Capillary Surfaces

Shape - Stability - Dynamics, in Particular Under Weightlessness

By: U. Merbold (Foreword by), Dieter W. Langbein

Write A Review

Hardcover | 29 January 2002

At a Glance

Hardcover
392 Pages

Dimensions(cm)
24.13 x 17.15 x 2.54

Hardcover

$329.00

or 4 interest-free payments of $82.25 with

Ships in 5 to 7 business days

Even today flying into space is an undertaking at the borderline of what is curreiitly feasible. h veq complex assen bly of sophist icated machinery is needed in order to reach orbit and return from there to Eart, ll safely. A11 ast, ronaut knows that only if t, he rocket engines, inertial navigat, ion platforms. hydraulic systems; generators of electrical power, att, itude control systems, life support sj stems, coinput ers. data transmission equipment, heat shields and many other components work flawlessly can he or she accomplish a mission in good llealt, h. I11 other words there is risk, but the odds are better than even. How else could a man or a woman see the incredible beauty of our planet Earth from a clist, ance? Take t, he combination of it, s colours. white and blue. It is so breatht, akingly stunning, that most likely not even a poet could find words to adequately describe it. There is the curved line of the horizon with an incredibly black slij above it. L4t first sight it is evident how elidless and empty the universe actually is. The Eart, h's horizon is fringed with a royal blue seam, our at, mosphere. Its beauty and fragility are thrilling, and seen from orbit it is instantly apparent that there is not much air around us.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

Orders over $79.00 qualify for free shipping.

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Engineering & Technology Other Technologies & Applied Sciences Space Science Medicine Medicine in General Science Physics Materials & States of Matter Classical Mathematics Fluid Mechanics Mechanical Engineering & Materials

Materials Science Quantum Physics & Quantum Mechanics & Quantum Field Theory Applied Physics Astrophysics

