Modeling Axisymmetric Flows : Dynamics of Films, Jets and Drops
This text is intended to fulfil 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 modelling based on knowledge, intuition, and observation. In the author's words, the overall goal is to "make the complex simple, without losing the essence - the virtue - of the complexity". This volume covers 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.
- Hardback | 332 pages
- 157.48 x 238.76 x 17.78mm | 544.31g
- 14 Aug 1995
- Elsevier Science Publishing Co Inc
- Academic Press Inc
- San Diego, United States
- illustrations, index
Table of contents
Laminar Asisymmetric Flows: Basic Dynamic and Kinematic Equations. Steady Fully Developed (Poiseuille) Flow. Flow through a Tube with a Variable Radius - Lubrication Approximation. An Integral Technique 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. Laminar Flow through a Tube with a Thin Annular Adherent Liquid Film: Axisymmetric Flow through a Lubricated Tube - Removal of an Annular Liquid Layer by Shearing - A Quasisteady Model. The Instability of a Static Annular Film of Liquid. The Deposition of a Thin Annular 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 Out of a Tube-Exit Effects: The Horizontal Jet. Draw-down of a Vertical Jet. A Note on Dimensionless Groups. The Transitions from Drops to a Coherent Jet and Back to Drops: Dripping from a Vertical Tube. Drops-on-Demand. Stability of a Horizontal Jet. Stability of an Inviscid Jet. The Viscous Jet. The One-Dimensional Approximation. The Nonlinear Analysis of Jet Stability. Impingement of a Coherent Jet Normal to a Rigid Surface: Introduction. A Boundary Layer Model (Watson). The Hydraulic Jump. Displacement of a Thin Viscous Film by a Turbulent Impinging Jet. Two-Fluid Homann Flow. Laminar Flow over a Disk. The Transfer of a Drop from a Capillary to an Impermeable Surface: Introduction. 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 Surface: Spreading of an Isolated Drop with No Surface Tension. Spreading of a Drop with Surface Tension. Capillary Penetration Dynamics: Introduction. Capillary Wicking. 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 Pressure: Introduction. Effect of the Disjoining Pressure on Equilibrium Films. Dewetting. The Approach of a Deformable Drop to a Surface: The 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. Drops and Bubbles Crossing Liquid Interfaces. Coalescence of Drops and Bubbles.