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  • 1
    Online Resource
    Online Resource
    New York :Cambridge University Press,
    Keywords: Buoyant convection. ; Electronic books.
    Description / Table of Contents: This book summarizes our present understanding of buoyancy-driven flows, ranging from buoyant coastal currents to dense overflows in the ocean, and from avalanches to volcanic pyroclastic flows. It is an invaluable resource for advanced students and researchers in oceanography, geophysical fluid dynamics, atmospheric science and the wider Earth sciences.
    Type of Medium: Online Resource
    Pages: 1 online resource (446 pages)
    Edition: 1st ed.
    ISBN: 9781139340069
    DDC: 551.48
    Language: English
    Note: Cover -- BUOYANCY-DRIVEN FLOWS -- TITLE -- COPYRIGHT -- Contents -- Contributors -- Introduction -- References -- 1: Gravity Currents - Theory and Laboratory Experiments -- 1.1 Introduction -- 1.2 Reduced Gravity -- 1.3 Frontogenesis -- 1.4 Nondimensional Parameters -- 1.5 Scaling Analysis -- 1.6 Theories for the Froude Number -- 1.6.1 Yih's Theory -- 1.6.2 Von Kármán's Theory -- 1.6.3 Benjamin's Theory -- 1.6.3.1 Mass and Momentum Conservation -- 1.6.3.2 Energy Conservation -- 1.6.3.3 Comparison with Experiment -- 1.6.4 Energy-Conserving Theory -- 1.6.4.1 Partial-Depth Lock Releases -- 1.6.4.2 Mass and Momentum conservation -- 1.6.4.3 Energy Conservation -- 1.6.4.4 Comparison with Experiments -- 1.6.4.5 Energy Transfers -- 1.7 Shallow Water Theory -- 1.7.1 Similarity Solution -- 1.7.1.1 Comparison with Experiment -- 1.8 Stratified Ambient Fluid -- 1.8.1 Criticality -- 1.8.2 Comparison with Data for Stratified Ambient Fluids -- 1.8.2.1 Current Speed -- 1.8.3 Current Depth -- 1.9 Summary and Conclusions -- Acknowledgments -- References -- 2: Theory of Oceanic Buoyancy-Driven Flows -- 2.1 General Considerations and a Laboratory Example -- 2.1.1 Introduction -- 2.1.2 A Laboratory Example: Formulation -- 2.1.3 The Linear Problem -- 2.1.4 The Interior -- 2.1.5 Sidewall Boundary Layers σS < -- < -- 1 -- 2.1.6 The Hydrostatic Layer -- 2.1.7 The Buoyancy Layer -- 2.1.8 Matching the boundary conditions at r = ro -- 2.1.9 The Purely Mechanically Driven Flow -- 2.1.10 The Buoyancy Driven Flow in the Cylinder -- 2.1.11 A Laboratory Example -- 2.2 Buoyancy-Driven Flows in Beta-Plane Basins:The Relation Between Buoyancy Forcing and the Location of Vertical Motion -- 2.2.1 Introduction -- 2.2.2 The Model Formulation -- 2.2.3 Interior Solution -- 2.2.4 Boundary Layer Structure -- 2.2.4.1 The diffusion layer -- 2.2.4.2 The Hydrostatic Layer -- 2.2.5 Matching. , 2.2.6 An Example -- 2.2.7 Nonlinear Theory -- 2.3 Buoyancy Forced Flows with Weak Stratification: Downstream Variation Effects -- 2.3.1 Introduction -- 2.3.2 The Model -- 2.3.3 The Interior -- 2.3.4 The Sidewall Boundary Layer for σH S < -- < -- EH 2/3(D/L)2/3 -- 2.3.5 An Example -- 2.3.6 Discussion -- References -- 3: Buoyancy-Forced Circulation and Downwelling in Marginal Seas -- 3.1 Introduction -- 3.2 Buoyancy-Forced Circulation and Exchange -- 3.2.1 Influence of a Boundary -- 3.2.2 Influence of Sloping Topography -- 3.2.3 Moving Further Toward a More Realistic Configuration -- 3.2.4 Influence of Wind Forcing -- 3.3 Dynamics of Downwelling -- 3.3.1 Dissipative, Stratified Flows -- 3.3.2 Weak Dissipation, Stratified Flows -- 3.3.3 Weakly Stratified Flows -- 3.3.3.1 Along-Channel Evolution -- 3.3.3.2 The Nonhydrostatic Layer -- 3.3.3.3 Cooling Distribution -- 3.3.3.4 Parameter Dependencies -- 3.4 Summary -- Acknowledgments -- References -- 4: Buoyant Coastal Currents -- 4.1 Introduction -- 4.2 A Simple Model for Buoyant Coastal Currents over a Sloping Bottom -- 4.3 Evaluating the Buoyant Coastal Current Model -- 4.3.1 Laboratory model -- 4.3.2 Numerical Model -- 4.3.3 