Turbulent Flows

Lecture:  
Date and time: Annually in winter semester, Wednesday, 11.30 - 13.00
Location: Lecture room 003, Hermann-Blenk-Str. 37
Participation via BigBlueButton is possible
Start: Most up-to-date information via Stud.IP, In WS2023/24: 01.11.2022
Lecturer: Dr.-Ing. P. Scholz

Tutorial  
Date and time: In winter semester, Wednesday, 13.00 - 13.45
Location: Lecture room 003 and CIP-Pool, Hermann-Blenk-Str. 37
Start: Most up-to-date information via Stud.IP, typically second week
Tutor: Dr.-Ing. P. Scholz

Course Objective

The students acquire in-depth knowledge of the phenomena related to turbulence of flows and of the mathematical approach to characterize and predict turbulent flows in technical applications. They learn the fundamental hypotheses, which are the basis of various approaches to solve the closure problem of turbulent flows and they learn to assess practical problems related to turbulent flows. They make their own experiences in the prediction of turbulent shear flow with numerical methods and they learn methods to control flows with passive or active means.

Course Content

  • Definitions, Phenomenology
  • Transition to turbulence
  • Fundamentals: equations of motion, Reynolds-averaging, boundary layers, turbulent kinetic energy equation
  • Statistical theory: Correlations, Taylor's hypothesis, Taylor's scales, Energy spectra, PDF, anisotropy invariants
  • Dynamics of isotropic turbulence, von Kárman-Howarth-relation, local isotropy, Kolmogoroff's scaling laws, universal spectrum of isotropic turbulence
  • Turbulent shear flows: wall interaction, wall layers, free shear layers
  • Simulation of turbulent flows: Scale resolving simulations, eddy-viscosity, concept and calibration of eddy-viscosity models