# Turbulent Fluid Dynamics

# Part I

Part I consists of a series of lectures (V2) and is held in the summer term, covering the following:

- Fundamentals of flows with small viscosity
- Phenomenological description of boundary layers in flows
- Boundary layers in laminar flow
- derivation of the boundary-layer equations for steady flows of constant density
- Exact solutions of the boundary-layer equations (flat plate, wedge flows)
- Integral method of von Kármán and Pohlhausen

- Turbulent boundary layers
- Introduction into the theory of turbulent flows
- The Reynolds averaged Navier-Stokes equations
- Turbulent transport equations for the Reynolds stresses
- Turbulent length scales and the energy cascade
- Boundary-layer approximations
- The flow in the vicinity of rigid walls
- Turbulence models (Prandtl's mixing-length hypothesis, the k-epsilon model)

- Thermal boundary layers in laminar flow
- Derivation of the boundary-layer equations
- Thermal boundary layers with forced convection
- Thermal boundary layers in natural flows

# Part II

Part II consists of a series of lectures (V2) with additional seminar hours (Ü1) during whole winter term. The lectures mainly focus on turbulent jet flows. In addition, the lectures will intensely cover open questions which arise from the talks in seminar hours. The seminar hours will be devoted to special talks of 45 minutes duration given by the students themselves. Topics of these talks from up to date literature or current research of the institute itself will be presented to the students at the beginning of the term, each student has to choose one topic. The literature necessary to prepare a talk will be provided (in most cases literature is in English) by the institute. To accompany the lectures a script (in German language) is available at the institute. Current information is available at the showcase of the Institut für Technische Mechanik, Templergraben 64, 2nd floor or via Internet: Lectures