Oc674  Introduction to Turbulence


It is a fact of nature that the great majority of fluid flows are turbulent - laminar flows are the exception. The enhancement of the transports of mass and momentum due to turbulent mixing are critical to most fluid flows. The mixing of chemical constituents aids combustion processes, for example.

Almost everyone studying fluid flows must acknowledge this in some way. Some of us try to discern the nature of the instabilities that lead to turbulence while others must parameterize their effects on larger scale flows. Controlling turbulence (whether reducing it to improve pipe flows, or increasing it to retard flow separation on an aircraft wing) is an important engineering problem.

The material in this course is designed to enhance physicsl insight esp. as it applies to flows in high Reynolds number environments.

This course will be taught by Professor Jim Moum from CEOAS.

Spring 2016



Assignment Solutions

Asst2 - 1.2 1.3 1.4

Asst3 - 2.3 more2.3 2.4

Asst4 - 3.1 3.2

Asst5 - 4.1

MidTerm Solutions 4.3 plume1 2 3 4

Asst6 - page1 page2 page3 page4 page5 page6 page7

course flyer

course outline

Turbulence bibliography


Reading Material:

3D Turbulence

Nelkin - In what sense is turbulence an unsolved problem?

Frisch&Orszag - Turbulence: challenges for theory and experiment



"Turbulence" movie questions - you can find film and notes at http://web.mit.edu/fluids/www/Shapiro/ncfmf.html

turbulent wake animations / island wake / quickscat wake (Hawaiian islands)

particle dispersion videos https://www.youtube.com/watch?v=TNLEWrQeesM https://www.youtube.com/watch?v=3dOqYnlcWbk https://www.youtube.com/watch?v=QkypqbsVL0g

turbulent boundary layers https://www.youtube.com/watch?v=e1TbkLIDWyshttps://www.youtube.com/watch?v=wR-YrZhv6K4https://www.youtube.com/watch?v=MvJmppOW2vQ

wave boundary layer (weak mean flow)wave boundary layer (stronger mean flow)

hairpin vortices1 hairpin vortices2BL_simulation_vortices


Interesting imagery

acoustic reflection in the ocean: soliton acoustic backscatter

Schlieren image in the atmosphere: http://www.nasa.gov/image-feature/t-38c-passes-in-front-of-the-sun-at-supersonic-speed


Slide presentations:

Kinematics Intro Ch2

Simple example of tke balance - squall decay

plane wake


dye dispersion