Topics: unsteady one-dimensional subsonic and supersonic flows, acoustics, sound propagation, supersonic flows with shocks and Prandtl-Meyer expansions, flow around slender bodies, shock tubes, reaction fronts (deflagration and detonation). Mathematical tools: method of characteristics and selected numerical methods.
Learning objective
Illustration of compressible flow phenomena and introduction to the corresponding mathematical description methods.
Content
The interaction of compressibility and inertia is responsible for wave generation in a fluid. The compressibility plays an important role for example in unsteady phenomena, such as oscillations in gas pipelines or exhaust pipes. Compressibility effects are also important in steady subsonic flows with high Mach numbers (M>0.3) and in supersonic flows (e.g. aeronautics, turbomachinery). The first part of the lecture deals with wave propagation phenomena in one-dimensional subsonic and supersonic flows. The discussion includes waves with small amplitudes in an acoustic approximation and waves with large amplitudes with possible shock formation. The second part deals with plane, steady supersonic flows. Slender bodies in a parallel flow are considered as small perturbations of the flow and can be treated by means of acoustic methods. The description of the two-dimensional supersonic flow around bodies with arbitrary shapes includes oblique shocks and Prandtl-Meyer expansions etc.. Various boundary conditions, which are imposed for example by walls or free-jet boundaries, and interactions, reflections etc. are taken into account.
Lecture notes
not available
Literature
a list of recommended textbooks is handed out at the beginning of the lecture.
Prerequisites / Notice
prerequisites: Fluiddynamics I and II
Performance assessment
Performance assessment information (valid until the course unit is held again)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
written 90 minutes
Written aids
· Zusammenfassung von 6 Seiten / Summary of 6 pages · Standard wissenschaftlicher Taschenrechner / pocket calculator (standard scientific) · Skript zur Vorlesung (Version 2021), ohne eigene Notizen / Class notes (Version 2021), no personal annotations · Aufgabenblätter und Musterlösungen (Version 2021), ohne eigene Notizen / Exercises and Solutions (Version 2021) – no personal annotations
This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials
No public learning materials available.
Only public learning materials are listed.
Groups
No information on groups available.
Restrictions
There are no additional restrictions for the registration.
Performance assessment as a semester course