Imperial College London
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ProfessorJonathanMorrison

Faculty of Engineering, Department of Aeronautics

Professor of Experimental Fluid Mechanics
 
 
 
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Contact

 

+44 (0)20 7594 5067j.morrison Website

 
 
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Location

 

CAGB315City and Guilds BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Morrison:2016:10.1017/jfm.2015.707,
author = {Morrison, JF and Vallikivi, M and Smits, AJ},
doi = {10.1017/jfm.2015.707},
journal = {Journal of Fluid Mechanics},
pages = {602--613},
title = {The inertial subrange in turbulent pipe flow: centreline},
url = {http://dx.doi.org/10.1017/jfm.2015.707},
volume = {788},
year = {2016}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The inertial-subrange scaling of the axial velocity component is examined for the centreline of turbulent pipe flow for Reynolds numbers in the range 249Reλ986. Estimates of the dissipation rate are made by both integration of the one-dimensional dissipation spectrum and the third-order moment of the structure function. In neither case does the non-dimensional dissipation rate asymptote to a constant; rather than decreasing, it increases indefinitely with Reynolds number. Complete similarity of the inertial range spectra is not evident: there is little support for the hypotheses of Kolmogorov (Dokl. Akad. Nauk SSSR, vol. 32, 1941a, pp. 16–18; Dokl. Akad. Nauk SSSR, vol. 30, 1941b, pp. 301–305) and the effects of Reynolds number are not well represented by Kolmogorov’s ‘extended similarity hypothesis’ (J. Fluid Mech., vol. 13, 1962, pp. 82–85). The second-order moment of the structure function does not show a constant value, even when compensated by the extended similarity hypothesis. When corrected for the effects of finite Reynolds number, the third-order moments of the structure function accurately support the ‘four-fifths law’, but they do not show a clear plateau. In common with recent work in grid turbulence, non-equilibrium effects can be represented by a heuristic scaling that includes a global Reynolds number as well as a local one. It is likely that non-equilibrium effects appear to be particular to the nature of the boundary conditions. Here, the principal effects of the boundary conditions appear through finite turbulent transport at the pipe centreline, which constitutes a source or a sink at each wavenumber.
AU  - Morrison,JF
AU  - Vallikivi,M
AU  - Smits,AJ
DO  - 10.1017/jfm.2015.707
EP  - 613
PY  - 2016///
SN  - 0022-1120
SP  - 602
TI  - The inertial subrange in turbulent pipe flow: centreline
T2  - Journal of Fluid Mechanics
UR  - http://dx.doi.org/10.1017/jfm.2015.707
UR  - https://www.cambridge.org/core/journals/journal-of-fluid-mechanics/article/inertial-subrange-in-turbulent-pipe-flow-centreline/4DEBEE742115D1E6C027A3D377306005
UR  - http://hdl.handle.net/10044/1/29350
VL  - 788
ER  -
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