Courses

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Geschäftsstelle des Elitestudiengangs Advanced Materials and Processes (MAP)

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- Motivation, history organization of the lecture
- Introduction, continuum, pressure, surface tension
- Scalars, vectors and tensors
- Fluid statics and buoyancy
- Governing equations: Integral analysis of fluid flow
- Governing equations: Differential analysis of fluid flow
- Spcial forms of governing equations
- Similitude, dimensional analysis, and modeling
- Solutions of basic internal and external flows
- Applied examples of the course material

The Students
- will learn the mathematical fundamentals of integral and differential modeling fluid flows
- can classify different types of fluid flow phenomena and derive the necessary non-dimensional parameters
- can simplify and utilize mathematical models for the solution of different types of flows
- have the chance to see the direct application of the content in the research and development work conducted at LSTM-Erlangen

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The course is taught on campus.

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ECTS-Credits: 7,5 einschließlich Praktikum

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Rheology studies material deformation und flow properties. It mainly focusses on material behavior of complex matter. This includes practically all materials of biologic origin like cells, tissue, body fluids, biopolymers and proteins but also most of the chemical systems like, in general, polymer melts and solutions, suspensions, emulsions, foams or gels. This knowledge and the required measurement techniques are of major importance in developing engineering solutions. This includes the determination of rheological properties of new materials but also of biological systems, their changes due to diseases or due to medical treatment. It is indispensable for the proper design of process plants (e.g. pressure loss, stirrer and pump selection, load limits of cells e.g. in 3D printing and bioreactors, etc.), process control (e.g. in printing, coating, varnishing, spraying, extrusion, labeling) as well as for meeting quality standards of the product (food, cosmetics, detergents, etc.).
The course Rheology/Rheometry deals with the primary flow and deformation properties during steady and time dependent stress. Besides empirical constitutive equations, the influence of the microstructure on the rheological behavior is presented. Techniques for measuring the material behavior (rheometrical, online-, inline-viscometers, rheo-optical) and the impact of typical measurement errors, their avoidance or correction are described.
Exercises complete the lecture. Students are instructed to apply their knowledge to rheological problems und to develop appropriate solutions. There exists the possibility to acquaint oneself with rheological measurement devices and methods in a practical course. null

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The lecture is an advanced course in fluid mechanics. Dimensional analysis and similarity are introduced as basic tools in fluid mechanics. Using dimensional analysis, areas of fluid mechanics that are of rather general importance in engineering are presented. These cover creeping and time dependent flows as well as potential and boundary-layer flows and turbulent and compressible flows.
Exercises complete the lecture. Students are instructed to analyze, evaluate and finally solve fluid mechanical problems. null

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- Funktionsprinzip der Turbomaschinen
- Leistungsbilanzen, Wirkungsgrade, Zustandsverläufe
- Ähnlichkeitskennzahlen
- Kennlinien und Kennfelder.
- Betriebsverhalten
- Grundbegriffe der Gitterströmung
- Kräfte an Gitterschaufeln
- Schaufelgitter
- Gehäuse
- CFD für Turbomaschinen
- Grundlagen Windturbinen
- Akustik

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Turbulence decomposition
(mean flow, turbulent stresses, higher-order moments);

second order moments (anisotropy tensor, invariants);

anisotropy invariant mapping of turbulence in wall-bounded flows;

turbulent viscosity, Prandtl-Kolmogorov formula;

dynamics of turbulence dissipation rate;

twopoint correlation technique (locally homogeneous turbulence);

dissipation rate equation (closure model);

velocity-pressure gradient correlations
(Poisson equation, Chou’s integral, slow and fast parts of correlations);

turbulence transport (closure approximation);

predictions (homogeneous shear flows, wall-bounded flows, transitional flows)

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- Strömungsmechanische Grundlagen (Grundgleichungen, Turbulenz, Wirbelstärke, Kompressible
Strömungen)
- Akustik (Wellengleichung, Greensche Funktion, Monopol, Dipol und
Quadrupole)
- Akustische Analogie (Lighthill-Analogie, Curle-Theorie, Vortex-Schall, APEGleichungen)
- Aeroakustische Messverfahren und Messeinrichtungen
- Hybride numerische CAA-Verfahren
- Anwendungen: Tonaler Schall: Zylinder
- Breitbandlärm: Stufe Freistrahllärm, Tragflügellärm, Turbomaschinen
Windenergieanlagen, Akustik der menschlichen Stimme
- Beurteilung der Schallwahrnehmung

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Bewertet wird zu einem speziellen Thema ein Vortrag und eine schriftliche Ausarbeitung

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The theory given in the lectures and applied in the exercise class is implemented into computer programs in this practical class.

The following problems are solved with matlab/octave programs:

- the Blasius-similarity equations
- heat-transfer problems
- boundary layer equations
- flow of fluid in a lid-driven cavity

The students who successfully complete this practical class should:

- be able to write matlab/octave problems solving transport problems
- understand the convergence and accuracy of a method in practical situations
- write a program to solve the two-dimensional Navier-Stokes equations
- work in team and write reports describing the results and significance of a simulation

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The practical complements the second lecture course in fluid mechanics (for the eighth semester, Vertiefungsfach)

and provides experience in modern measuring techniques and application-oriented flows.

The following experiments are carried out.

*Boundary Layer Flow:*

In this expeiment the logarithmic wall function is determined experimentally.

The measuring technique applied is hot-wire anemometry, as introduced in the practical I in the winter term.

The flow along a flat plate is investigated, which is well known and thoroughly described since the times of Blasius.

*Flow around a Circular Cylinder:*

The flow around a circular cylinder in a wind tunnel is investigated using hot-wire anemometry.

In this experiment, the frequency of vortex shedding from the edges of the cylinder is measured for varying Reynolds number of the flow.

The results are of relevance for fluid-solid interactions, as they occur in many problems in, e.g., civil engineering.

The measured frequencies are represented by a Strouhal number. The measured values of this number are compared with values from the literature.

The behaviour of the measured quantity with varying Reynolds number is interpreted in the light of the physics of the boundary layer. null

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Hier wird den Studierenden die Gelegenheit gegeben nachzuweisen, daß
sie den Vorlesungsstoff nicht nur verstanden, sondern auch auf
andere Methoden anwenden könnnen.

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ACHTUNG! Die erste Übung findet am 24.10.22 statt!

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