The validity of the Kolmogorov refined similarity hypothesis (RSH) is tested experimentally in the mixing layer and in the return channel of a large wind tunnel, at Rλ≈2.0×103 and 3.2×103, respectively. The energy dissipation rate is estimated from the longitudinal gradient of both the longitudinal ∂u/∂x and transverse ∂w/∂x velocity components, and the results are in good agreement with RSH in both cases.
[1] This paper describes an alternative approach to analyzing multiple received signals for spaced antenna radars. The approach is based on computation and analysis of the different order auto and cross structure functions (SF) for the received signal s power. SF of order p Ն 2 is the p-th order statistical moment of the difference between signals. Equations for cross and auto SF at p ϭ 2 and 4 are derived for a spaced antenna radar with a vertically directed transmitted beam. SF parameters in these equations are related to the mean horizontal velocity components and turbulence characteristics of a scattering medium. Theoretical limitations on applying the derived equations to a specific radar are presented. Advantages and shortcomings of the proposed approach with respect to the correlation function and spectra-based approaches are discussed as well. The major advantage of the proposed approach is that SF of any order p Ն 2 can be derived and applied to practical measurements; the higher-order SF provide additional information about the scattering medium.
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