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Univ. Pr.
1969
|
| Ausgabe: | Repr. with corr. |
| Schriftenreihe: | Cambridge monographs on mechanics and applied mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 328 S. zahlr. Ill. u. graph. Darst. |
| ISBN: | 0521051479 |
Internformat
MARC
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| 245 | 1 | 0 | |a The theory of rotating fluids |
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| 264 | 1 | |a Cambridge |b Univ. Pr. |c 1969 | |
| 300 | |a XII, 328 S. |b zahlr. Ill. u. graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Cambridge monographs on mechanics and applied mathematics | |
| 650 | 4 | |a Rotating masses of fluid | |
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Datensatz im Suchindex
| _version_ | 1804123476994293760 |
|---|---|
| adam_text | Published by the Syndics of the Cambridge University Press
Bentley House, 200 Euston Road, London, N w i
American Branch: 32 East 57th Street, New York, n y 10022
Library of Congress Catalogue Card Number: 68-12058
Standard Book Number: 521 05147 9
First published 1968
Reprinted with corrections 1969
First printed in Great Britain at the University Printing House, Cambridge
Reprinted in Great Britain by Bookprint Limited, Crawley, Sussex
Acknowledgments
CONTENTS
page ix
Preface xi
I INTRODUCTION
PART A
xiA few simple experiments 1
1 2 Equations of motion 5
1 3 Theoretical survey 8
part B
14A formulation for stratified fluids 11
1 5 Rudiments of vorticity theory 18
1 6 Rudiments of viscous boundary layer theory 23
2 CONTAINED ROTATING FLUID MOTION:
LINEAR THEORIES
2 1 Classification 28
2 2 Almost rigid rotation 28
2 3 The Ekman layer 30
2 4 Spin-up 34
2 5 The initial value problem: formulation 38
2 6 The geostrophic mode 43
2 7 Inertial waves 51
2 8 Mean circulation theorem 54
2 9 Viscous dissipation ‘ 56
2 X0 The initial value problem: solution and critique 58
2 IX Special cases 60
2 12 Motion in a sphere 63
3 13 Precession and the problem of forced motions 68
VI CONTENTS
2 14 Resonance in a sphere page 78
2 15 Motion in a cylinder 81
2 16 Rossby waves: part one 85
2 17 Steady motions and Ekman layers 91
2 18 Vertical boundary layers 97
2 19 Steady motions and vertical shear layers 106
2 20 A ‘wind-driven’ circulation 118
2 21 Some effects of stratification 124
3 CONTAINED ROTATING FLUID MOTION:
NON-LINEAR THEORIES
3 1 Introduction 133
3 2 Boundary layer on an infinite plate 133
3 3 Boundary layer on a finite plate 139
3 4 Motion between concentric plates 145
3 5 Spherical boundaries 150
3 6 Momentum-integral methods 153
3 7 Spin-up 160
3 8 Some experiments with non-linear phenomena 173
3 9 Large angle precession 176
3 10 Vortex flows and similarity solutions 181
4 MOTION IN AN UNBOUNDED ROTATING FLUID
4 1 Classification 185
4 2 Plane inertial waves 185
4 3 Slow motion along the axis of rotation 192
4 4 Oscillatory motion 200
4 5 Wave propagation in a uniform current 204
4 6 Motion along the rotation axis at moderate speeds 213
4 7 Time-dependent considerations 222
VI CONTENTS CONTENTS
2 14 Resonance in a sphere page 78
2 15 Motion in a cylinder 81
2 16 Rossby waves: part one 85
2 17 Steady motions and Ekman layers 91
2 18 Vertical boundary layers 97
2 19 Steady motions and vertical shear layers 106
2 20 A ‘wind-driven’ circulation 118
2 21 Some effects of stratification 124
3 CONTAINED ROTATING FLUID MOTION:
NON-LINEAR THEORIES
3-i Introduction 133
3-a Boundary layer on an infinite plate 133
3-3 Boundary layer on a finite plate 139
3-4 Motion between concentric plates 145
3-5 Spherical boundaries 150
3 6 Momentum-integral methods 153
3-7 Spin-up 160
3 8 Some experiments with non-linear phenomena 173
3-9 Large angle precession 176
3-io Vortex flows and similarity solutions 181
4 MOTION IN AN UNBOUNDED ROTATING FLUID
4 1 Classification 185
4 2 Plane inertial waves 185
4 3 Slow motion along the axis of rotation 192
4 4 Oscillatory motion 200
4 5 Wave propagation in a uniform current 204
4 6 Motion along the rotation axis at moderate speeds 213
4 7 Time-dependent considerations 222
vu
5 DEPTH-AVERAGED EQUATIONS: MODELS FOR
OCEANIC CIRCULATION
5-i Introduction page 225
5* Depth-averaged equations 225
5-3 Oceanic models 234
5-4 Steady circulations and inertial boundary layers 238
5-5 Rossby waves: part two 246
5 6 Numerical studies 254
5-7 Flow between concentric spheres 262
6 STABILITY
6 x Introduction 271
6 2 Rayleigh’s criterion 271
6 3 Stability of the Ekman layer: experiments 275
6 4 Stability of the Ekman layer: theory 281
6 5 Vertical shear layers 288
6 6 Stratified fluids 292
6 7 Thermal convection in a rotating annulus 293
Notation Guide 300
Bibliography and Author Index 305
Subject Index 324
|
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| id | DE-604.BV009066328 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:30:23Z |
| institution | BVB |
| isbn | 0521051479 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006004636 |
| oclc_num | 3472907 |
| open_access_boolean | |
| owner | DE-29T DE-83 |
| owner_facet | DE-29T DE-83 |
| physical | XII, 328 S. zahlr. Ill. u. graph. Darst. |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Univ. Pr. |
| record_format | marc |
| series2 | Cambridge monographs on mechanics and applied mathematics |
| spelling | Greenspan, Harvey P. Verfasser aut The theory of rotating fluids Repr. with corr. Cambridge Univ. Pr. 1969 XII, 328 S. zahlr. Ill. u. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on mechanics and applied mathematics Rotating masses of fluid Strömungsmechanik (DE-588)4077970-1 gnd rswk-swf Rotationsströmung (DE-588)4178508-3 gnd rswk-swf Rotationsströmung (DE-588)4178508-3 s DE-604 Strömungsmechanik (DE-588)4077970-1 s 1\p DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006004636&sequence=000001&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 | Greenspan, Harvey P. The theory of rotating fluids Rotating masses of fluid Strömungsmechanik (DE-588)4077970-1 gnd Rotationsströmung (DE-588)4178508-3 gnd |
| subject_GND | (DE-588)4077970-1 (DE-588)4178508-3 |
| title | The theory of rotating fluids |
| title_auth | The theory of rotating fluids |
| title_exact_search | The theory of rotating fluids |
| title_full | The theory of rotating fluids |
| title_fullStr | The theory of rotating fluids |
| title_full_unstemmed | The theory of rotating fluids |
| title_short | The theory of rotating fluids |
| title_sort | the theory of rotating fluids |
| topic | Rotating masses of fluid Strömungsmechanik (DE-588)4077970-1 gnd Rotationsströmung (DE-588)4178508-3 gnd |
| topic_facet | Rotating masses of fluid Strömungsmechanik Rotationsströmung |
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