The physics of microdroplets:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley
2012
Salem, Mass. Scrivener Publishing |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | "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"-- |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781118401323 9781118401309 9781118401330 9780470938805 |
Internformat
MARC
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| 100 | 1 | |a Berthier, Jean |d 1952- |e Verfasser |0 (DE-588)173806376 |4 aut | |
| 245 | 1 | 0 | |a The physics of microdroplets |c Jean Berthier, CEA/LETI, University of Grenoble, France and Kenneth A. Brakke, Department of Mathematical Sciences, Susquehanna University, USA |
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2012 | |
| 264 | 1 | |a Salem, Mass. |b Scrivener Publishing | |
| 300 | |a 1 Online-Ressource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a "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"-- | ||
| 505 | 0 | |a 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 -- | |
| 505 | 0 | |a 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 -- | |
| 505 | 0 | |a 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 -- | |
| 505 | 0 | |a 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 -- | |
| 505 | 0 | |a 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 | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING / Electronics / Microelectronics |2 bisacsh | |
| 650 | 7 | |a Capillarity |2 fast | |
| 650 | 7 | |a Microdroplets |2 fast | |
| 650 | 7 | |a Microfluidics |2 fast | |
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| 650 | 4 | |a Microfluidics | |
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| 700 | 1 | |a Brakke, Kenneth A. |e Verfasser |4 aut | |
| 856 | 4 | 0 | |u https://onlinelibrary.wiley.com/doi/book/10.1002/9781118401323 |x Verlag |3 Volltext |
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Datensatz im Suchindex
| _version_ | 1804152164067573760 |
|---|---|
| any_adam_object | |
| author | Berthier, Jean 1952- Brakke, Kenneth A. |
| author_GND | (DE-588)173806376 |
| author_facet | Berthier, Jean 1952- Brakke, Kenneth A. |
| author_role | aut aut |
| author_sort | Berthier, Jean 1952- |
| author_variant | j b jb k a b ka kab |
| building | Verbundindex |
| bvnumber | BV041829034 |
| collection | ZDB-35-WIC ZDB-35-WCS |
| contents | 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 |
| ctrlnum | (OCoLC)795998928 (DE-599)BVBBV041829034 |
| dewey-full | 532/.05 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 532 - Fluid mechanics |
| dewey-raw | 532/.05 |
| dewey-search | 532/.05 |
| dewey-sort | 3532 15 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Electronic eBook |
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Brakke, Department of Mathematical Sciences, Susquehanna University, USA</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Hoboken, NJ</subfield><subfield code="b">Wiley</subfield><subfield code="c">2012</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Salem, Mass.</subfield><subfield code="b">Scrivener Publishing</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"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. 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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"--</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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 --</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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 -- </subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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 -- </subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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 -- </subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">10.5 Examples of Electrowetting for Optics-Tunable Lenses and Electrofluidic Display 335 -- 10.6 Conclusion 336 -- 10.7 References 337 -- 11. 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| id | DE-604.BV041829034 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:06:21Z |
| institution | BVB |
| isbn | 9781118401323 9781118401309 9781118401330 9780470938805 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027273952 |
| oclc_num | 795998928 |
| open_access_boolean | |
| owner | DE-703 DE-861 |
| owner_facet | DE-703 DE-861 |
| physical | 1 Online-Ressource |
| psigel | ZDB-35-WIC ZDB-35-WCS UBT_ZDB-35-WCS_2012 FRO_PDA_WIC UBG_PDA_WIC FHR_PDA_WIC |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Wiley Scrivener Publishing |
| record_format | marc |
| spelling | Berthier, Jean 1952- Verfasser (DE-588)173806376 aut The physics of microdroplets Jean Berthier, CEA/LETI, University of Grenoble, France and Kenneth A. Brakke, Department of Mathematical Sciences, Susquehanna University, USA Hoboken, NJ Wiley 2012 Salem, Mass. Scrivener Publishing 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier "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"-- 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 TECHNOLOGY & ENGINEERING / Electronics / Microelectronics bisacsh Capillarity fast Microdroplets fast Microfluidics fast Microdroplets Microfluidics Capillarity Mikrofluidik (DE-588)4803438-1 gnd rswk-swf Benetzung (DE-588)4005493-7 gnd rswk-swf Kapillarität (DE-588)4029556-4 gnd rswk-swf Mikrotropfen (DE-588)4334279-6 gnd rswk-swf Mikrofluidik (DE-588)4803438-1 s Kapillarität (DE-588)4029556-4 s Mikrotropfen (DE-588)4334279-6 s Benetzung (DE-588)4005493-7 s DE-604 Brakke, Kenneth A. Verfasser aut https://onlinelibrary.wiley.com/doi/book/10.1002/9781118401323 Verlag Volltext |
| spellingShingle | Berthier, Jean 1952- Brakke, Kenneth A. The physics of microdroplets 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 TECHNOLOGY & ENGINEERING / Electronics / Microelectronics bisacsh Capillarity fast Microdroplets fast Microfluidics fast Microdroplets Microfluidics Capillarity Mikrofluidik (DE-588)4803438-1 gnd Benetzung (DE-588)4005493-7 gnd Kapillarität (DE-588)4029556-4 gnd Mikrotropfen (DE-588)4334279-6 gnd |
| subject_GND | (DE-588)4803438-1 (DE-588)4005493-7 (DE-588)4029556-4 (DE-588)4334279-6 |
| title | The physics of microdroplets |
| title_auth | The physics of microdroplets |
| title_exact_search | The physics of microdroplets |
| title_full | The physics of microdroplets Jean Berthier, CEA/LETI, University of Grenoble, France and Kenneth A. Brakke, Department of Mathematical Sciences, Susquehanna University, USA |
| title_fullStr | The physics of microdroplets Jean Berthier, CEA/LETI, University of Grenoble, France and Kenneth A. Brakke, Department of Mathematical Sciences, Susquehanna University, USA |
| title_full_unstemmed | The physics of microdroplets Jean Berthier, CEA/LETI, University of Grenoble, France and Kenneth A. Brakke, Department of Mathematical Sciences, Susquehanna University, USA |
| title_short | The physics of microdroplets |
| title_sort | the physics of microdroplets |
| topic | TECHNOLOGY & ENGINEERING / Electronics / Microelectronics bisacsh Capillarity fast Microdroplets fast Microfluidics fast Microdroplets Microfluidics Capillarity Mikrofluidik (DE-588)4803438-1 gnd Benetzung (DE-588)4005493-7 gnd Kapillarität (DE-588)4029556-4 gnd Mikrotropfen (DE-588)4334279-6 gnd |
| topic_facet | TECHNOLOGY & ENGINEERING / Electronics / Microelectronics Capillarity Microdroplets Microfluidics Mikrofluidik Benetzung Kapillarität Mikrotropfen |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/9781118401323 |
| work_keys_str_mv | AT berthierjean thephysicsofmicrodroplets AT brakkekennetha thephysicsofmicrodroplets |