This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: ENU 4133 – Turbulence – Part 1 March 5, 2010 Duct Flows Coverage I Time Averaging I Reynolds Decomposition and RANS (Reynolds Averaged NavierStokes) I Law of the Wall and Velocity Profiles I Kolmogorov hypotheses and scales I Mixing length modeling of turbulence I Multiequation 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). TimeAverage 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 ) =...
View
Full
Document
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.
 Spring '11
 Schubring

Click to edit the document details