# Turbulent Fluctuations

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 December 2, 2000, 11:45 Turbulent Fluctuations #1 Thomi Guest   Posts: n/a Hi there, Have you got any suggestions for calculating the turbulent fluctuations/intensities for a time series? Is it the standard deviation of the mean? I appreciate any comments and suggestions. Many thanx, Thomi

 December 6, 2000, 15:52 Re: Turbulent Fluctuations #2 Hallo Guest   Posts: n/a If your time series is steady then the fluctuating velocity (u') is just the instantaneous velocity (u) minus the mean velocity (U). Where the mean is calculated from a given time interval. the turbulent intensity (TI) is usually defined as some estimation of the small scale (or turbulent) velocity scales, non-dimensionalized with the large scale velocities. You can pick different velocity scales depending on the problem you have. Usually, the turbulent velocity scale is the root mean square (urms) where urms = sqrt(1/N * SUM(u'u')) where N is the number of discrete u' measurements and the large scale velocities is typically taken to be U. Note this can be found in any book on Turbulence... (Lumley, Hinze, ...)

 December 6, 2000, 17:39 Re: Turbulent Fluctuations #3 Thomi Guest   Posts: n/a Hi Hallo, Thanks a lot. that helps for a start. so there is no standard deviation involved?

 December 7, 2000, 10:34 Re: Turbulent Fluctuations #4 Hallo Guest   Posts: n/a If you use the standard definitions ie. u=U+u' and the u'rms defined in the previous thread then the turbulent intensity is just the average variations from the mean velocity (or the standard deviation) normalized with the mean velocity. (ie. u'rms is the standard deviation)

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