## Interfacial Fluid Dynamics and Transport ProcessesSpringer Verlag has been pleased to bring out this special volume on interfacial ?uid dynamics and transport processes. There are seventeen articles and each article is written in a pedagogical manner dealing with relevant research issues and questions. The intended audience is post-doctoral scientists, academicians and graduate students intending to pursue research and it is our hope that this volume will have lasting value. Several issues arise within the general ?eld of interfacial transport such as the instability of interfacial processes and driven ?ows. Instabilities occur when there is a sudden change in the structure of a solution as a control parameter is smoothly varied. They are usually accompanied by a change in the patterns in ?uid ?ow or temperature and concentration ?elds. Transport phenomena related instabilityattheinterfacehasmuchofitsoriginintheseminalworksofRayleigh whointhelaterpartofthe19thcenturyworkedonjets,gravitationallyunstably strati?ed ?uid layers, and on the ?rst ideas on convection. Some of these ideas were subsequently modi?ed by the work of Marangoni, Block and Pearson on surface tension driven instabilities. Over the years similar concepts have found place in solidi?cation and melting, electrodeposition, and other phase change problems. |

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### Contents

1 | |

Active Control of the TwoFluid BénardMarangoni Instability | 15 |

Convective Instabilities in Layered Systems | 21 |

TwoLayer Systems | 27 |

ThreeLayer Systems | 38 |

SaltFinger Instability Generated by SurfaceTension | 45 |

E Melnikov Altai State University | 50 |

Parallel Flow Model | 53 |

B J Fischer G Kasperski | 177 |

The Liquid Bridge Configuration | 181 |

The Numerical Method | 189 |

Towards a Regular Model? | 197 |

Problem Formulation | 204 |

References | 212 |

The Influence of Static and Dynamic FreeSurface Deformations | 213 |

Static Deformations | 224 |

Observations on Interfacial Convection in Multiple Layers | 59 |

The Physics of Evaporation with Convection | 66 |

Scope for Future Work | 76 |

thomaslmm jussieu fr Department of Chemical Engineering | 78 |

Autonomous Operator Thermocapillary Spreading | 84 |

Marangoni Spreading from a Finite | 93 |

Conclusion | 103 |

Thermocapillary Convection in Cylindrical Geometries | 107 |

Liquid Bridge with a Curved Surface | 120 |

References | 129 |

S Nakamura renardyycalvin math vt | 131 |

Effect of Oxygen Partial Pressure on the SurfaceTensionDriven Flow | 142 |

Flat Surface of a Czochralski Melt | 150 |

Miyukigaoka D Schwabe | 154 |

LowPrandtlNumber Marangoni Convection Driven | 156 |

Computational Model | 162 |

Results | 168 |

Summary and Conclusions | 174 |

Conclusions | 237 |

Department of Chemical Engineering Bat 508 B P 133 91403 Orsay Cedex France | 240 |

Numerical Model | 245 |

Conclusions | 261 |

Israel Institute of Technology vshevulb ac | 263 |

Numerical Method | 281 |

Discussion | 287 |

Leaky Dielectric Experiments | 295 |

Conclusions | 302 |

Thats Incurable | 317 |

Dynamics Stability and Solidification of an Emulsion | 324 |

Stability of the SpaceUniform State | 328 |

Discontinuous Solutions | 334 |

Thermocapillary Drift of a Drop near the Surfaces | 344 |

Discussion and Conclusion | 351 |

Evaporation from a Liquid Layer | 359 |

A Solidification Front | 365 |

### Other editions - View all

Interfacial Fluid Dynamics and Transport Processes Ranga Narayanan,Dietrich Schwabe Limited preview - 2003 |

Interfacial Fluid Dynamics and Transport Processes Ranga Narayanan,Dietrich Schwabe No preview available - 2010 |

Interfacial Fluid Dynamics and Transport Processes Ranga Narayanan,Dietrich Schwabe No preview available - 2014 |

### Common terms and phrases

amplification analysis aspect ratio axisymmetric Biot number boundary conditions buoyancy coefficient constant contact angle contact line corresponding Crystal Growth Czochralski density dependence diffusivity dimensionless disturbance droplet dynamic deformation eigenvalue electron beam evaporation energy equations evaporation experimental experiments film Fluid Mech force free surface frequency function gravity heat flux increasing initial instability interface isothermal linear stability liquid bridge liquid layer Marangoni effect Marangoni number melt surface microgravity mode molten silicon motion normal oscillatory oxygen oxygen partial pressure parameters partial pressure perturbation Phys physical Prandtl number problem region Reynolds number scale shear stress shown in Fig simulations solid surface solution steady surface deformation surface tension surface-tension-driven flow surfactant tangential Tcold temperature field temperature gradient temperature oscillation thermal thermocapillary thermocapillary convection thermocapillary effect thermocapillary flow thermocouples vector velocity vertical viscosity volume wavenumber zero