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On the correlation between temperature and velocity dissipation fields in a heated turbulent jet

Published online by Cambridge University Press:  29 March 2006

R. A. Antonia  and
C. W. Van Atta
R. A. Antonia
Affiliation:
Department of Mechanical Engineering, University of Sydney, New South Wales 2006
C. W. Van Atta
Affiliation:
Department of Applied Mechanics and Engineering Sciences, University of California, San Diego
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Abstract

A few statistical properties of fine-scale velocity and temperature fluctuations have been measured on the axis of symmetry of a heated turbulent round jet. The probability density of ∂θ/∂x, the streamwise derivative of the temperature fluctuation, is strongly negatively skewed, indicating a lack of isotropy for the fine-scale temperature structure. An estimate of the correlation between the velocity and temperature dissipation fields has been obtained by assuming that the dissipation of velocity and dissipation of temperature can be approximated by (∂θ/∂x)2, where u is the streamwise velocity fluctuation, and (∂θ/∂x)2r respectively. The correlation between the quantities (∂θ/∂x)2r and (∂θ/∂x)2r averages over a volume of linear dimension r, is fairly high and depends on the choice of r. An analysis shows that this correlation plays a vital role in the prediction of high-order structure functions of u and θ. The assumed lognormality of the probability density of (∂θ/∂x)2r and (∂θ/∂x)2r and of their joint density is found to be reasonable over a range of r corresponding to the inertial subrange.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 67 , Issue 2 , 28 January 1975 , pp. 273 - 288
Copyright
© 1975 Cambridge University Press

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