The physics of microdroplets / Jean Berthier and Kenneth A. Brakke.

• Author: ProQuest (Firm); Berthier, Jean, 1952-
• TeilnehmendeR: Brakke, Kenneth A.; ProQuest (Firm)
• Year of Publication: 2012
• Language: English
• Physical Description: xviii, 369 p. :; ill. (some col.)

"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 3D liquid interfaces, gives the formulas for volume and surface of sessile and pancake droplets, analyses the behaviour of sessile droplets, analyses the behaviour of droplets between tapered plates and in wedges, presents the behaviour of droplets in microchannels investigates the effect of capillarity with the analysis of capillary rise, treats the onset of spontaneous capillary flow in open microfluidic systems, analyses the interaction between droplets, like engulfment, presents the theory and application of electrowetting"-- Provided by publisher.

Table of Contents

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.