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**Harvard**

George, W. (2007) *Is there a universal log law for turbulent wall-bounded flows?*.

** BibTeX **

@article{

George2007,

author={George, William K.},

title={Is there a universal log law for turbulent wall-bounded flows?},

journal={Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences},

issn={1364-503X},

volume={365},

issue={1852},

pages={789-806},

abstract={The history and theory supporting the idea of a universal log law for turbulent wall-bounded flows are briefly reviewed. The original idea of justifying a log law from a constant Reynolds stress layer argument is found to be deficient. By contrast, it is argued that the logarithmic friction law and velocity profiles derived from matching inner and outer profiles for a pipe or channel flow are well-founded and consistent with the data. But for a boundary layer developing along a. at plate it is not, and in fact it is a power law theory that seems logically consistent. Even so, there is evidence for at least an empirical logarithmic fit to the boundary-friction data, which is indistinguishable from the power law solution. The value of kappa approximate to 0.38 obtained from a logarithmic curve fit to the boundary-layer velocity data, however, does not appear to be the same as for pipe flow for which 0.43 appears to be the best estimate. Thus, the idea of a universal log law for wall-bounded flows is not supported by either the theory or the data.},

year={2007},

keywords={wall turbulence, log law, pipe, channel, boundary layer, PIPE-FLOW, REGION },

}

** RefWorks **

RT Journal Article

SR Print

ID 88534

A1 George, William K.

T1 Is there a universal log law for turbulent wall-bounded flows?

YR 2007

JF Philosophical Transactions of the Royal Society a-Mathematical Physical and Engineering Sciences

SN 1364-503X

VO 365

IS 1852

SP 789

OP 806

AB The history and theory supporting the idea of a universal log law for turbulent wall-bounded flows are briefly reviewed. The original idea of justifying a log law from a constant Reynolds stress layer argument is found to be deficient. By contrast, it is argued that the logarithmic friction law and velocity profiles derived from matching inner and outer profiles for a pipe or channel flow are well-founded and consistent with the data. But for a boundary layer developing along a. at plate it is not, and in fact it is a power law theory that seems logically consistent. Even so, there is evidence for at least an empirical logarithmic fit to the boundary-friction data, which is indistinguishable from the power law solution. The value of kappa approximate to 0.38 obtained from a logarithmic curve fit to the boundary-layer velocity data, however, does not appear to be the same as for pipe flow for which 0.43 appears to be the best estimate. Thus, the idea of a universal log law for wall-bounded flows is not supported by either the theory or the data.

LA eng

DO 10.1098/rsta.2006.1941

OL 30