Notation	p. XV
Introduction	p. 1
Space Missions	p. 1
Interdisciplinary Stimuli	p. 6
Problems of Fluid Physics	p. 9
Zero Mass Acceleration or Weightlessness	p. 13
Flight Selection and Simulation	p. 15
References	p. 18
Interface Tension and Contact Angle	p. 21
Molecular Attraction and Condensation	p. 21
The Interface Tension	p. 24
Theoretical Aspects	p. 24
Experimental Methods	p. 25
Qualitative Rules for the Interface Energy	p. 27
The Static Contact Angle	p. 30
The Dynamic Contact Angle	p. 31
Merging of Drops and Bubbles	p. 35
Adhesion Forces in Liquid Films	p. 37
References	p. 38
Capillary Shape and Stability	p. 41
Balance of Forces	p. 41
Minimization of Energy	p. 44
Analytical Solutions of the Capillary Equation	p. 47
Rise of Liquid in a Tube	p. 47
Spherical Surfaces	p. 49
Rise of a Liquid in Contact with an Infinite Plane	p. 51
Axisymmetric Surfaces	p. 52
Container Shape and Wetting	p. 57
Drops at Low Bond Numbers	p. 59
Representations of the Capillary Equation	p. 61
Cartesian Coordinates z(x,y)	p. 62
Polar Coordinates r($, y>)	p. 62
Cylindrical Coordinates r(ip, z)	p. 63
Cylindrical Coordinates z(r, y>)	p. 63
Axisymmetry	p. 64
References	p. 65
Stability Criteria	p. 67
Stability of Capillary Surfaces	p. 67
Breakage of Cylindrical Surfaces	p. 69
Second Variation of Energy	p. 73
Normal Deformations of Liquid Zones	p. 75
Instabilities of Periodic Surfaces	p. 75
Normal Deformations of a Circular Cylinder	p. 76
The Symmetric Instability of the Catenoid	p. 77
Nonaxisymmetric Instabilities	p. 79
Lateral Deformations of the Center Line	p. 79
Liquid Rings	p. 81
The Minimum-Volume Condition	p. 83
Linear Stability Analysis	p. 85
References	p. 87
Axisymmetric Liquid Columns at Rest and Under Rotation	p. 89
Introduction	p. 89
The Normal Deformations	p. 90
The Symmetric Mode D{2,0}	p. 92
The Antimetric Mode D{1,0}	p. 94
The Lateral Instability D{0,1}	p. 96
Stability of a Liquid Ring	p. 98
Nearly Cylindrical Surfaces	p. 101
Fourier Expansion of an Axisymmetric Surface	p. 101
The Symmetric Instability D{2, 0}	p. 102
The Antimetric Instability d{1, 0}	p. 102
The Lateral Mode D{0, 1}	p. 103
Nonzero Bond Number	p. 104
Rotating Free Drops	p. 106
Motivation	p. 106
Shape of Rotating Drops	p. 107
Stability	p. 110
Conservation of Angular Momentum	p. 113
Finite-Element Analysis	p. 114
References	p. 117
Liquid Zones	p. 119
Liquid Bridges Between Parallel Plates	p. 119
Introduction	p. 119
Branches of Solutions of the Capillary Equation	p. 120
Properties of the Inflection Point	p. 123
The Instability Due to the Bifurcation (Due to D{1, 0})	p. 125
The Instability Due to the Minimum Volume (Due to D{2, 0})	p. 127
Differing Contact Angles	p. 129
Gravity	p. 129
Key Points	p. 134
Double Float Zones	p. 135
Introduction	p. 135
Unduloids and Nodoids	p. 137
Branches of Solutions	p. 138
Results of the Spacelab Experiments	p. 141
The Stability Diagram	p. 143
Key Points	p. 145
References	p. 147
Canthotaxis/Wetting Barriers/Pinning Lines	p. 149
Introduction	p. 149
Straight Wetting Barriers	p. 151
The Wetting Tile	p. 151
The Wetting Stripe	p. 153
The Wetting Cross	p. 154
Circular Tubes	p. 155
Large Liquid Volumes	p. 157
Liquid Surfaces in Wedges	p. 158
Taylor Expansions at Small Radü	p. 162
Alternative Winding Functions	p. 162
Liquid Surfaces in Square Cylinders, cos ¿₁ + cos ¿₂ =0	p. 164
Towards Modeling Canthotaxis	p. 169
Helicoid and Catenoid	p. 169
Winding Rates <$$>	p. 170
Winding Rate of Infinity	p. 171
Circular Tube with Complementary Contact Angles	p. 172
References	p. 177
Cylindrical Containers	p. 179
Introduction	p. 179
Fields of Application	p. 179
Liquids in Edges	p. 180
The Integral Theorem for Cylindrical Vessels	p. 182
Application of Divergence Theorem	p. 182
Minimization of Energy with Respect to Height	p. 183
Evaluation of Wedge Contributions	p. 185
Examples	p. 186
Ice Cream Cone	p. 186
Rhombic Cylinder	p. 188
Regular Polygon	p. 190
Liquid in a Rotating Wedge	p. 192
No Wetting of Wedge	p. 193
Liquid Volume Pressed into a Wedge	p. 195
Stability of Convex Cylindrical Surfaces	p. 199
Longitudinal Normal Deformations	p. 199
Axially Periodic Meniscus Shapes	p. 200
Adjustment to Fit Solid Edges	p. 201
Volume and Energy	p. 203
Rotating Wedges	p. 205
The MAXUS Experiment DYLCO	p. 205
References	p. 211
Liquid Surfaces in Polyhedral Containers	p. 213
Spherical Surfaces at Edges and Corners	p. 213
Nonwetting Drops	p. 213
Drops in Planar Wedges	p. 214
Drops in Spherical Wedges	p. 216
Liquid Drops in a Tripod	p. 217
Regular W-Pods	p. 217
Transition Between the Corner and the Wedge	p. 222
Liquid Volumes in Polyhedra	p. 222
Exponential Piling-Up in Corners	p. 223
Numerical Calculation of Corner Volume	p. 225
Similarity of Corner Volumes	p. 228
Finite Wedge Length	p. 229
Accuracy of the Present Approach	p. 231
Prospects	p. 232
References	p. 233
Playing with Stability	p. 235
Proboscides	p. 235
Finite Rhombic Prisms	p. 235
Canonical Proboscides	p. 238
Interface Configuration Experiment	p. 241
Exotic Containers	p. 246
Circular Tubes with Unusual Properties	p. 246
Adjustment of Container Shape	p. 249
Integration of Container Shape	p. 251
Mismatch of Volume and/or Contact Angle	p. 253
Residual Gravity	p. 254
Drop Tower Tests	p. 256
References	p. 258
Liquid Penetration into Tubes and Wedges	p. 259
About the Momentum, or Navier-Stokes, Equation	p. 259
Penetration into Capillaries	p. 261
Cylindrical Vessels	p. 261
Liquid Rise in Capillaries	p. 263
Liquid Penetration into Wedges	p. 264
Similarity Solutions for Long Times	p. 266
Numerical Solution	p. 269
Dynamics of Liquids in Edges and Corners	p. 272
The DYLCO Experimental Module	p. 272
Drop Towers Tests for DYLCO	p. 273
Conduct of the IML-2 Experiment	p. 274
Results of the DYLCO IML-2 Experiment	p. 276
The Geometric Friction Coefficient ¿	p. 278
Flow in Rectangular Tubes	p. 278
Flow in Parallelograms	p. 283
References	p. 285
Oscillations of Liquid Columns	p. 287
Introduction	p. 287
Theory	p. 288
Infinite Liquid Columns	p. 290
The Free Fluid Surface	p. 291
Natural Frequencies	p. 292
Finite Liquid Columns	p. 292
Axially Damped Oscillations	p. 294
Symmetric and Antimetric Oscillations	p. 295
Resonance Detection and Flow Patterns	p. 297
Experiments	p. 302
Short Liquid Columns	p. 302
Plateau Simulation	p. 303
Automatic Resonance Detection	p. 305
The LICOR Runs	p. 308
Lateral Oscillations of Liquid Bridges	p. 312
Damped Harmonic Oscillations	p. 312
Periodic Lateral Deformations	p. 314
Coupled Damped Oscillations	p. 316
References	p. 321
Microgravity Experiments in Sounding Rockets, Spacelab and EURECA	p. 323
TEXUS 1-39	p. 323
MAXUS 1-4	p. 336
MiniTEXUS 1-6	p. 337
MASER 1-8	p. 338
SPAR I-X	p. 340
TR-IA 1-7	p. 343
Skylab, May 1973	p. 345
Apollo-Soyuz Test Project (ASTP)	p. 346
Spacelab 1 (STS-9)	p. 347
Spacelab 3 (STS-51B)	p. 348
Spacelab D-1 (STS-61A)	p. 349
Spacelab D-2 (STS-55)	p. 351
IML-1 (STS-42)	p. 353
Spacelab J (STS-47)	p. 354
IML-2 (STS-65)	p. 355
EURECA	p. 357
MIR and FOTON	p. 357
Bibliography	p. 358
Subject Index	p. 361
Table of Contents provided by Publisher. All Rights Reserved.

