Introduction to geophysical fluid dynamics

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Edition: 1st

ISBN: 0133533018, 9780133533019

Size: 5 MB (4753375 bytes)

Pages: 332/332

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Benoit Cushman-Roisin0133533018, 9780133533019

This is the first and only introductory level text available on geophysical fluid dynamics. Emphasis is placed on physics, not mathematics and simple and complex laboratory demonstrations are featured in most chapters. Special contemporary topics, of climate dynamics and equatorial dynamics, including the greenhouse effect, global warming and southern oscillation are covered.

Table of contents :
Title……Page 1
Contents ……Page 2
Preface ……Page 10
1-1 Objective ……Page 13
1-2 Importance of Geophysical Fluid Dynamics ……Page 14
1-3 Distinguishing Attributes of Geophysical Fluid Dynamics ……Page 16
1-4 Scales of Motion ……Page 17
1-5 Importance of Rotation ……Page 20
1-6 Importance of Stratification ……Page 21
1-7 Important Distinctions between the Atmosphere and Oceans ……Page 22
1-8 General Remarks on Data Acquisition ……Page 24
Problems ……Page 25
Suggested Laboratory Demonstration ……Page 26
Historical Note: Walsh Cottage ……Page 27
2-1 Motivation for the Choice of a Rotating Reference Framework ……Page 28
2-2 Rotating Frame of Reference ……Page 29
2-3 Unimportance of the Centrifugal Force ……Page 31
2-4 Motion of a Free Particle on a Rotating Plane ……Page 33
2-5 Analogy with a Pendulum ……Page 35
2-6 Acceleration on a Three-Dimensional Rotating Earth ……Page 39
Problems ……Page 41
Suggested Laboratory Demonstrations ……Page 43
Biography: Gaspard Gustave de Coriolis ……Page 44
3-1 Momentum Equations ……Page 45
3-2 Other Governing Equations ……Page 46
3-3 The Boussinesq Approximation ……Page 49
3-4 Further Simplifications ……Page 52
3-5 Recapitulation of the Equations Governing Geophysical Flows ……Page 55
3-6 The Rossby and Ekman Numbers ……Page 56
Problems ……Page 57
Biography: Carl-Gustaf Arvid Rossby ……Page 59
4-1 Homogeneous Geostrophic Flows ……Page 61
4-2 Homogeneous Geostrophic Flows over an Irregular Bottom ……Page 64
4-3 Generalization to Nongeostrophic Flows ……Page 66
4-4 Vorticity Dynamics ……Page 68
Problems ……Page 70
Suggested Laboratory Demonstration ……Page 72
Biography: Geoffrey Ingram Taylor ……Page 73
5-1 On the Importance of Friction ……Page 74
5-2 The Bottom Ekman Layer ……Page 75
5-3 Generalization to Nonuniform Currents ……Page 78
5-4 The Surface Ekman Layer ……Page 80
5-5 The Ekman Layer over Uneven Terrain ……Page 82
5-6 The Ekman Layer in Real Geophysical Flows ……Page 84
Problems ……Page 86
Suggested Laboratory Demonstration ……Page 87
Biography: Vagn Walfrid Ekman ……Page 88
6-1 Linear Wave Dynamics ……Page 89
6-2 The Kelvin Wave ……Page 91
6-3 Inertia-Gravity Waves (Poincare Waves) ……Page 94
6-4 Planetary Waves (Rossby Waves) ……Page 95
6-5 Topographic Waves ……Page 99
6-6 Analogy between Planetary and Topographic Waves ……Page 103
Problems ……Page 105
Suggested Laboratory Demonstration ……Page 106
Biogiaphy: William Thomson, Lord Kelvin ……Page 107
7-1 Introduction ……Page 108
7-2 Waves on a Shear Flow ……Page 109
7-3 Bounds on Wave Speeds and Growth Rales ……Page 112
7-4 A Simple Example ……Page 115
Problems ……Page 118
Biography: Louis Norberg Howard ……Page 120
8-1 Some Remarks on the Ocean and Atmosphere ……Page 121
8-2 A Simple Model of Midlatitude Circulation ……Page 123
