Topographic Effects in Stratified Flows

Peter G. Baines

doi:10.1017/9781108673983

Covering both theory and experiment, this text describes the behaviour of homogeneous and density-stratified fluids over and around topography. Its presentation is suitable for advanced undergraduate and graduate students in fluid mechanics, as well as for practising scientists, engineers, and researchers. Using laboratory experiments and illustrations to further understanding, the author explores topics ranging from the classical hydraulics of single-layer flow to more complex situations involving stratified flows over two- and three-dimensional topography, including complex terrain. A particular focus is placed on applications to the atmosphere and ocean, including discussions of downslope windstorms, and of oceanic flow over continental shelves and slopes. This new edition has been restructured to make it more digestible, and updated to cover significant developments in areas such as exchange flows, gravity currents, waves in stratified fluids, stability, and applications to the atmosphere and ocean.

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Contents

Frontmatter
pp i-iv
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Dedication
pp v-v
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Epigraph
pp vi-vi
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Contents
pp vii-x
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Preface to the Second Edition
pp xi-xii
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Preface to the First Edition
pp xiii-xiv
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1 - Background
pp 1-15
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2 - Non-linear single-layer flow: classical hydraulics
pp 16-55
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3 - Non-linear single-layer flow past obstacles: jumps, bores and wave dispersion
pp 56-94
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4 - Two-layer flow with jumps and topography
pp 95-128
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5 - Two-layer and stratified flow through contractions
pp 129-147
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6 - Exchange flows
pp 148-171
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7 - Gravity currents, downslope and anabatic flows, and stratified hydraulic jumps
pp 172-195
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8 - Waves in stratified fluids
pp 196-242
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9 - The stability of stratified flows
pp 243-260
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10 - Stratified flow over two-dimensional obstacles: linear and nearlinear theory
pp 261-320
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11 - Stratified flowover two-dimensional obstacles: non-linear hydraulic models with applications
pp 321-389
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12 - Stratified flow over three-dimensional topography: linear theory
pp 390-432
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13 - Three-dimensional stratified flow over finite obstacles
pp 433-485
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14 - Flow over complex and realistic terrain in the atmosphere and ocean
pp 486-504
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15 - Applications to practical modelling of flow over complex terrain
pp 505-519
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References
pp 520-541
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Index
pp 425-426
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Topographic Effects in Stratified Flows

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Contents

Frontmatter
pp i-iv

Dedication
pp v-v

Epigraph
pp vi-vi

Contents
pp vii-x

Preface to the Second Edition
pp xi-xii

Preface to the First Edition
pp xiii-xiv

1 - Background
pp 1-15

2 - Non-linear single-layer flow: classical hydraulics
pp 16-55

3 - Non-linear single-layer flow past obstacles: jumps, bores and wave dispersion
pp 56-94

4 - Two-layer flow with jumps and topography
pp 95-128

5 - Two-layer and stratified flow through contractions
pp 129-147

6 - Exchange flows
pp 148-171

7 - Gravity currents, downslope and anabatic flows, and stratified hydraulic jumps
pp 172-195

8 - Waves in stratified fluids
pp 196-242

9 - The stability of stratified flows
pp 243-260

10 - Stratified flow over two-dimensional obstacles: linear and nearlinear theory
pp 261-320

11 - Stratified flowover two-dimensional obstacles: non-linear hydraulic models with applications
pp 321-389

12 - Stratified flow over three-dimensional topography: linear theory
pp 390-432

13 - Three-dimensional stratified flow over finite obstacles
pp 433-485

14 - Flow over complex and realistic terrain in the atmosphere and ocean
pp 486-504

15 - Applications to practical modelling of flow over complex terrain
pp 505-519

References
pp 520-541

Index
pp 425-426

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Topographic Effects in Stratified Flows

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