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Turbulence_Part_Two_a_web

Turbulence_Part_Two_a_web - ENU 4133 Turbulence Part 2a...

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ENU 4133 – Turbulence – Part 2a March 19, 2010
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Turbulence Coverage I Time Averaging I Reynolds Decomposition and RANS (Reynolds Averaged Navier-Stokes) I Law of the Wall and Velocity Profiles I Kolmogorov hypotheses and scales I Mixing length modeling of turbulence I Multi-equation models of turbulence ( k - , k - ω ) I Computational techniques for turbulence (including large eddy simulation – LES & direct numerical simulation – DNS) In general – Part 1 is more basic, quantitative, and rather closely parallels Section 6.5 in the text. Part 2 is more complex, qualitative, and will be driven from the notes & references.
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View of Turbulence – Fluctuations vs. Eddies Most formal treatments of turbulence deal with fluctuations in the flow, such as the graphs shown in Part 1 of the turbulence notes. It is possible to use typical statistical techniques on single points (probability distribution functions, etc.) and multiple points or velocity components at the same point (auto/cross-correlation, etc.). Conceptually, it is easier to understand turbulence as many small-scale fluid rotations (eddies) superimposed on top of one another and on top of the mean flow. The entire flow must satisfy N-S everywhere, but each individual structure does not need to.
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