The Intermittency Function in a boundary layer beneath free stream turbulence with approximately the same turbulence level, can be obtained in an innovative way, starting from measurements of other statistical quantities. In particular Length Scales, Skewness and Kurtosis have been here employed. The Intermittency Function can be approximated through a modified Erf function, with the presence of the logarithmic function, to better reproduce the real behaviour of the Intermittency phenomenon. Lastly and in particular, so-called associated distribution functions can be obtained for Length Scales, Skewness, Kurtosis which are valid in boundary layers along a smooth flat plate, with zero longitudinal pressure gradient, and with free stream turbulence.
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