Course Descriptions
MECH_ENG 430: Turbulence and Combustion



This is an introductory graduate level course in the theory and
modeling of turbulent flows, including reacting flows. Students must
have had at least one graduate level course in fluid mechanics and
must be familiar with the elements of advanced engineering
mathematics including vector analysis and differential equations.
Turbulence is the norm rather than the exception in all areas of fluid
flow in engineering with the exception of micro- and nano-scale flows.
Therefore the course will be of interest to a broad section of
engineering students including those interested in: flow around
aerospace vehicles, propulsion of aerospace vehicles (turbulent
combustion), environmental flows, climate studies, planetary
atmospheres, automobile engineering etc. to name a few. A
(tentative) list of topics to be covered are as follows:

1. Stability and instability of laminar flows.
2. Transition to turbulence & the qualitative nature of turbulence.
3. Isotropic Turbulence. The ideas of A.N. Kolmogorov.
4. The hierarchy of moment equations & the closure problem.
5. Channel flow. The eddy viscosity and the law of the wall.
6. Reynold’s Averaged Navier-Stokes (RANS) & Large Eddy
Simulation (LES) of turbulence.
7. The Dynamic Model in LES.
8. Modeling turbulent transport.
9. Fundamentals of reacting flow- Arrhenius law & the Damkohler
10. Laminar flames: basic theory of premixed and diffusion
flames. Activation energy asymptotics.
11. Turbulent diffusion flames – the flamelet model