Turbulentie in vloeistoffen

Bekijk rooster Print deze pagina

Cursusdoel

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.

Vakinhoudelijk

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.

Werkvormen

Hoorcollege

Werkcollege
Toelichting

Aanwezigeheidsplicht bij hoorcollege en werkcolleges. Inleveren van numerieke opgaven. Presenteren van een opgave tijdens een werkcollege.

Toetsing

Eindresultaat

Verplicht | Weging 100% | ECTS 7,5

Ingangseisen en voorkennis

Ingangseisen

Er is geen informatie over verplichte ingangseisen bekend.

Voorkennis

Basics of the physical laws of fluid motion, can be achieved by the courses in Stromingsleer en transportverschijnselen (NS-265B) and/or Geophysical Fluid Dynamics (NS-353B). Basic thermodynamics, can be achieved by Statistical Physics I (NS-204B).

Voorkennis kan worden opgedaan met

Stromingsleer en transportverschijnselen (NS-265B) Geofysische stromingsleer (NS-353B) Wiskundige technieken 3 (NS-220B)

Voertalen

  • Engels

Cursusmomenten

Gerelateerde studies

Tentamens

Er is geen tentamenrooster beschikbaar voor deze cursus

Verplicht materiaal

Materiaal Omschrijving
SOFTWARE UA10190 Matlab 2013a MatCont X-term
BOEK Turbulent flows by S. B. Pope, Cambridge University Press (2000), available as e-book in the University library

Aanbevolen materiaal

Materiaal Omschrijving
BOEK Cushman Roisin & Becker: Geophysical Fluid Dynamics, Academic Press (2011)
BOEK Chaos in Dynamical Systems by E. Ott, Cambridge University Press (2002)
BOEK Stochastic Processes in Physics and Chemistry by N. G. van Kampen, Elsevier (2011)
BOEK Fluid Mechanics 6th edition by P. K. Kundu, I.M. Cohen and D. R. Dowling Academic Press (2016)
BOEK Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering by S. H. Strogatz, , Westview Press, (1994), available as e-book in the University library

Coördinator

dr. A.S. von der Heydt a.s.vonderheydt@uu.nl

Docenten

prof. dr. ir. H.A. Dijkstra H.A.Dijkstra@uu.nl
dr. A.S. von der Heydt a.s.vonderheydt@uu.nl

Inschrijving

Deze cursus is open voor bijvakkers. Controleer wel of er aanvullende ingangseisen gelden.

Inschrijving
Van maandag 4 november 2024 tot en met vrijdag 22 november 2024

Na-inschrijving
Van maandag 20 januari 2025 tot en met dinsdag 21 januari 2025

Inschrijving niet geopend
Permanente link naar de cursuspagina
Laat in de Cursus-Catalogus zien