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Elsevier, Physica D: Nonlinear Phenomena, 3(85), p. 405-424

DOI: 10.1016/0167-2789(95)00063-a

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Statistics of temperature increments in fully developed turbulence Part II. Experiments

Journal article published in 1995 by M. Ould Rouis, F. Anselmet, P. Le Gal ORCID, S. Vaienti
This paper is available in a repository.
This paper is available in a repository.

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Abstract

A partial differential equation for the probability density function (pdf) of temperature increments in fully developed turbulence has been derived in a previous theoretical analysis [S. Vaienti, M. Ould-Rouis, F. Auselmet and P. Le Gal, Physica D 73 (1994) 99]. This equation is a function of two conditional expectations q1 and q2 of respectively the increment of velocity and the temperature dissipation. It was shown that these two quantities are the only parameters that govern the evolution of the pdfs for the temperature increments. With the help of closure hypotheses on q1 and q2, the calculation of the asymptotic forms of this pdf is then tractable and displays a notable deviation from the Gaussian behavior for large temperature increment fluctuations when the spatial separation r lies within the inertial and dissipative ranges. The objective of the present paper is to complete our theoretical approach and to investigate experimentally, from simultaneous measurements of velocity and temperature fluctuations obtained in a laboratory wind tunnel, the evolution of the marginal and joint pdfs of the velocity and temperature increments. Attention is particularly paid to the conditional expectations q1 and q2.