course aims in Estonian
Ülevaate andmine turbulentsiteooriast ja turbulentsest segunemisest.
Turbulentsiteooria meetodite rakendamisoskuse arendamine.
course aims in English
Giving overview of the theory of turbulence and turbulent mixing.
Developing skills for using the methods of the theory of turbulence.
learning outcomes in the course in Est.
Õpilane teab turbulentsiteooria olulisemaid mudeleid, meetodeid ja tulemusi
ning oskab neid rakendada oma erialatöös.
learning outcomes in the course in Eng.
Knows the basic models, methods and results of the theory of turbulence,
and is able to use these in his/her professional work.
brief description of the course in Estonian
Tugev ja nõrk turbulents. Navier-Stokes'i võrrand ja selle liikumisintegraalid.
Turbulentset difusiooni kirjeldamine üksiku osakese uitliikumisena ja osatuletistega
võrrandi abil.
Turbulentsi iseloomustavad dimensioonita suurused, sh Reynoldsi, Scmidt'i,Prandtl'i,
Kubo ja Peclet' arvud.
Kolmogorovi turbulents ja astmeseadused. Päripidine ja pööratud kaskaad.
Richardsoni seadus. Batchelori seadus.
Juhumuutlikkus, struktuurifunktsioonid.
Materiaalsete elementide Lagrange'i statistika, Lyapunovi astmenäitajad.
Kokkusurutavad kiirusväljad. Osakesed turbulentses voolus.
Piiskade nukleatsioon soojades pilvedes.
Turbulentse magnetdünamo probleem.
Iseorganiseeruv kriitilisus.
Turbulentsiteooria interdistsiplinaarsed rakendused.
brief description of the course in English
Strong and weak turbulence. Navier-Stokes equation and its integrals of motion.
Descriptions of turbulent diffusion via Brownian motion of a particle, and via
convective-diffusive equation.
Dimensionless numbers: Reynolds, Scmidt,Prandtl, Kubo and Peclet numbers.
Kolmogorov turbulence and power laws. Forward and reverse cascade.
Richardson's and Batchelor's laws.
Intermittency and structure functions.
Lagrangean statistics of material elements and Lyapunov exponents.
Compressible velocity fields. Particles in turbulence.
Nucleation of droplets in warm clouds.
The problem of magnetic dynamo.
Self-organized criticality.
Interdisciplinary applications of the theory of trubulence.
type of assessment in Estonian
-
type of assessment in English
-
independent study in Estonian
Koduste ülesannete lahendamine.
independent study in English
Solving hometasks
study literature
Uriel Frisch, "Turbulence: The Legacy of A. N. Kolmogorov", CUP 1995
study forms and load
daytime study: weekly hours
4.0
session-based study work load (in a semester):