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• W2040419052 abstract "Recent research (Renner, Peinke and Friedrich 2001 J. Fluid Mech. 433 383) has shown that the statistics of velocity increments in a turbulent jet exhibit Markovian properties for scales of size greater than the Taylor microscale, λ. In addition, it was shown that the probability density functions (PDFs) of the velocity increments, v (r), were governed by a Fokker–Planck equation. Such properties for passive scalar increments have never been tested. The present work studies the (velocity and) temperature field in grid-generated wind tunnel turbulence for Taylor-microscale-based Reynolds numbers in the range 140⩽Rλ⩽582. Increments of longitudinal velocity were found to (i) exhibit Markovian properties for separations r⪆λ and (ii) be describable by a Fokker–Planck equation because terms in the Kramers–Moyal expansion of order >2 were small. Although the passive scalar increments, δ(r), also exhibited Markovian properties for a similar range of scales as the velocity field, the higher-order terms in the Kramers–Moyal expansion were found to be non-negligible at all Reynolds numbers, thus precluding the PDFs of δ(r) from being described by a Fokker–Planck equation. Such a result indicates that the scalar field is less Markovian than the velocity field—an attribute presumably related to the higher level of internal intermittency associated with passive scalars." @default.
• W2040419052 created "2016-06-24" @default.
• W2040419052 creator A5023185618 @default.
• W2040419052 creator A5038682830 @default.
• W2040419052 date "2004-05-12" @default.
• W2040419052 modified "2023-09-23" @default.
• W2040419052 title "Markovian properties of passive scalar increments in grid-generated turbulence" @default.
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• W2040419052 doi "https://doi.org/10.1088/1367-2630/6/1/049" @default.
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