After successful completion of the course, students are able to classify typical fluid mechanical problems, to model them in the form of differential equations and identify the characteristic nondimensional groups, and, if possible, to systematically simplify and solve them.
Introduction, governing equations in integral and differential form, Reynolds transport theorem, jump conditions, steady inviscid flows, incompressible and compressible flows in ducts of varying cross section, normal and oblique shock waves, expansion fan, Laval nozzle, vorticity, viscous stresses, Navier-Stokes equations, model laws and similarity (dimensional analysis), creeping flows, potential theory, boundary layer theory.
The lecture follows the principle "from the general to the particular", i.e. on the basis of the fundamental equations, reduced model equations are derived for the flow cases of interest, which are then largely treated with analytical methods. Special emphasis is placed on the identification of perturbation parameters (large or small values of dimensionless groups) with regard to the application of perturbation methods for the systematic simplification of the generally nonlinear equations.
Blackboard lecture in conjunction with lecture notes (in German, available at TU press, Freihaus, or online). Due to e.g. COVID-19 measures this might not be possible. In this case a Zoom distance-lecture format will be offered (related informations and link via TISS news).
Presentation of fundamentals and discussion of typical applications.
Basic knowledge of thermodynamics and mathematical methods of theoretical physics (integral theorems, index notation, coordinate transformations, classification of partial differential equations, potential theory, complex analysis, perturbation theory) advantageous.