Ocean Observations - The Chesapeake Bay Buoyant Coastal Current -- 4.4 Response of Buoyant Coastal Currents to Wind Forcing -- Acknowledgments -- References -- 5: Overflows and Convectively Driven Flows -- 5.1 Introduction to Overflows -- 5.1.1 What Are Dense Overflows? -- 5.1.2 Denmark Straits Overflow -- 5.1.3 Faroe Bank Channel Overflow -- 5.1.4 Red Sea Overflow -- 5.1.5 Mediterranean Overflow -- 5.1.6 Antarctic Overflows -- 5.1.7 Midocean Ridge Overflows -- 5.1.8 Common Features of Overflows -- 5.2 Overflow Processes: Focus on Entrainment -- 5.2.1 The Entrainment Concept -- 5.2.2 Causes of Entrainment -- 5.2.3 Parameterizing Entrainment -- 5.2.4 Detrainment. , 5.2.5 The Frictional Bottom Boundary Layer -- 5.2.6 Inhomogeneities Across the Overflow Plume -- 5.2.7 Summary -- 5.3 Convectively Driven Ocean Flows -- 5.3.1 Convective Plumes -- 5.3.2 Horizontal Inhomogeneities in Convective Flows -- 5.3.2.1 Localized Buoyancy Forcing -- 5.3.2.2 Convection in the Presence of Lateral Buoyancy Gradients -- 5.3.3 Summary: Contrasting Convection and Overflows -- References -- Appendix: Notation -- 6: An Ocean Climate Modeling Perspective on Buoyancy-Driven Flows -- 6.1 Buoyancy in Ocean Climate Models -- 6.1.1 Reduced Complexity (Box) Models -- 6.1.2 Ocean General Circulation Models for Climate -- 6.1.3 Numerical Constraints and Artifacts -- 6.1.4 Surface Forcing -- 6.1.5 Coupling -- 6.1.6 Concluding remarks on Section 6.1 -- 6.2 Convective Boundary Layers -- 6.2.1 The Ocean Boundary Layer -- 6.2.2 Similarity Theory -- 6.2.3 Penetrative Convection and Spice Injection -- 6.2.4 Concluding Remarks on Section 6.2 -- 6.3 Ventilation in Ocean Models -- 6.3.1 Ideal Age -- 6.3.2 Transit Time Distributions -- 6.3.3 Shallow Ventilation -- 6.3.4 NADW and the AMOC -- 6.3.5 Concluding Remarks on Section 6.3 -- 6.4 Parameterized Overflows -- 6.4.1 Characteristics of Buoyancy-Driven Overflows -- 6.4.2 A Parameterized Mediterranean Overflow -- 6.4.3 Nordic Sea Overflows (Denmark Strait -- Faroe Bank Channel) -- 6.4.4 Comparison with Observations of Ventilation -- 6.4.5 Concluding Remarks on Section 6.4 -- Acknowledgment -- References -- 7: Buoyancy-Driven Currents in Eddying Ocean Models -- 7.1 Introduction -- 7.1.1 Dynamics of Water Mass Formation and Spreading -- 7.1.2 Representing Eddies in Numerical Models: A Historical Perspective -- 7.2 Characteristics of Numerical Models of the Ocean -- 7.3 Interplay of Numerics and Parameterizations -- 7.4 Modeling Deep Flow Through the Romanche Fracture Zone. , 7.5 Modeling the Spreading of Mediterranean Water in the Atlantic -- 7.5.1 The initial descent -- 7.5.2 The Mediterranean undercurrent -- 7.5.3 The Mediterranean Salt Tongue -- 7.6 Conclusion -- List of Acronyms -- References -- 8: Atmospheric Buoyancy-Driven Flows -- 8.1 Introduction -- 8.1.1 The Atmosphere -- 8.1.2 The Weather and the Climate -- 8.1.3 Buoyancy in a Perfect Gas -- 8.2 Circulations -- 8.2.1 Atmospheric Frontal Systems -- 8.2.1.1 The Baroclinic Zone -- 8.2.1.2 Baroclinic Development -- 8.2.1.3 Frontogenesis -- 8.2.2 Atmospheric Convection -- 8.2.2.1 Convective Inhibition and Convective Available Potential Energy -- 8.2.2.2 Downdrafts and Cold Density Currents -- 8.2.2.3 Organization of Convection -- 8.2.3 Direct Cells -- 8.2.3.1 Land/Sea Breeze -- 8.2.3.2 Mountain Breeze -- 8.3 Simulations -- 8.3.1 Overview of Atmospheric Simulations -- 8.3.2 Modeling Buoyancy-Driven Flows -- References -- 9: Volcanic Flows -- 9.1 Introduction -- 9.2 Magma Injection and Eruption Triggering -- 9.3 Second Boiling and Eruption Triggers -- 9.4 Magma Mixing -- 9.4.1 Mixing Prior to Eruption -- 9.4.2 Mixing During Eruption -- 9.5 Eruption Dynamics -- 9.5.1 Eruption Columns -- 9.5.2 Ash Flows -- 9.6 Related Volcanic Processes -- 9.6.1 Submarine Eruptions -- 9.6.2 Hydrothermal Eruptions -- 9.6.3 Lake Nyos Explosion -- 9.7 Summary -- References -- 10: Gravity Flow on Steep Slope -- 10.1 Introduction -- 10.2 A Physical Picture of Gravity Flows -- 10.2.1 Debris Flows -- 10.2.2 Snow Avalanches -- 10.3 Anatomy of Gravity Currents on Slope -- 10.3.1 Anatomy of Debris Flows -- 10.3.2 Anatomy of Powder-Snow Avalanches -- 10.4 Fluid-Mechanics Approach to Gravity Currents -- 10.4.1 Scaling and Flow Regimes -- 10.4.2 Rheology -- 10.4.3 Segregation and Particle Migration -- 10.4.4 Sliding-Block and Box Models -- 10.4.5 Depth-Averaged Equations. , 10.4.6 Asymptotic Expansions -- 10.5 Dense Flows -- 10.5.1 Simple Models -- 10.5.2 Depth-Averaged Equations -- 10.5.3 Elongating Viscoplastic Flows -- 10.6 Dilute Inertia-Dominated Flows -- 10.6.1 Sliding Block Model -- 10.6.2 Depth-Averaged Equations -- 10.7 Comparison with Data -- 10.7.1 Comparison with Laboratory Data -- 10.7.2 Comparison with Field Data -- 10.8 Concluding Remarks and Perspectives -- References -- Index.
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  • 2
    Publication Date: 2022-05-25
    Description: Author Posting. © Cambridge University Press, 2000. This article is posted here by permission of Cambridge University Press for personal use, not for redistribution. The definitive version was published in Journal of Fluid Mechanics 404 (2000):117-149, doi:10.1017/S0022112099007065.
    Description: In order to gain insight into the hydraulics of rotating-channel flow, a set of initial-value problems analogous to Long's towing experiments is considered. Specifically, we calculate the adjustment caused by the introduction of a stationary obstacle into a steady, single-layer flow in a rotating channel of infinite length. Using the semigeostrophic approximation and the assumption of uniform potential vorticity, we predict the critical obstacle height above which upstream influence occurs. This height is a function of the initial Froude number, the ratio of the channel width to an appropriately defined Rossby radius of deformation, and a third parameter governing how the initial volume flux in sidewall boundary layers is partitioned. (In all cases, the latter is held to a fixed value specifying zero flow in the right-hand (facing downstream) boundary layer.) The temporal development of the flow according to the full, two-dimensional shallow water equations is calculated numerically, revealing numerous interesting features such as upstream-propagating shocks and separated rarefying intrusions, downstream hydraulic jumps in both depth and stream width, flow separation, and two types of recirculations. The semigeostrophic prediction of the critical obstacle height proves accurate for relatively narrow channels and moderately accurate for wide channels. Significantly, we find that contact with the left-hand wall (facing downstream) is crucial to most of the interesting and important features. For example, no instances are found of hydraulic control of flow that is separated from the left-hand wall at the sill, despite the fact that such states have been predicted by previous semigeostrophic theories. The calculations result in a series of regime diagrams that should be very helpful for investigators who wish to gain insight into rotating, hydraulically driven flow.
    Description: The authors have been supported by the National Science Foundation through Grants (OCE-9810599 for L.J.P. and K.R.H. and OCE-9711186 for EPC). L.J.P. also received support from the Office of Naval Research under Grant N00014-95-1-0456 and K.R.H. under grant N00014-93-1-0263.
    Keywords: Rotating-channel flow ; Hydraulically driven flow
    Repository Name: Woods Hole Open Access Server
    Type: Article
    Format: 3069192 bytes
    Format: application/pdf
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