Limit search to available items
Book Cover
E-book
Author Shtern, V. N. (Vladimir Nikolaevich), 1940- author.

Title Cellular flows : topological metamorphoses in fluid mechanics / Vladimir Shtern, SABIC, Houston, Texas
Published Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2018

Copies

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
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) competing forces, (c) jet entrainment, and (d) swirl decay. The book explains the vortex breakdown appearance, discusses its features, and indicates means of its control. Written in acceptable, non-math-heavy format, it stands to be a useful learning tool for engineers working with combustion chambers, chemical and biological reactors, and delta-wing designs"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Vendor-supplied metadata
Subject Cellular flows.
TECHNOLOGY & ENGINEERING -- Engineering (General)
TECHNOLOGY & ENGINEERING -- Reference.
Mecánica de fluidos
Células
Cellular flows
Form Electronic book
ISBN 9781108314213
110831421X
9781108290579
1108290574
1108418627
9781108418621