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Reynolds-number Dependence of Streamwise Velocity Fluctuations in Turbulent Pipe Flow

Morrison, Jonathan F. and Jiang, Weimin and McKeon, Beverley J. and Smits, Alexander J. (2002) Reynolds-number Dependence of Streamwise Velocity Fluctuations in Turbulent Pipe Flow. In: 40th Aerospace Sciences Meeting & Exhibit, January 14-17, 2002, Reno, NV.

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Statistics of the streamwise velocity component in fully-developed pipe flow are examined for Reynolds numbers in the range 5.5 x 10^4 < Re_D < 5.7 x 10^6. The second moment exhibits two maxima: one in the viscous sublayer is Reynolds-number dependent while the other, near the lower edge of the log region, is also Reynolds-number dependent and follows roughly the peak in Reynolds shear stress. The behaviour of both peaks is consistent with the concept of inactive motion which increases with increasing Reynolds number and decreasing distance from the wall. No simple scaling is apparent, and in particular, so-called "mixed" scaling is no better than wall scaling in the viscous sublayer and is actually worse than wall scaling in the outer region. The second moment is compared with empirical and theoretical scaling laws and some anomalies are apparent. The scaling of spectra using y, R and u_τ is examined. It appears that even at the highest Reynolds number, they exhibit incomplete similarity only: while spectra do collapse with either inner or outer scales for limited ranges of wave number, these ranges do not overlap. Thus similarity may not be described as complete and any apparent k_1^(-1) range does not attract any special significance and does not involve universal constants. It is suggested that this is because of the influence of inactive motion. Spectra also show the presence of very long structures close to the wall.

Item Type:Conference or Workshop Item (Paper)
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McKeon, Beverley J.0000-0003-4220-1583
Additional Information:© 2002 AIAA. The support of ONR under Grant Nos. N00014-98-1-0525 and N00014-99-1-0340 is gratefully acknowledged. JFM is indebted to both the Engineering and Physical Sciences Research Council (GR/M64536/01 and GR/R48193/01) and the Royal Academy of Engineering (England) for financial support.
Funding AgencyGrant Number
Office of Naval Research (ONR)N00014-98-1-0525
Office of Naval Research (ONR)N00014-99-1-0340
Engineering and Physical Sciences Research Council (EPSRC)GR/M64536/01
Engineering and Physical Sciences Research Council (EPSRC)GR/R48193/01
Royal Academy of Engineering (England)UNSPECIFIED
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AIAA Paper2002-0574
Record Number:CaltechAUTHORS:20150304-112212308
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:55513
Deposited By: Jamie Sei
Deposited On:04 Mar 2015 22:28
Last Modified:03 Oct 2019 08:06

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