Tp. Schopflocher et Pj. Sullivan, SPATIAL-RESOLUTION IN THE MEASUREMENT OF CONCENTRATION FLUCTUATIONS, Boundary - layer meteorology, 87(1), 1998, pp. 27-40
In a turbulent Bow, a miscible contaminant is confined to sheets and s
trands of the very thin Batchelor conduction cut-off length. This fact
has been surmised for some time and has recently been observed direct
ly through high precision measurements. This fine-scaled texture of th
e contaminant concentration held makes it an extraordinary challenge t
o achieve (experimentally) adequate continuum scale resolution, partic
ular ly in important environmental flows such as the atmospheric bound
ary layer. In this paper, an extrapolation scheme is proposed whereby
the systematic measurement (with known sample volumes) of the lower-or
der moments of the concentration fluctuations are used to approximate
the true, perfectly resolved values, and hence to approximate the true
probability density function. Such a scheme relies on empirical data,
and so the need fur more experiments designed to investigate the effe
cts of spatial resolution cannot be over-emphasized.