Interfacial Convection in Multilayer Systems (Applied Mathematical Sciences Book 179)

This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces. This new edition includes completely updated and new material on flows in ultra thin films and brings up to date progress made in the technology on micro and nano scales. Also, this revised edition will reflect progress in the dynamics of complex fluids. The interfacial convection is a widespread phenomenon which has numerous applications. This book describes the basic models of interfacial convection used on different spatial scales. It presents a variety of physical mechanisms and types of instability characteristic for liquid systems with interfaces. The book summarizes results obtained in the field of interfacial convection during a number of decades, including recent developments in exploration of microfluidic convective flows. The book will appeal to researchers and graduate students working in the field of fluid dynamics. It will help readers to master the mathematical approaches which are used for studying convective flows and understand the underlying physical phenomena. This new edition has been updated throughout and contains the significant progress achieved in studying phenomena in ultra-thin films, in systems with phase transitions, multicomponent systems, and nanosuspensions. Reviews of first edition: "In summary, the bulk of this book is excellent ... If the authors could expand the content of chapters six and seven to give the same level of coverage as the first five chapters, this would be an even more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows." (Journal of Fluid Mechanics, 2007) "This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution." (Mathematical Reviews, 2007) Front Matter....Pages i-xiii Introduction. Models of Interfacial Convection....Pages 1-40 Types of Convective Instability in Systems with an Interface....Pages 41-149 Bénard Problem in Multilayer Systems with Undeformable Interfaces....Pages 151-236 Bénard Problem in Multilayer Systems with Deformable Interfaces....Pages 237-266 Stability of Flows....Pages 267-329 Flows in Ultrathin Two-Layer Films....Pages 331-427 Outlook....Pages 429-451 Back Matter....Pages 453-498

This book gives a systematic investigation of convection in systems comprised of liquid layers with deformatable interfaces.
This new edition includes completely updated and new material on flows in ultra thin films and brings up to date progress made in the technology on micro and nano scales. Also, this revised edition will reflect progress in thedynamics of complex fluids.