Turbulent flows

• explain and derive the basic equations that govern turbulent flows including turbulence modelling
• apply these to analyse turbulent flows, such as steady, uniform boundary layers in channels, pipes, etc., and free shear flows
• analyse turbulent flows using statistical analyses such as probability distribution of turbulent velocities, correlation and spectrum analyses
• compose a complete picture of the turbulent energy balance in simple flows using basic equations, statistical and spectral analysis, and physical reasoning
• compare and contrast steady and unsteady (exemplified with oscillatory boundary layer) turbulent flows, including the occurrence of laminar-to-turbulent transition
• apply and evaluate results from turbulence models, ranging from simple models (e.g., the mixing length model) to more advanced models (e.g. k-omega model)
• discuss and evaluate the implications of non-equilibrium turbulence on the inferences of the Kolmogorov (equilibrium) theory
• analyze and evaluate results from laboratory experiments using advanced facilities/techniques

(1) Introduction. (2) Basic equations (continuity, equation of motion and energy equations). (3) Steady boundary layer flows (flow close to a wall, flow across the entire section, turbulence-modelling, flow resistance, bursting process). (4) Statistical analysis (correlation analysis, spectrum analysis). (5) Free shear flows. (6) Unsteady boundary layers (laminar oscillatory boundary layer, transition, turbulent oscillatory boundary layers). (7) Turbulence models. (8) Non-equilibrium turbulence.

• 36 – 49 (Fri 8-12)

41102/41111/41312

Lectures, exercises, assignments and laboratory exercises