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Particulate Flows (Winter Semester 2014/15)

Master Mathematics, Technical Mathematics, Economical Mathematics

We consider several models to mathematically describe flows with particles. Here, we focus on the behaviour of rigid bodies in viscous flows. In addition to the influence of gravity (sedimentation) we consider also the influence of electrical effects.

Requirements: Numerical methods for Differential Equations, numerical methods in fluid mechanics.

The lectures starts 21.10.

Schedule
Lecture: Tuesday 11:30-13:00 SR 3.61
Tuesday 11:30-13:00 1C-01
Lecturers
Lecturer Prof. Dr. Willy Dörfler
Office hours: Thursday, 15:45-16:30 (for changes see German page below).
Room 3.013 Kollegiengebäude Mathematik (20.30)
Email: willy.doerfler at kit.edu

Content

Derivation of the basic fluid equations (Navier–Stokes and Stokes equations), Models for particulate flows, Stokesian dynamics, Variational methods, Flows with electrical forces, ionic flows (Nernst–Planck equations).

Examination

Oral examination.

3 LP

References

C. Pozrikidis: Introduction to theoretical and computational fluid dynamics (1997).

S. Kim, S. J. Karrila: Microhydrodynamics (2005).