I have the temporal correlation (from hot wire anemometer measurements) data obtained by direct method as well as from spectrum. When I calculate Taylor's scale by fitting a osculating parabola, I get different answers. Which one is correct and why?
Your result will strongly depend on your frequency resolution and the S/N ratio of your signal. A workaround for experimental data is presented in Hällback et al (1989), see also Kurian & Fransson (2009), section 3.4.2. (doi:10.1088/0169-5983/41/2/021403)
Hello Sir,
Thanks for your answer. I have already read the paper by Kurian. The problem is Delta t (indicated as increasing sampling frequency), my hot wire setup can have 20,000 hz max. What should I do??.
Your best time resolution (assuming that the hot-wire circuit has a high enough freq response) is \delta t=5e-5s, which means you can resample the data to have larger \delta t values in order to produce the plot depicted on Fig 14. Depending on the time-scales of the flow under consideration this might be sufficient to have small enough \delta x / \lambda_x values to extrapolate the parabola accurately.
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