TY - JOUR
T1 - Reynolds Number Dependence of Streamwise Velocity Spectra in Turbulent Pipe Flow
AU - Morrison, J. F.
AU - Jiang, W.
AU - McKeon, B. J.
AU - Smits, A. J.
PY - 2002
Y1 - 2002
N2 - Spectra of the streamwise velocity component in fully developed turbulent pipe flow are presented for Reynolds numbers up to [Formula presented]. 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, [Formula presented], is not expected, and any apparent [Formula presented] range does not attract any special significance and does not involve a universal constant. Reasons for this are suggested.
AB - Spectra of the streamwise velocity component in fully developed turbulent pipe flow are presented for Reynolds numbers up to [Formula presented]. 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, [Formula presented], is not expected, and any apparent [Formula presented] range does not attract any special significance and does not involve a universal constant. Reasons for this are suggested.
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U2 - 10.1103/PhysRevLett.88.214501
DO - 10.1103/PhysRevLett.88.214501
M3 - Article
C2 - 12059477
AN - SCOPUS:0037182443
SN - 0031-9007
VL - 88
SP - 4
JO - Physical review letters
JF - Physical review letters
IS - 21
ER -