086366: Introduction to Turbulent Flow 

Comprehensive introduction to turbulence, including development of the mathematical tools for understanding classical turbulence theory, as well as engineering approaches to turbulence measurement and analysis. Includes: Reynolds- averaged equations and the problem of closure. Vorticity dynamics. Statistical and spectral description of turbulence. Homogeneous isotropic turbulence and structure of fine scales. Kolmogorov theory and the energy cascade. Turbulent shear flows. Wall-bounded flows. Turbulent boundary layers. Turbulent mixing. Physical and spectral models. Subgridscale modeling. Turbulent transition. Coherent structures.

086380: Boundary Layer Theory

Laminar and turbulent boundary layer theory, with emphasis on physical understanding and engineering applications, including asymptotic analysis. Includes: d’Alembert’s paradox, vorticity dynamics, vortex/momentum descriptions of the boundary layer, similarity solutions, integral methods, unsteady boundary layers, separation and separation control, log-law, roughness and surface curvature, heat/passive scalars, compressible boundary layers

084314: Viscous Flow

Introductory undergraduate fluid mechanics course, with special emphasis on transport (momentum, heat, mass).

086321: Similarity Theory and Approximation Techniques

A formal (Group theoretic) approach to dimensional analysis, similarity methods, and forms of approximation, as applied to classic and contemporary problems in fluid mechanics. Complete and incomplete similarity approaches are used to study turbulent flows, compressible flows, explosions, atmospheric flows, and astrophysical phenomena. In addition to similarity methods, a variety of other approximation approaches, in the spirit of `Fermi problems’ will be explored.