Mathematical model for logarithmic scaling of velocity fluctuations in wall turbulence

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Hideaki Mouri

Abstract

For wall turbulence, moments of velocity fluctuations are known to be logarithmic functions of the height from the wall. This logarithmic scaling is due to the existence of a characteristic velocity and to the nonexistence of any characteristic height in the range of the scaling. By using the mathematics of random variables, we obtain its necessary and sufficient conditions. They are compared with characteristics of a phenomenological model of eddies attached to the wall and also with those of the logarithmic scaling of the mean velocity.

References

Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hideaki MouriYoshihide Kawashima
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hideaki MouriYoshihide Kawashima
Apr 3, 2012·Physical Review Letters·M HultmarkA J Smits
Apr 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hideaki Mouri

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Citations

Jan 20, 2018·Physical Review. E·Hideaki MouriKazuyasu Mori

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