Providing the necessary theoretical basis for the physical understanding and mathematical modeling of turbulent flows.

The student will know the necessary theoretical bases for the physical understanding and mathematical modeling of turbulent flows.

Physical foundations and statistical nature of turbulence. Mathematical theory of turbulence. Reynolds statistics. Equations of turbulent transfer of mass, momentum and energy. Statistical characteristics of turbulence and their physical meaning. Structure of shear turbulent flows. Mechanism and calculation of turbulent momentum and heat transfer in pipes and ducts. Turbulent boundary layer. Structure of turbulence and calculation of velocity and temperature fields. Mechanism of momentum exchange in free turbulent flows. Calculation of plane and axisymmetric turbulent jets. Interaction of fluid and body obstruction. Calculation of drag and turbulent vortex wake. Spectral and kinetic theories of turbulence.

Analysis of experimental measurement results, as well as results of direct numerical simulations in turbulent flow. Using statistical packages available in Python and R programming languages.

Passed exam in Selected chapters in fluid mechanics in doctoral studies.

Total assigned hours: 65

New material: 35
Elaboration and examples (recapitulation): 15

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Review and grading of calculation tasks: 0
Review and grading of lab reports: 0
Review and grading of seminar papers: 10
Review and grading of the project: 0
Test: 0
Test: 0
Final exam: 5

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 0
Seminar paper: 50
Project: 0
Final exam: 50
Requirement for taking the exam (required number of points): 0

Davidson, P.A: TURBULENCE, An Introduction for Scientits and Engineers, Oxford University Press, 2015; Pope, S: Turbulent Flows. Cambridge University Press, 2013