{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Turbulence_Part_One_web

# Turbulence_Part_One_web - ENU 4133 Turbulence Part 1 March...

This preview shows pages 1–6. Sign up to view the full content.

ENU 4133 – Turbulence – Part 1 March 5, 2010

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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).

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Time-Average Operator f = 1 T Z T 0 fdt (1) ~ V = 1 T Z T 0 ~ V dt (2) p = 1 T Z T 0 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 0 and p 0 : ~ V 0 ( ~ r , t ) = ~ V ( ~ r , t ) - ~ V (9) p 0 ( ~ r , t ) = p ( ~ r , t ) - p (10) Mean fluctuation: ~ V 0 = 1 T Z T 0 ~ V - ~ V dt

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}