Overview
- The first book to present an extensive treatment of Transport Processes at Fluidic Interfaces
- Provides broad and multifaceted insights into these transport processes
- Provides a detailed overview of recent advances in this field
Part of the book series: Advances in Mathematical Fluid Mechanics (AMFM)
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About this book
There are several physico-chemical processes that determine the behavior of multiphase fluid systems – e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface – and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models, which especially account for the local processes at the interface.
This book presents recent findings on the rigorous derivation and mathematical analysis of such models and on the development of numerical methods for direct numerical simulations. Validation results are based on specifically designed experiments using high-resolution experimental techniques. A special feature of this book is its focus on an interdisciplinary research approach combining Applied Analysis, Numerical Mathematics, Interface Physics and Chemistry, as well as relevant research areas in the Engineering Sciences. The contributions originated from the joint interdisciplinary research projects in the DFG Priority Programme SPP 1506 “Transport Processes at Fluidic Interfaces.”
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Table of contents (23 chapters)
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Front Matter
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Numerical Methods for Sharp Interface Models
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Front Matter
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Analysis and Simulation of Diffusive Interface Models
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Front Matter
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Experimental and Numerical Investigation of Interfacial Phenomena
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Front Matter
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Editors and Affiliations
About the editors
Dieter Bothe is Professor for Mathematical Modeling and Analysis in the Department of Mathematics and at the Center of Smart Interfaces at Technical University of Darmstadt. His research concerns nonlinear evolution equations, reaction-diffusion systems and transport processes in two-phase flows, combining modeling with mathematical analysis and numerical simulations.
Arnold Reusken is Professor of Numerical Analysis at RWTH-Aachen. His research areas concerns analysis and application of multigrid solvers and other fast iterative methods for discretized PDEs, finite element methods and numerical methods for the simulation of two-phase incompressible flow problems.
Bibliographic Information
Book Title: Transport Processes at Fluidic Interfaces
Editors: Dieter Bothe, Arnold Reusken
Series Title: Advances in Mathematical Fluid Mechanics
DOI: https://doi.org/10.1007/978-3-319-56602-3
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-56601-6Published: 26 July 2017
Softcover ISBN: 978-3-319-85953-8Published: 13 May 2018
eBook ISBN: 978-3-319-56602-3Published: 13 July 2017
Series ISSN: 2297-0320
Series E-ISSN: 2297-0339
Edition Number: 1
Number of Pages: XV, 679
Number of Illustrations: 82 b/w illustrations, 127 illustrations in colour
Topics: Computational Mathematics and Numerical Analysis, Partial Differential Equations, Industrial Chemistry/Chemical Engineering, Classical and Continuum Physics