Hostname: page-component-848d4c4894-2pzkn Total loading time: 0 Render date: 2024-05-08T06:55:29.841Z Has data issue: false hasContentIssue false

The effect of velocity sensitivity on temperature derivative statistics in isotropic turbulence

Published online by Cambridge University Press:  29 March 2006

J. C. Wyngaard
Affiliation:
Air Force Cambridge Research Laboratories, Bedford, Mass. 01730

Abstract

The velocity sensitivity of a resistance-wire temperature sensor is expressed in terms of sensor parameters, and the resulting errors in temperature derivative moments in isotropic turbulence are evaluated. It is shown that velocity sensitivity of a degree completely negligible for most purposes causes severe contamination of the measured third moment. The contamination terms are shown to be production rates of the mean square temperature gradient and vorticity, respectively, and therefore create positive values of measured derivative skewness. The dominant contamination term is related to the temperature spectrum through the balance equation for the mean-square temperature gradient, and calculations based on an assumed spectral form show that under typical conditions the measured skewness is large. This mechanism could provide an alternative to anisotropy as an explanation of the positive skewnesses recently measured in the atmosphere.

Type
Research Article
Copyright
© 1971 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Collis, D. C. & Williams, M. J. 1959 J. Fluid Mech. 6, 357.
Corrsin, S. 1963 Handbuch der Physik, vol. 8. Berlin: Springer.
Corrsin, S. 1164 Phys. Fluids, 7, 1156.
Gibson, C. H., Stegen, G. R. & Williams, R. B. 1970 J. Fluid Mech. 41, 153.
Pao, Y. H. 1965 Phys. Fluids, 8, 1063.
Stewart, R. W. 1969 Radio Science, 4, 1269.