Capillary surfaces : shape-stability-dynamics, in particular under weightlessness /

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Bibliographic Details
Author / Creator:	Langbein, Dieter W., 1932-
Imprint:	Berlin ; New York : Springer, c2002.
Language:	English
Series:	Springer tracts in modern physics, 0081-3869 ; v. 178 Springer tracts in modern physics ; 178.
Subject:	Liquid-liquid interfaces. Gas-liquid interfaces. Materials -- Effect of reduced gravity on. Materials -- Effect of space environment on. Gas-liquid interfaces. Liquid-liquid interfaces. Materials -- Effect of reduced gravity on. Materials -- Effect of space environment on.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/4745701

Hidden Bibliographic Details
ISBN:	3540418156
Language / Script:	Available for non-commercial, internal use by students, on-site users of library facilities, and faculty for academic and research purposes only.
Notes:	Caption title ; description based on screen of 2002-09-11. Includes bibliographical references and index. Access restricted to subscribers. Text (HTML/PDF), image (GIF/PDF) and search engine. Also published in print format. Mode of access: Intranet.

Table of Contents:

Notation
1. Introduction
1.1. Space Missions
1.2. Interdisciplinary Stimuli
1.3. Problems of Fluid Physics
1.4. Zero Mass Acceleration or Weightlessness
1.5. Flight Selection and Simulation
References
2. Interface Tension and Contact Angle
2.1. Molecular Attraction and Condensation
2.2. The Interface Tension
2.2.1. Theoretical Aspects
2.2.2. Experimental Methods
2.2.3. Qualitative Rules for the Interface Energy
2.3. The Static Contact Angle
2.4. The Dynamic Contact Angle
2.5. Merging of Drops and Bubbles
2.6. Adhesion Forces in Liquid Films
References
3. Capillary Shape and Stability
3.1. Balance of Forces
3.2. Minimization of Energy
3.3. Analytical Solutions of the Capillary Equation
3.3.1. Rise of Liquid in a Tube
3.3.2. Spherical Surfaces
3.3.3. Rise of a Liquid in Contact with an Infinite Plane
3.4. Axisymmetric Surfaces
3.5. Container Shape and Wetting
3.6. Drops at Low Bond Numbers
3.7. Representations of the Capillary Equation
3.7.1. Cartesian Coordinates z(x,y)
3.7.2. Polar Coordinates r($, y> )
3.7.3. Cylindrical Coordinates r(ip, z)
3.7.4. Cylindrical Coordinates z(r, y> )
3.7.5. Axisymmetry
References
4. Stability Criteria
4.1. Stability of Capillary Surfaces
4.2. Breakage of Cylindrical Surfaces
4.3. Second Variation of Energy
4.4. Normal Deformations of Liquid Zones
4.4.1. Instabilities of Periodic Surfaces
4.4.2. Normal Deformations of a Circular Cylinder
4.4.3. The Symmetric Instability of the Catenoid
4.5. Nonaxisymmetric Instabilities
4.5.1. Lateral Deformations of the Center Line
4.5.2. Liquid Rings
4.6. The Minimum-Volume Condition
4.7. Linear Stability Analysis
References
5. Axisymmetric Liquid Columns at Rest and Under Rotation
5.1. Introduction
5.2. The Normal Deformations
5.2.1. The Symmetric Mode D{{2,0}}
5.2.2. The Antimetric Mode D{{1,0}}
5.2.3. The Lateral Instability D{{0,1}}
5.2.4. Stability of a Liquid Ring
5.3. Nearly Cylindrical Surfaces
5.3.1. Fourier Expansion of an Axisymmetric Surface
5.3.2. The Symmetric Instability D{{2, 0}}
5.3.3. The Antimetric Instability d{{1, 0}}
5.3.4. The Lateral Mode D{{0, 1}}
5.3.5. Nonzero Bond Number
5.4. Rotating Free Drops
5.4.1. Motivation
5.4.2. Shape of Rotating Drops
5.4.3. Stability
5.4.4. Conservation of Angular Momentum
5.4.5. Finite-Element Analysis
References
6. Liquid Zones
6.1. Liquid Bridges Between Parallel Plates
6.1.1. Introduction
6.1.2. Branches of Solutions of the Capillary Equation
6.1.3. Properties of the Inflection Point
6.1.4. The Instability Due to the Bifurcation (Due to D{{1, 0}})
6.1.5. The Instability Due to the Minimum Volume (Due to D{{2, 0}})
6.1.6. Differing Contact Angles
6.1.7. Gravity
6.1.8. Key Points
6.2. Double Float Zones
6.2.1. Introduction
6.2.2. Unduloids and Nodoids
6.2.3. Branches of Solutions
6.2.4. Results of the Spacelab Experiments
6.2.5. The Stability Diagram
6.2.6. Key Points
References
