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On the motion of rigid bodies submerged in incompressible fluids

Michel, Eberhard J.

German Title: Zur Bewegung starrer Körper in viskosen Fluiden

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Abstract

Understanding the interaction of fluids and solids poses many unsolved and even unchallenged questions. Here, the motion of an arbitrary number of bodies is considered, which are immersed in an arbitrary incompressible Fluid in three-dimensional space (particulate flows and thick suspensions). This work considers the following questions in three dimensions: - How can the transport of many submerged bodies within an incompressible viscous fluid be modeled most efficiently? - How can realistic collisions be incorporated into a model, and what happens during a collision? - How can a particular velocity field and the associated transport of the bodies be constructed?

Translation of abstract (German)

Die mathematische Behandlung der Interaktion von Fluiden und Festkörpern ist noch voller ungelöster Probleme. In dieser Arbeit wird die Bewegung einer beliebigen Zahl von Körpern in einem beliebigen Fluid im dreidimensionalen Raum untersucht (Partikelflüsse und grobe Suspensionen). Im Einzelnen werden die folgenden Fragen untersucht. - Wie modelliert man den Transport von vielen Körpern in einem inkompressiblen Fluid möglichst effizient? - Wie modelliert man Kollisionen, und wie laufen diese ab? - Wie konstruiert man ein Geschwindigkeitsfeld und die zugehörigen Bewegungen der eingebetteten Körper?

Item Type: Dissertation
Supervisor: Jäger, Prof. Dr. Willi
Date of thesis defense: 17 July 2008
Date Deposited: 28 Jul 2008 11:52
Date: 2008
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Department of Applied Mathematics
Subjects: 510 Mathematics
Controlled Keywords: Partielle Differentialgleichung, Nichtlineare partielle Differentialgleichung, Navier-Stokes-Gleichung, Schwache Lösung, Zweiphasensystem
Uncontrolled Keywords: Partial Differential Equations , Nonlinear Partial Differential Equations , Navier-Stokes Equations , Weak Solutions , Multiphase Fluid
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