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Birkhäuser
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Transport Processes at Fluidic Interfaces

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  • © 2017

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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Table of contents (23 chapters)

  1. Numerical Methods for Sharp Interface Models

  2. Analysis and Simulation of Diffusive Interface Models

  3. Experimental and Numerical Investigation of Interfacial Phenomena

Keywords

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.”

Editors and Affiliations

  • Fachbereich Mathematik, Technische Universität Darmstadt , Darmstadt, Germany

    Dieter Bothe

  • Institut für Geometrie und Praktische Mathematik, RWTH Aachen University, Aachen, Germany

    Arnold Reusken

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.

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