Turbulence and Mixing
BASIC DATA
course listing
A - main register
course code
YFX1100
course title in Estonian
Turbulents ja segunemine
course title in English
Turbulence and Mixing
course volume CP
-
ECTS credits
6.00
to be declared
yes
fully online course
not
assessment form
Examination
teaching semester
spring
language of instruction
Estonian
English
Study programmes that contain the course
code of the study programme version
course compulsory
no
Structural units teaching the course
LT - Department of Cybernetics
Timetable link
Version:
VERSION SPECIFIC DATA
course aims in Estonian
Õppeaine eesmärk on anda ülevaade turbulentsiteooriast ja turbulentsest segunemisest ning arendada oskust rakendada turbulentsiteooria meetodeid.
course aims in English
The aim of this course is to give an overview of the theory of turbulence and turbulent mixing. Also to develop skills for using the methods of the theory of turbulence.
learning outcomes in the course in Est.
Aine läbinud üliõpilane:
- teab turbulentsiteooria olulisemaid mudeleid, meetodeid ja tulemusi;
- oskab neid rakendada oma erialatöös.
- teab turbulentsiteooria olulisemaid mudeleid, meetodeid ja tulemusi;
- oskab neid rakendada oma erialatöös.
learning outcomes in the course in Eng.
After completing this course the student:
- knows the basic models, methods and results of the theory of turbulence;
- is able to use these in his/her professional work.
- knows the basic models, methods and results of the theory of turbulence;
- 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.
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.
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):
lectures
2.0
lectures
-
practices
0.0
practices
-
exercises
2.0
exercises
-
lecturer in charge
-
type (CBL/PBL)
not specified
LECTURER SYLLABUS INFO
semester of studies
teaching lecturer / unit
language of instruction
Extended syllabus
2026/2027 spring