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Turbulence_Part_One_ - ENU 4133 – Turbulence – Part 1 March 5 2010 Duct Flows Coverage I Time Averaging I Reynolds Decomposition and

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Unformatted text preview: ENU 4133 – Turbulence – Part 1 March 5, 2010 Duct Flows 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. Example Fluctuations Sufficient time for u and p to converge – couple/few seconds (White recommends 5). Time-Average Operator f = 1 T Z T fdt (1) ~ V = 1 T Z T ~ Vdt (2) p = 1 T Z T pdt (3) Rules ( f , g scalar/vector/tensor functions, h scalar variable) f = f (4) f + g = f + g (5) f g = f g (6) fg 6 = f g (7) ∂ f ∂ h = ∂ f ∂ h (8) Reynolds Decomposition Fluctuations ~ V and p : ~ V ( ~ r , t ) = ~ V ( ~ r , t )- ~ V (9) p ( ~ r , t ) =...
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This note was uploaded on 07/14/2011 for the course ENU 4133 taught by Professor Schubring during the Spring '11 term at University of Florida.

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Turbulence_Part_One_ - ENU 4133 – Turbulence – Part 1 March 5 2010 Duct Flows Coverage I Time Averaging I Reynolds Decomposition and

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