Cover image for Air-ice-ocean Interaction : turbulent ocean boundary layer exchange processes
Title:
Air-ice-ocean Interaction : turbulent ocean boundary layer exchange processes
Personal Author:
Publication Information:
New York, NY : Springer, 2008
Physical Description:
ix, 215 p. : ill. (some col.) ; 24 cm.
ISBN:
9780387783345

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30000010193870 GC190.2 M37 2008 Open Access Book Book
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Summary

Summary

At a time when the polar regions are undergoing rapid and unprecedented change, understanding exchanges of momentum, heat and salt at the ice-ocean interface is critical for realistically predicting the future state of sea ice. By offering a measurement platform largely unaffected by surface waves, drifting sea ice provides a unique laboratory for studying aspects of geophysical boundary layer flows that are extremely difficult to measure elsewhere. This book draws on both extensive observations and theoretical principles to develop a concise description of the impact of stress, rotation, and buoyancy on the turbulence scales that control exchanges between the atmosphere and underlying ocean when sea ice is present. Several interesting and unique observational data sets are used to illustrate different aspects of ice-ocean interaction ranging from the impact of salt on melting in the Greenland Sea marginal ice zone, to how nonlinearities in the equation of state for seawater affect mixing in the Weddell Sea.

The book's content, developed from a series of lectures, may be appropriate additional material for upper-level undergraduates and first-year graduate students studying the geophysics of sea ice and planetary boundary layers.


Author Notes

Miles McPhee performs geophysical research, focused on polar regions, both from McPhee Research Company and as affiliate principal scientist at the University of Washington Applied Physics Laboratory


Table of Contents

1 Introductionp. 1
1.1 Arctic Changep. 1
1.2 The Southern Oceanp. 7
1.3 Ekman's Seminal Paperp. 8
1.4 Polar Boundary-Layer Field Studiesp. 10
1.5 Roadmapp. 12
Referencesp. 13
2 Basic Physical Conceptsp. 15
2.1 Conservation Equations in Fluidsp. 15
2.2 Reynolds Fluxesp. 16
2.3 Rotation: The Coriolis Force and Geostrophyp. 18
2.3.1 Geostrophic Shearp. 19
2.4 Boundary-Layer Equationsp. 19
2.5 Inertial Oscillationsp. 20
2.6 Ekman Pumpingp. 24
2.7 The Equation of State for Seawaterp. 28
Referencesp. 36
3 Turbulence Basicsp. 39
3.1 General Characteristicsp. 39
3.2 IOBL Measurement Techniques and Examplesp. 40
3.2.1 Smith Rotorsp. 40
3.2.2 Turbulence Instrument Clustersp. 41
3.2.3 Momentum and Scalar Flux Measurementsp. 43
3.2.4 Estimating Confidence Limits for Covariance Calculationsp. 46
3.2.5 Averaging Time and the Spectral Gapp. 48
3.3 Turbulent Kinetic Energy Equationp. 51
3.4 Scalar Variance Conservationp. 53
3.5 Turbulence Spectra and the Energy Cascadep. 54
3.6 Mixing Length, Eddy Viscosity, and the w Spectrump. 58
3.7 Scalar Spectrap. 60
Referencesp. 62
4 Similarity for the Ice/Ocean Boundary Layerp. 65
4.1 The Surface Layerp. 65
4.1.1 Mixing Length in the Neutral Surface Layerp. 67
4.1.2 The Law of the Wall and Surface Roughness Lengthp. 67
4.1.3 Monin-Obukhov Similarityp. 68
4.2 The Outer Layerp. 70
4.2.1 Similarity for Turbulent Stress in the Outer Layerp. 72
4.2.2 Rossby Similarity for the Neutral IOBLp. 74
4.2.3 Similarity for the Stably Stratified IOBLp. 77
4.3 IOBL Similarity and the Atmospheric Boundary Layerp. 81
4.3.1 Dimensionless Shearp. 81
4.3.2 The Rossby-Similarity Parameters for Stable Stratificationp. 83
4.4 Ice-Edge Bandsp. 83
Referencesp. 85
5 Turbulence Scales for the Ice/Ocean Boundary Layerp. 87
5.1 Neutral OBL Scalesp. 87
5.1.1 Ice Station Weddellp. 87
5.1.2 Ice Station Polarsternp. 93
5.2 The IOBL with Stabilizing Boundary Buoyancy Fluxp. 95
5.3 The Statically Unstable IOBLp. 98
5.4 Velocity Scales in the IOBLp. 102
5.5 Summary of IOBL Scalesp. 105
Referencesp. 107
6 The Ice/Ocean Interfacep. 109
6.1 Enthalpy and Salt Balance at the Interfacep. 110
6.2 Turbulent Exchange Coefficientsp. 112
6.3 The "Three-Equation" Interface Solutionp. 114
6.4 Heat Flux Measurements and the Stanton Number for Sea Icep. 116
6.5 Double Diffusion-Meltingp. 118
6.6 Double Diffusion and False Bottomsp. 119
6.7 Freezing-Is Double Diffusion Important?p. 125
Referencesp. 130
7 A Numerical Model for the Ice/Ocean Boundary Layerp. 133
7.1 Difference Equationsp. 133
7.2 Boundary Conditionsp. 135
7.2.1 Flux of Variable [theta] Specified at Upper Surfacep. 136
7.2.2 Variable [theta] Specified at Upper Surfacep. 136
7.2.3 Dynamic Momentum Flux Conditionp. 137
7.2.4 Flux of [theta] Specified at the Bottom of Model Domainp. 138
7.2.5 [theta] Specified at the Bottom of the Model Domainp. 138
7.3 Steady-State Momentum Equationp. 139
7.4 Distributed Sourcesp. 139
7.5 Solution Techniquep. 140
7.6 The Local Turbulence Closure Modelp. 140
7.7 The Ice/Ocean Interface Submodelp. 143
Referencesp. 143
8 LTC Modeling Examplesp. 145
8.1 Diurnal Heating Near the Solstice, SHEBAp. 146
8.2 Inertial Oscillations in Late Summer, SHEBAp. 151
8.2.1 Wind Forced Modelp. 151
8.2.2 Models Forced by Surface Velocityp. 157
8.2.3 Short-Term Velocity Predictionp. 160
8.3 Marginal Static Stability, MaudNESSp. 162
Referencesp. 170
9 The Steady Local Turbulence Closure Modelp. 173
9.1 Model Descriptionp. 176
9.2 The Eddy Viscosity/Diffusivity Iterationp. 177
9.3 Applicationsp. 184
9.3.1 Ice Station Polarsternp. 184
9.3.2 Underice Hydraulic Roughness for SHEBAp. 186
9.3.3 SHEBA Time Seriesp. 189
Referencesp. 192
Colour Plate Sectionp. 193
Indexp. 213