8-3 Sverdrup Transport ……Page 126
8-4 Westward Intensification ……Page 127
8-5 Discussion ……Page 130
Suggested Laboratory Demonstration ……Page 131
Biography: Harald Ulrik Sverdrup ……Page 133
Biography: Henry Melson Stommel ……Page 134
9-1 Introduction ……Page 135
9-2 Static Stability ……Page 136
9-3 A Note on Atmospheric Stratification ……Page 137
9-4 The Importance of Stratification: The Froude Number ……Page 141
9-5 Combination of Rotation and Stratification ……Page 144
Suggested Laboratory Demonstration ……Page 146
Biography: David Brunt ……Page 147
10-1 From Surface to Internal Waves ……Page 148
10-2 Internal-Wave Theory ……Page 150
10-3 Structure of an Internal Wave ……Page 152
10-4 Lee Waves ……Page 155
10-5 A Note on Nonlinear Effects ……Page 159
Problems ……Page 160
Suggested Laboratory Demonstration ……Page 161
Biography: Walter Heinrich Munk ……Page 162
11-1 Mixing of Stratified Fluids ……Page 163
11-2 Instability of a Stratified Shear Flow ……Page 166
11-3 Turbulence in a Stratified Shear Flow ……Page 172
11-4 Convection ……Page 174
Problems ……Page 178
Suggested Laboratory Demonstration ……Page 179
Biography: Lewis Fry Richardson ……Page 180
12-1 From Depth to Density ……Page 181
12-2 Potential Vorticity ……Page 184
12-3 Layered Models ……Page 186
Problems ……Page 191
Biography: Raymond Braislin Montgomery ……Page 192
13-1 Thermal Wind ……Page 193
13-2 Geostrophic Adjustment ……Page 195
13-3 Energetics of Geostrophic Adjustment ……Page 199
Problems ……Page 201
Suggested Laboratory Demonstration ……Page 203
Biography: George Veronis ……Page 204
14-1 The Upwelling Process ……Page 205
14-3 Finite-Amplitude Upwelling ……Page 209
14-4 Variability of the Upwelling Front ……Page 211
Problems ……Page 212
Biography: Kozo Yoshida ……Page 215
15-1 Simplifying Assumption ……Page 216
15-2 Governing Equation ……Page 218
15-3 Discussion ……Page 222
15-4 Energetics ……Page 224
15-5 Planetary Waves in a Stratified Fluid ……Page 226
15-6 Some Nonlinear Effects ……Page 231
Problems ……Page 235
Biography: Jule Gregory Charney ……Page 236
16-1 Cause for Instability ……Page 237
16-2 Linear Theory ……Page 241
16-3 Heat Transport ……Page 245
16-4 More-General Criteria ……Page 246
Suggested Laboratory Demonstration ……Page 249
Biography: Joseph Pedlosky ……Page 251
17-1-1 Origin and Scales……Page 252
17-1-2 Meanders ……Page 255
17-1-4 Stretching and Topographic Effects ……Page 259
17-1-5 Instabilities ……Page 262
17-2 Vortices ……Page 263
17-3 Geostrophic Turbulence ……Page 271
Problems ……Page 273
Suggested Laboratory Demonstrations ……Page 275
Biography: Melvin Ernest Stem ……Page 276
Biography: Allan Richard Robinson ……Page 277
18-1 Climate versus Weather ……Page 279
18-2 Global Heat Budget ……Page 280
18-3 General Atmospheric Circulation ……Page 283
18-4 The Ocean as a Regulator ……Page 289
18-5 Greenhouse Effect ……Page 290
Problems ……Page 293
Suggested Laboratory Demonstration ……Page 294
Biography: Syukuro Manabe ……Page 295
19-1 Equatorial Beta Plane ……Page 296
19-2 Linear Wave Theory ……Page 297
19-3 El Nino ……Page 302
Problems ……Page 304
Biography: Adrian Edmund Gill ……Page 305
A-1 Wave Number and Wavelength ……Page 306
A-2 Frequency, Phase Speed, and Dispersion ……Page 308
A-3 Group Velocity and Energy Propagation ……Page 311
Problems ……Page 313
Suggested Computer Demonstration ……Page 314
References ……Page 315
Index (beginning only)……Page 325

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