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Spezialvorlesung

Mathematical Modeling of industrial fluidic processes

Nummer
011318, SS14
Dozentinnen und Dozenten
Veranstaltungstyp
Spezialvorlesung, 2+1
Ort und Zeit
Blockkurs im Rahmen der Summer School. Veranstaltung beginnt im Juni 2014 und wird dann 4+2 gehalten.
Modul-Zugehörigkeit (ohne Gewähr)
DPL:B:-:2 – Mathematik, Diplom (auslaufend)
DPL:F:-:1 – Mathematik für andere Fächer (Service)
Sprechstunde zur Veranstaltung
n. V.
Beginn der Veranstaltung
03.06.2014
Inhalt

This course aims to discuss the basic mathematical models, methods, and numerical simulation for problems arising in industrial engineering processes, as for instance the process of developing new material.

The lecture starts by introducing models of material engineering processes, from the filling of granular material (pellets) into a silo, extruding the material in its melting temperature (as polymer melts), crystallization, and the casting/stretching of the film layer to have the end-industrial-products with the desired quality.
Then, the lecture provides necessary mathematical models for each of the engineering processes which are mainly in the form of nonlinear Partial Differential Equations which cover wide range of nonlinearity due to viscosities or the viscoelastic constitutive laws.
Finally, the lecture suggests mathematical methods to deal with those mathematical models. The methods are mainly up-to-date CFD techniques and ingredients for solving fluid flow problems. The methods cover time and space discretization as well as black-box solver strategies.

Bemerkungen

Language: English

In addition to the lecture, there will be exercises for helping students with their understanding of the lecture, and the possibility to develop projects within the open source code FeatFlow

Empfohlene Literatur
  • Vincenzo Capasso, Mathematical Modeling for Polymer Processing, Springer ISBN 3-540-43412-7
  • Michael Renardy, Mathematical Analysis of viscoelastic Flows, SIAM ISBN 0-8971-457-5
  • Daniel D. Joseph, Fluid Dynamics of Viscoelastic Liquids, Springer 0-387-97155-6
  • Ronald G. Larson, The Structure and Rheology of Complex Fluids, Oxford 0-19-512197-X

Übungen

Nummer der Übung
011319
Übungsgruppen
n.V.