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Cellular flows : topological metamorphoses in fluid mechanics

Author: V N Shtern
Publisher: Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"A cell, whose spatial extent is small compared with a surrounding flow, can develop inside a vortex. Such cells, often referred to as vortex breakdown bubbles, provide stable and clean flame in combustion chambers; they also reduce the lift force of delta wings. This book analyzes cells in slow and fast, one- and two-fluid flows and describes the mechanisms of cell generation: (a) minimal energy dissipation, (b)  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V N Shtern
ISBN: 9781108314213 110831421X 9781108290579 1108290574
OCLC Number: 1021244278
Description: 1 online resource.
Contents: Cover; Half-title; Title page; Copyright information; Table of contents; Acknowledgments; 1 Introduction: Flow Cells and Mechanisms of Their Formation; 1.1 Vortex Breakdown; 1.2 Centrifugal Convection; 1.3 Creeping Eddies; 1.4 Two-Fluid Cellular Flows; 1.5 Eddy Generation by Swirl Decay; 1.6 Eddy Generation by Jet Entrainment; 1.7 Minimal-Dissipation Eddies; 1.8 Eddies Induced by Competing Forces; 1.9 Approach; 2 Creeping Eddies; 2.1 Moffatt Eddies; 2.1.1 Corner Eddies; 2.1.2 Asymptotic Flow in a Deep Cavity; 2.1.3 Problem Formulation for a Flow in a Plane Cavity 2.1.4 Analytical Solutions Describing a Flow in a Plane CavityReduction of Partial Differential Equations to Ordinary Differential Equations; Parallel Flow; Flow with Normal-to-Wall Vorticity; Streamline Patterns; The Least-Decaying Flow; Comparison of Dissipation Rates; Summary of Asymptotic Flows in a Plane Cavity; 2.1.5 Analytical Solutions Describing a Flow in a Narrow Corner; Eddy Flow; Parallel Flow Along the Cavity; Least-Decaying Flow; 2.2 Flow in an Annular Cylindrical Cavity; 2.2.1 Problem Motivation; 2.2.2 Problem Formulation; 2.2.3 Axisymmetric Flow; Decay of Swirl Decay of Meridional Motion at Small GapDecay of Meridional Motion at any Gap; Matching Conditions; 2.2.4 Three-Dimensional Asymptotic Flow; Cylindrical Cavity; Annular Cavity; 2.3 Flow in an Annular Conical Cavity; 2.3.1 Review and Motivation; 2.3.2 Reduction of Governing Equations; 2.3.3 Analytical and Numerical Solutions; 2.3.4 Summary of the Results; 3 Two-Fluid Creeping Flows; 3.1 Interface Eddies; 3.1.1 Problem Motivation; 3.1.2 Characteristic Equation; 3.1.3 Air-Water Flows Near an Inclined Wall; 3.1.4 Air-Water Flows Near a Vertical Wall; 3.1.5 Conclusion 3.2 Air-Water Flow in a Cylindrical Container3.2.1 Problem Motivation; 3.2.2 Problem Formulation; Flow Geometry; Governing Equations; Boundary Conditions; Reduced Problem; 3.2.3 Numerical Procedure; 3.2.4 Shallow Water Spout; Flow Pattern at Hw = 0.1; Topological Changes as Hw Decreases; 3.2.5 Effect of the Centrifugal Force; 3.2.6 Changes in the Flow Topology as the Water Volume Increases; Development of Clockwise Circulation Near the Bottom Center; Merging of Near-Bottom Cells; Formation of Thin Circulation Layer in Air; Emergence of Robust Bubble-Ring Disappearance of Robust Bubble-Ring3.2.7 Features of Deep-Water Spout at Hw = 0.8; Streamline Pattern; Swirl Velocity at the Interface; Cyclostrophic Balance at the Interface; Distribution of Velocity at the Axis; 3.2.8 Collapse of Air Cells; Extension of the Thin Circulation Layer up to the Sidewall; Extension of Region CR6 up to the Top Disk; 3.2.9 The Effect of the Air-to-Water Density Ratio; 3.2.10 The Pattern Control by the Bottom Disk Corotation; 3.2.11 The Effect of Increasing Rotation of the Top Disk; 3.2.12 Summary of Topological Metamorphoses
Responsibility: Vladimir Shtern, SABIC, Houston, Texas.

Abstract:

This is a book about cellular flows, which play important roles in nature and technology. Natural examples are ocean circulations, whirlpools, water spouts, and tornadoes. Technological applications  Read more...

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