Capillary Surfaces

Shape - Stability - Dynamics, in Particular Under Weightlessness

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

More in Physics

Quantum 2.0

The Past, Present, and Future of Quantum Physics

Seven Brief Lessons on Physics

Anniversary Edition

The Breath of the Gods

The History and Future of the Wind

Quantum Body

The New Science of Living a Longer, Healthier, More Vital Life

A Short History of Nearly Everything 2.0

Alchemy of Nine Dimensions

Activating the Full Spectrum of Consciousness

The Holographic Universe

A Periodic Tale: the bestselling life-long story of Australia's favourite science champion Dr Karl Kruszelnicki, shortlisted for the ABIA Biography

My Sciencey Memoir

Facing Infinity

Black Holes and Our Place on Earth

Astrophysics for People in a Hurry

The Universe

The Book Of The BBC TV Series Presented By Professor Brian Cox

Why Nobody Understands Quantum Physics

The Story of the Science That Shapes Our World

The Elements of Marie Curie

How the Glow of Radium Lit a Path for Women in Science

Brief Answers to the Big Questions

Final book from Stephen Hawking

"Surely You're Joking, Mr. Feynman!"

Adventures of a Curious Character

The Biggest Ideas in the Universe 2

Quanta and Fields

Physics for Beginners

For Beginners

Energy Efficiency Applications in Buildings

Volume 2: Performance Evaluation and Retrofitting Strategies

My Big TOE Awakening Discovery Inner Workings

The Complete My Big TOE Trilogy Unifying Philosophy, Physics, and Metaphysics

The Order of Time

Green and Sustainable Synthesis of Iron Oxide-Based Nanomaterials for Energy and Environmental Applications

Metal Oxides

Handbook of Power Electronics in Smart Grids and Intelligent Energy

Biofuel Perspectives

Methanol and Ethanol in Combustion Engines from Production to Practical Application

Quantum Mechanics

The Theoretical Minimum

This product is categorised by