Textbook on Rotating Hydraulics
Table of Contents
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Preface
What is "rotating hydraulics"?
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Acknowledgements
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Introduction
Hydraulic Effects in the Ocean and Atmosphere
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Chapter 1
Review of the hydraulics of non-rotating, homogeneous flows.
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» Section 1.1
The approximations of hydraulics.
» Section 1.2
The shallow water equations and one-dimensional wave propagation.
» Section 1.3
Nonlinear steepening and rarefacation.
» Section 1.4
The hydraulics of steady, homogeneous flow over an obstacle.
» Section 1.5
Hydraulics in abstract.
» Section 1.6
Hydraulic Jumps, Bores, Rarefaction Waves, and Long's Experiment.
» Section 1.7
Solution to the initial-value problem.
» Section 1.8
Wave reflections and upstream influence in time-dependent flows.
» Section 1.9
Friction and Bottom Drag.
» Section 1.10
Entrainment.
» Section 1.11
Nonlinear dispersion.
Chapter 2
The Hydraulics of Homogeneous Flow in a Rotating Channel
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- Section 2.1
The semigeostrophic approximation in a rotating channel. - Section 2.2
Uniform Potential Vorticity: Boundary Layers and Kelvin Waves. - Section 2.3
Flow Separation and Frontal Waves. - Section 2.4
Steady flow from a deep basin: the WLK model. - Section 2.5
Uniform potential vorticity flow from a wide basin: Gill's model. - Section 2.6
Uniform potential vorticity flow, revisited. - Section 2.7
Flow Reversals and Recirculations. - Section 2.8
Non-rectangular cross-sections. - Section 2.9
Non-uniform potential vorticity. - Section 2.10
Transport Bounds. - Section 2.11
Anatomy of an overflow: The Faroese Channels. - Section 2.12
Outflow Plumes. - Section 2.13
Closed upstream basins with forcing and dissipation. - Section 2.14
Comparisons between observed and predicted transports.
Chapter 3
Time-dependence and Shocks
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- Section 3.1
Linear Rossby adjustment and geostrophic control in a channel. - Section 3.2
Rossby Adjustment: Weakly Nonlinear Behavior. - Section 3.3
Rossby Adjustment in a Channel: Fully Nonlinear Case. - Section 3.4
Long's problem in a rotating channel. - Section 3.5
Shock joining. - Section 3.6
The Kelvin Bore. - Section 3.7
Shocks in separated flows. - Section 3.8
Hydraulic control in a dispersive system: flow over an infinite ridge. - Section 3.9
Ageostrophic Instability
Chapter 4
Coastal Applications
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- Section 4.1
Curvature effects and flow separation. - Section 4.2
Coastal upwelling fronts and jets. - Section 4.3
Oblique shocks and expansion fans: the supercritical marine layer. - Section 4.4
Expansion fans and compressions: formal theory. - Section 4.5
Rotating gravity currents.
Chapter 5
Two-layer Flow in Rotating Channels
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- Section 5.1
Formulation of two-layer, semigeostrophic models - Section 5.2
Basic theory for a nonrotating channel. - Section 5.3
Flow over an obstacle. - Section 5.4
Flow through a pure contraction. - Section 5.5
Overmixing and maximal exchange in estuaries. - Section 5.6
Overmixing in inverse estuaries. - Section 5.7
Maximal and submaximal exchange between two deep basins with rotation. - Section 5.8
Maximal exchange through a pure contraction with rotation. - Section 5.9
Strangulation of the baroclinic flow by the barotropic flow.
Chapter 6
Potential Vorticity Hydraulics
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»Section 6.1
Introduction.
» Section 6.2
Potential vorticity front in a channel.
» Section 6.3
Equatorial jets.
» Section 6.4
A mid-latitude jet.
References
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Appendices
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- Appendix A: List of Selected Notation.
- Appendix B: The method of characteristics in two dimensions.
- Appendix C: The method of characteristics for steady, 2-d, shallow flow with vorticity.
Errata
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- Rotating Hydraulics Textbook
Corrections to errors and typos