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Published May 27, 2002 | public
Journal Article Open

Reynolds number dependence of streamwise velocity spectra in turbulent pipe flow

Abstract

Spectra of the streamwise velocity component in fully developed turbulent pipe flow are presented for Reynolds numbers up to 5.7×10^6. Even at the highest Reynolds number, streamwise velocity spectra exhibit incomplete similarity only: while spectra collapse with both classical inner and outer scaling for limited ranges of wave number, these ranges do not overlap. Thus similarity may not be described as complete, and a region varying with the inverse of the streamwise wave number, k1, is not expected, and any apparent k1-1 range does not attract any special significance and does not involve a universal constant. Reasons for this are suggested.

Additional Information

©2002 The American Physical Society. Received 11 September 2001; published 13 May 2002. The support of ONR under Grants No. N00014-98-1-0525 and No. N00014-99-1-0340 is gratefully acknowledged. J.F.M. is indebted to both the Engineering and Physical Sciences Research Council (GR/M64536/01 and GR/M84855/01) and the Royal Academy of Engineering (United Kingdom) for additional financial support.

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Created:
August 21, 2023
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August 21, 2023