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The physics of microdroplets /

"This book aims to give the reader the theoretical and numerical tools to understand, explain, calculate and predict the often non intuitive, observed behaviour of droplets in microsystems. After a chapter dedicated to the general theory of wetting, the book successively. Presents the theory of...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Berthier, Jean, 1952- (Autor), Brakke, Kenneth A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hoboken, New Jersey : Salem, Massachusetts : John Wiley & Sons, Inc ; Scrivener Publishing LLC, [2012]
Temas:
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • Front Matter
  • Introduction
  • Fundamentals of Capillarity
  • Minimal Energy and Stability Rubrics
  • Droplets: Shape, Surface and Volume
  • Sessile Droplets
  • Droplets Between Two Non-parallel Planes: From Tapered Planes to Wedges
  • Microdrops in Microchannels and Microchambers
  • Capillary Effects: Capillary Rise, Capillary Pumping, and Capillary Valve
  • Open Microfluidics
  • Droplets, Particles and Interfaces
  • Digital Microfluidics
  • Capillary Self-assembly for 3D Microelectronics
  • Epilogue
  • Index
  • Also of Interest.
  • Machine generated contents note: Preface xviii Acknowledgements xxi Introduction 1 1. Fundamentals of Capillarity 5 1.1 Abstract 5
  • 1.2 Interfaces and Surface Tension 5
  • 1.3 Laplace's Law and Applications 13
  • 1.4 Measuring the Surface Tension of Liquids 48
  • 1.5 Minimization of the Surface Energy and Minimal Surfaces 59
  • 1.6 References 61
  • 2. Minimal Energy and Stability Rubrics 65
  • 2.1 Abstract 65
  • 2.2 Spherical Shapes as Energy Minimizers 66
  • 2.3 Symmetrization and the Rouloids 70
  • 2.4 Increasing Pressure and Stability 75
  • 2.5 The Double-Bubble Instability 78
  • 2.6 Conclusion 81
  • 2.7 References 82
  • 3. Droplets: Shape, Surface and Volume 83
  • 3.1 Abstract 83
  • 3.2 The Shape of Micro-drops 84
  • 3.3 Electric Bonds Number 85
  • 3.4 Shape, Surface Area and Volume of Sessile Droplets 85
  • 3.5 Conclusion 103
  • 3.6 References 103
  • 4. Sessile Droplets 105
  • 4.1 Abstract 105
  • 4.2 Droplet Self-motion Under the Effect of a Contrast or Gradient of Wettability 105
  • 4.3 Contact Angle Hysteresis 112
  • 4.4 Pinning and Canthotaxis 115
  • 4.5 Sessile Droplet on a Non-ideally Planar Surface 122
  • 4.6 Droplet on Textured or Patterned Substrates 123
  • 4.7 References 140
  • 5. Droplets Between Two Non-parallel Planes: from Tapered Planes to Wedges 143
  • 5.1 Abstract 143
  • 5.2 Droplet Self-motion Between Two Non-parallel Planes 143
  • 5.3 Droplet in a Corner 151
  • 5.4 Conclusion 159
  • 5.5 References 159
  • 6. Microdrops in Microchannels and Microchambers 161
  • 6.1 Abstract 161
  • 6.2 Droplets in Micro-wells 161
  • 6.3 Droplets in Microchannels 167
  • 6.4 Conclusion 180
  • 6.5 References 180
  • 7. Capillary Effects: Capillary Rise, Capillary Pumping, and Capillary Valve 183
  • 7.1 Abstract 183
  • 7.2 Capillary Rise 183
  • 7.3 Capillary Pumping 195
  • 7.4 Capillary Valves 202
  • 7.5 Conclusions 207
  • 7.6 References 207
  • 8. Open Microfluidics 209
  • 8.1 Abstract 209
  • 8.2 Droplet Pierced by a Wire 210
  • 8.3 Liquid Spreading Between Solid Structures
  • Spontaneous Capillary Flow 216
  • 8.4 Liquid Wetting Fibers 239
  • 8.5 Conclusions 247
  • 8.6 References 248
  • 8.7 Appendix: Calculation of the Laplace Pressure for a Droplet on a Horizontal Cylindrical Wire 250
  • 9. Droplets, particles and Interfaces 251
  • 9.1 Abstract 251
  • 9.2 Neumann's Construction for liquid Droplets 251
  • 9.3 The Difference Between Liquid Droplets and Rigid Spheres at an Interface 252
  • 9.4 Liquid Droplet Deposited at a Liquid Surface 253
  • 9.5 Immiscible Droplets in Contact and Engulfment 258
  • 9.6 Non-deformable (Rigid) Sphere at an Interface 262
  • 9.7 Droplet Evaporation and Capillary Assembly 275
  • 9.8 Conclusion 288
  • 9.9 References 290
  • 10. Digital Microfluidics 293
  • 10.1 Abstract 293
  • 10.2 Electrowetting and EWOD 293
  • 10.3 Droplet Manipulation with EWOD 304
  • 10.4 Examples of EWOD in Biotechnology
  • Cell Manipulation 333
  • 10.5 Examples of Electrowetting for Optics-Tunable Lenses and Electrofluidic Display 335
  • 10.6 Conclusion 336
  • 10.7 References 337
  • 11. Capillary Self-assembly for 3D Microelectronics 341
  • 11.1 Abstract 341
  • 11.2 Ideal Case: Total Pinning on the Chip and Pad Edges 342
  • 11.3 Real Case: Spreading and Wetting 352
  • 11.4 The Importance of Pinning and Confinement 355
  • 11.5 Conclusion 357
  • 11.6 Appendix A: Shift Energy and Restoring Force 358
  • 11.7 Appendix B: Twist Energy and Restoring Torque 359
  • 11.8 Appendix C: Lift Energy and Restoring Force 361
  • 11.9 References 362
  • 12. Epilogue 365
  • Index 367.