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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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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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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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