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Cursus: NS-376B
NS-376B
Turbulentie in vloeistoffen
Cursus informatie
CursuscodeNS-376B
Studiepunten (EC)7,5
Cursusdoelen
Able to distinguish between laminar and turbulent flows and characterise basic properties of each.
2. Able to perform linear stability analysis of basic examples of fluid flows.
3. Able to analyse basic instabilities and turbulence in fluid flows using key mathematical techniques:
Bifurcations and chaos, stochastic events, probabilistic description of turbulent flows.
4. Understand the physical mechanisms associated with fluid instabilities, such as the Kelvin
Helmholtz instability and Rayleigh-Benard convection, leading to the transition to turbulence.
5. Understand basic theories on turbulent flows, such as dimensional and scaling arguments, conserved
quantities, turbulent energy cascade, Kolmogorov theory and be able to apply their principles for
geometrically simple flow conditions.
6. Have basic knowledge on intermittency and other corrections to the simplest theory and understand
examples of how to model them numerically.
7. Able to calculate transport properties of basic turbulent flows.
8. Employment skills and knowledge
a. Critically analyse practical problems and express them in physical/mathematical terms.
b. Manage time efficiently and prioritise activities.
Inhoud
Instabilities of flows and their transition to turbulent behaviour are widespread phenomena in engineering, geophysical and astrophysical flows. Turbulence has become one of the most important unsolved problems in classical physics. This course offers the basic knowledge on turbulent fluid flows and their (numerical) modelling. The problem has two aspects: one is to understand why a fluid system becomes turbulent, i.e. shows complex structures both spatially  and temporally; the other aspect has the goal to develop a potentially universal model of the transport properties of the flow in different scales. In this course both aspects will be covered using methods from dynamical systems theory (including bifurcation, chaos and fractals) and statistical physics. Exercises will introduce the student to numerical simulation of (turbulent) flows.
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