CATALOG DATA:
Experimental facts, measurements, theory, correlations, simple approximations. Homogenous turbulence, spectra, direct interaction, numerical models, theory of Kraichnan, meteorology, diffusion.

TEXTBOOK:
Tennekes, H., and Lumley, J.L., A First Course in Turbulence, M.I.T. Press, 1972.

REFERENCE:
Hinze, J.O., Turbulence, McGraw-Hill Book Company, 1975. Morrin, A.S., and Yaglom, A.M., Statistical Fluid Mechanics, Volumes I and II, M.I.T. Press, 1975

GOALS:
The intent of this course is to introduce the fundamental concepts of turbulence. Classical as well as state-of-art literature are reviewed.

Topics:

• Experimental evidence: Diffusion of momentum, heat, mass. Turbulence in pipes, grid flows, jets, wakes, boundary layers, fluctuations, Reynolds stress, eddy viscosity.
• Measurements: Hot wires, lasers, microphones. Techniques and limitations. Electronic circuits.
• Theory: Equations of Navier-Stokes, mean flows, stresses, scales for energy and dissipation. Vorticity. Tensors for correlations in time and space.
• Simple approximations: Isotropy, homogeneity, mixing length.
• Further approximations: Eddy viscosity, rate equations, maximum conditions, similarity, statistical equilibrium.
• Homogeneous turbulence: Exact theory, difficulty of closure, spectral analysis, interaction in Fourier space.
• Direct interaction approximation: Kraichnan's work, numerical models.
• Applications to boundary layers, meteorology, heat transfer, diffusion.
• Magnetohydrodynamical turbulence and plasma flows.
• Current research work.

ABET category content as estimated by faculty member who prepared the course description:
Engineering Science: 3 credits or 100%
Engineering Design: 0 credits

Prepared by: Professor Victor Nee
Last Update: March 27, 1992

 

Direct comments, questions, and corrections to amedept@nd.edu