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Informationen zum Autor Jean Berthier is a Scientist at the CEA/LETI and teaches at the University of Grenoble, France. He is presently involved in the development of microdevices for liquid-liquid extraction (LLE), flow focusing devices (FFD) for bio-encapsulation of live cells, microfluidic resonators for high sensitivity biodetection and numerical methods for the prediction of droplets and interfaces behavior in microsystems. He is the first author of the book Microfluidics for Biotechnology published in 2005 with a second edition in 2010. He is also the author of the book Microdrops and Digital Microfluidics, published in 2008. Kenneth A. Brakke is Professor of Mathematics and Computer Science at Susquehanna University in Pennsylvania. He received his PhD in mathematics from Princeton University in the field of geometric measure theory. Since 1988, he has written and maintained his freely available Surface Evolver software, which shows computer models of liquid surfaces. Klappentext The Physics of Microdroplets gives the reader the theoretical and numerical tools to understand, explain, calculate, and predict the often nonintuitive observed behavior of droplets in microsystems.Microdrops and interfaces are now a common feature in most fluidic microsystems, from biology, to biotechnology, materials science, 3D-microelectronics, optofluidics, and mechatronics. On the other hand, the behavior of droplets and interfaces in today's microsystems is complicated and involves complex 3D geometrical considerations. From a numerical standpoint, the treatment of interfaces separating different immiscible phases is difficult.After a chapter dedicated to the general theory of wetting, this practical book successively details:* The theory of 3D liquid interfaces* The formulas for volume and surface of sessile and pancake droplets* The behavior of sessile droplets* The behavior of droplets between tapered plates and in wedges* The behavior of droplets in microchannels* The effect of capillarity with the analysis of capillary rise* The onset of spontaneous capillary flow in open microfluidic systems* The interaction between droplets, like engulfment* The theory and application of electrowetting* The state of the art for the approach of 3D-microelectronics using capillary alignment Zusammenfassung * The book brings a unique approach to understand, calculate and predict the behaviour of droplets and interfaces in modern microsystems * The authors have extensively used the advanced numerical software Surface Evolver to solve complex problems in droplet and interface microfluidics. Inhaltsverzeichnis 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 12 1.4 Measuring the Surface Tension of Liquids 49 1.5 Minimization of the Surface Energy 61 1.6 References 62 2. Minimal Energy and Stability Rubrics 67 2.1 Abstract 67 2.2 Spherical Shapes as Energy Minimizers 68 2.3 Symmetrization and the Rouloids 73 2.4 Increasing Pressure and Stability 77 2.5 The Double-Bubble Instability 81 2.6 Conclusion 84 2.7 References 84 3. Droplets: Shape, Surface and Volume 85 3.1 Abstract 85 3.2 The Shape of Micro-drops 86 3.3 Electric Bonds Number 87 3.4 Shape, Surface Area and Volume of Sessile Droplets 87 3.5 Conclusion 105 3.6 References 105 4. Sessile Droplets 107 4.1 Abstract 107 4.2 Droplet Self-motion Under the Effect of a Contrast or Gradient of Wettability 107 4.3 Contact Angle Hysteresis 114 4.4 Pinning and Canthotaris 117 4.5 Sessile Droplet on a Non-ideally Planar Surface 124 4.6 Droplet on Textured or Patterned ...
