Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops

Other | August 1, 1995

byMiddleman, Stanley, Stanley Middleman

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This concise book is intended to fulfill two purposes: to provide an important supplement to classic texts by carrying fluid dynamics students on into the realm of free boundary flows; and to demonstrate the art of mathematical modeling based on knowledge, intuition, and observation. In the authors words, the overall goal is make the complex simple, without losing the essence--the virtue--of the complexity.
Modeling Axisymmetric Flows: Dynamics of Films, Jets, and Drops is the first book to cover the topics of axisymmetric laminar flows; free-boundary flows; and dynamics of drops, jets, and films. The text also features comparisons of models to experiments, and it includes a large selection of problems at the end of each chapter.

Key Features
* Contains problems at the end of each chapter
* Compares real-world experimental data to theory
* Provides one of the first comprehensive examinations of axisymmetric laminar flows, free-boundary flows, and dynamics of drops, jets, and films
* Includes development of basic equations
* Written in a style suitable for use as a textbook

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From the Publisher

This concise book is intended to fulfill two purposes: to provide an important supplement to classic texts by carrying fluid dynamics students on into the realm of free boundary flows; and to demonstrate the art of mathematical modeling based on knowledge, intuition, and observation. In the authors words, the overall goal is make the c...

Format:OtherDimensions:299 pages, 1 × 1 × 1 inPublished:August 1, 1995Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0080536638

ISBN - 13:9780080536637

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Table of Contents

Preface. Acknowledgements.Laminar Axisymmetric FlowsBasic Dynamic and Kinematic Equations. Steady Fully Developed (Poiseuille) Flow. Flow through a Tube with a Variable Radius--The Lubrication Approximation. An IntegralTechnique for Solution of the Lubrication Equations. The Excess Pressure Loss across the Constriction. The Velocity Field through the Constriction. Flow through an Annular Region with a Variable Radius. Axisymmetric Flow through a Leaky Tube.LaminarFlow through a Tube with a Thin Annular Adherent Liquid FilmAxisymmetric Flow through a Lubricated Tube. Removal of an Annular Liquid Layer by Shearing--A Quasi-steady Model. The Instability of a Static Annular Film of Liquid. The Deposition of a ThinAnnular Film of Liquid inside a Capillary. A More Careful Discussion of the Geometry and Dynamics of a Free Boundary Problem. Depletion of an Annular Liquid Film.Steady Laminar Axisymmetric Flow from a Tube: Exit EffectsThe Horizontal Jet. Draw-down of a Vertical Jet. A Note on Dimensionless Groups.The Transitions from Drops to a Coherent Jet and Back to DropsDripping from a Vertical Tube. Drops on Demand. Stability of a Horizontal Jet. Linear Stability of an Inviscid Jet. Linear Stability of the Viscous Jet. A One-Dimensional Approximation to the Jet Equations. The Nonlinear Analysis of Jet Stability.Impingement of a Coherent Jet Normal to a Rigid SurfaceIntroduction. A Boundary Layer Model (Watson, 1964). The Hydraulic Jump. Displacement of a Thin Viscous Film by an Impinging Turbulent Jet. Two-Fluid Homann Flow. Laminar Flow over a Disk.The Transfer of a Drop from a Capillary to an Impermeable SurfaceIntroduction. Shape of a Static Drop. Breakaway of a Pendent Drop. Stability of an Axisymmetric Bridge. Impact of a Drop with a Solid Surface.The Isolated Drop on an Impermeable SurfaceSpreading of an Isolated Drop with No Surface Tension. Spreading of a Drop with Surface Tension.Capillary Penetration DynamicsIntroduction. Capillary Wicking. Inertial Effects. Radial Penetration through a Narrow Planar Space. Penetration Fed by a Drop of a Finite Volume. Wicking of a Drop into a Porous Surface.Ultrathin Films: Disjoining PressureIntroduction. Effect of the Disjoining Pressure on Equilibrium Films. Dewetting.The Interaction of a Deformable Drop with a SurfaceThe Approach of a Solid Sphere to a Rigid Plane. Slow Approach of a Viscous Drop to a Solid Surface. The Dimpled Drop. Film Evolution Equation for the Dimpled Drop. Inertial Effects in Film Thinning. Drops and Bubbles Crossing Liquid Interfaces. Coalescence of Drops and Bubbles. Afterword. Index.