7. Canthotaxis/Wetting Barriers/Pinning Lines
7.1. Introduction
7.2. Straight Wetting Barriers
7.2.1. The Wetting Tile
7.2.2. The Wetting Stripe
7.2.3. The Wetting Cross
7.2.4. Circular Tubes
7.2.5. Large Liquid Volumes
7.3. Liquid Surfaces in Wedges
7.4. Taylor Expansions at Small Radü
7.4.1. Alternative Winding Functions
7.5. Liquid Surfaces in Square Cylinders, cos ¿ 1 + cos ¿ 2 =0
7.6. Towards Modeling Canthotaxis
7.6.1. Helicoid and Catenoid
7.6.2. Winding Rates
7.6.3. Winding Rate of Infinity
7.6.4. Circular Tube with Complementary Contact Angles
References
8. Cylindrical Containers
8.1. Introduction
8.1.1. Fields of Application
8.1.2. Liquids in Edges
8.2. The Integral Theorem for Cylindrical Vessels
8.2.1. Application of Divergence Theorem
8.2.2. Minimization of Energy with Respect to Height
8.2.3. Evaluation of Wedge Contributions
8.3. Examples
8.3.1. Ice Cream Cone
8.3.2. Rhombic Cylinder
8.3.3. Regular Polygon
8.3.4. Liquid in a Rotating Wedge
8.3.5. No Wetting of Wedge
8.3.6. Liquid Volume Pressed into a Wedge
8.4. Stability of Convex Cylindrical Surfaces
8.4.1. Longitudinal Normal Deformations
8.4.2. Axially Periodic Meniscus Shapes
8.4.3. Adjustment to Fit Solid Edges
8.4.4. Volume and Energy
8.4.5. Rotating Wedges
8.5. The MAXUS Experiment DYLCO
References
9. Liquid Surfaces in Polyhedral Containers
9.1. Spherical Surfaces at Edges and Corners
9.1.1. Nonwetting Drops
9.1.2. Drops in Planar Wedges
9.1.3. Drops in Spherical Wedges
9.1.4. Liquid Drops in a Tripod
9.1.5. Regular W-Pods
9.2. Transition Between the Corner and the Wedge
9.2.1. Liquid Volumes in Polyhedra
9.2.2. Exponential Piling-Up in Corners
9.2.3. Numerical Calculation of Corner Volume
9.2.4. Similarity of Corner Volumes
9.2.5. Finite Wedge Length
9.2.6. Accuracy of the Present Approach
9.2.7. Prospects
References
10. Playing with Stability
10.1. Proboscides
10.1.1. Finite Rhombic Prisms
10.1.2. Canonical Proboscides
10.1.3. Interface Configuration Experiment
10.2. Exotic Containers
10.2.1. Circular Tubes with Unusual Properties
10.2.2. Adjustment of Container Shape
10.2.3. Integration of Container Shape
10.2.4. Mismatch of Volume and/or Contact Angle
10.2.5. Residual Gravity
10.2.6. Drop Tower Tests
References
11. Liquid Penetration into Tubes and Wedges
11.1. About the Momentum, or Navier-Stokes, Equation
11.2. Penetration into Capillaries
11.2.1. Cylindrical Vessels
11.2.2. Liquid Rise in Capillaries
11.2.3. Liquid Penetration into Wedges
11.2.4. Similarity Solutions for Long Times
11.2.5. Numerical Solution
11.3. Dynamics of Liquids in Edges and Corners
11.3.1. The DYLCO Experimental Module
11.3.2. Drop Towers Tests for DYLCO
11.3.3. Conduct of the IML-2 Experiment
11.3.4. Results of the DYLCO IML-2 Experiment
11.4. The Geometric Friction Coefficient ¿
11.4.1. Flow in Rectangular Tubes
11.4.2. Flow in Parallelograms
References
12. Oscillations of Liquid Columns
12.1. Introduction
12.2. Theory
12.2.1. Infinite Liquid Columns
12.2.2. The Free Fluid Surface
12.2.3. Natural Frequencies
12.2.4. Finite Liquid Columns
12.2.5. Axially Damped Oscillations
12.2.6. Symmetric and Antimetric Oscillations
12.2.7. Resonance Detection and Flow Patterns
12.3. Experiments
12.3.1. Short Liquid Columns
12.3.2. Plateau Simulation
12.3.3. Automatic Resonance Detection
12.3.4. The LICOR Runs
12.4. Lateral Oscillations of Liquid Bridges
12.4.1. Damped Harmonic Oscillations
12.4.2. Periodic Lateral Deformations
12.4.3. Coupled Damped Oscillations
References
13. Microgravity Experiments in Sounding Rockets, Spacelab and EURECA
13.1. TEXUS 1-39
13.2. MAXUS 1-4
13.3. MiniTEXUS 1-6
13.4. MASER 1-8
13.5. SPAR I-X
13.6. TR-IA 1-7
13.7. Skylab, May 1973
13.8. Apollo-Soyuz Test Project (ASTP)
13.9. Spacelab 1 (STS-9)
13.10. Spacelab 3 (STS-51B)
13.11. Spacelab D-1 (STS-61A)
13.12. Spacelab D-2 (STS-55)
13.13. IML-1 (STS-42)
13.14. Spacelab J (STS-47)
13.15. IML-2 (STS-65)
13.16. EURECA
13.17. MIR and FOTON
Bibliography
Subject Index

Capillary surfaces : shape-stability-dynamics, in particular under weightlessness /

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