The interdisciplinary nature of modern fluid mechanics is also evident in the teachings offered by LSTM. For effective knowledge transfer, it’s crucial that engineering students fully grasp the phenomena and mechanisms behind the diffusive and convective transport of matter, momentum, and energy whether in experiments, theoretical discussions, or simulations.
Geschäftsstelle des Elitestudiengangs Advanced Materials and Processes (MAP)
Parallel groups / dates
- 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
1. Parallelgruppe
Semester hours per week
2
Teaching language
English
Responsible
Dr.-Ing.ManuelMünsch
Prof. Dr.PhilippSchlatter
Literature references: - Munson, Yound and Okiishi: Fundamentals of Fluid Mechanics. John Willey and Sons
- Fox and McDonald: Introduction to Fluid Mechanics. John Willey and Sons
- White: Fluid Mechanics. McGraw Hill
- Durst: Grundlagen der Strömungsmechanik: Eine Einführung in die Theorie der Strömung von Fluiden. Springer
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
1. Parallelgruppe
Semester hours per week
2
Teaching language
German or English
Responsible
Prof. Dr.AndreasWierschem
Literature references: - C. W. Macosko: Rheology - Principles, Measurement and Application, Wiley-VCH (1994)
- F. A. Morrison: Understanding Rheology, Oxford Univ. Press (2001)
- J. F. Steffe: Rheological Methods in Food Process Engineering, Freeman (1996)
- T. G. Mezger: Das Rheologie Handbuch, 5th ed., Vincentz (2016)
- H. A. Barnes, J. F. Hutton, K. Walters: An Introduction to Rheology, Elsevier (1989)
- R. G. Larson: The Structure and Rheology of Complex Fluids, Oxford (1999)
- T. F. Tadros: Rheology of Dispersions, Wiley-VCH (2011)
- T. A. Witten: Structured fluids, Oxford (2010)
- P. Coussot: Rheometry of Pastes, Suspensions, and Granular Materials, Wiley (2005)
- M. Pahl, W. Gleißle, H.-M, Laun: Praktische Rheologie der Kunststoffe und Elastomere, 4. Auflage, VDI-Verlag (1995)
- D. Weipert, H.-D. Tscheuschner, E. Windhab: Rheologie der Lebensmittel, Behrs Verlag (1993)
- M. A. Rao: Rheology of fluid and semisolid foods, 3rd ed., Springer (2013)
- J. W. Goodwin, R. W. Hughes: Rheology for Chemists, RSC Publishing (2008)
- D. Lerche, R. Miller, M. Schäffler: Dispersionseigenschaften, 2D-Rheologie, 3D-Rheologie, Stabilität (2015)
- G. G. Fuller: Optical Rheometry of Complex Fluids, Oxford Univ. Press (1995)
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
1. Parallelgruppe
Semester hours per week
3
Teaching language
German
Responsible
Prof. Dr.AndreasWierschem
Literature references: - J. H. Spurk, N. Aksel: Strömungslehre: Einführung in die Theorie der Strömungen, 8. Auflage, Springer-Verlag Berlin, Heidelberg, New York, 2010
- F. Durst, Grundlagen der Strömungsmechanik - Eine Einführung in die Theorie der Strömungen in Fluiden, Springer, 2006
- P. K. Kundu, Fluid Mechanics, 5th Ed., Academic Press, 2012
- F. M. White, Fluid Mechanics, 7th Rev. Ed., McGraw Hill, 2011 null
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
Hier wird den Studierenden die Gelegenheit gegeben nachzuweisen, daß
sie den Vorlesungsstoff nicht nur verstanden, sondern auch auf
andere Methoden anwenden könnnen.