Title

The Gamma Distribution As A Model For Temperature Dissipation In Intermittent Turbulence

Abstract

Following a recent theory suggesting that the local average rate of energy dissipation ∈r follows statistics predicted by the gamma distribution rather than the lognormal distribution, the gamma distribution is further examined here as a model for the local temperature dissipation rate χr. Comparisons of measured moments 〈χrm〉 with those predicted by both the gamma and lognormal distributions clearly favor the gamma model for predicting the power-law exponents of r/L. Based on gamma models for both ∈r and χr, the bivariate gamma distribution is then examined as a possible model for the joint distribution of dissipation rates ∈r and χr. In particular, the bivariate gamma model and the bivariate lognormal model are both compared with the inertial-range behavior of measured temperature structure functions up to order 12. Some additional comparisons of these models are also made with data involving mixed moments of the velocity and temperature structure functions. © 1989 American Institute of Physics.

Publication Date

1-1-1990

Publication Title

Physics of Fluids A

Volume

2

Issue

1

Number of Pages

105-110

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1063/1.857685

Socpus ID

0001056083 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0001056083

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