Monte-Carlo simulation study for uncertainty evaluation in turbulent statistics obtained by constant-temperature anemometry

Abstract

Abstract We evaluate the uncertainty of a recalibration scheme correcting for measurements of constant-temperature anemometry (CTA), where an observed velocity by CTA would be affected by variations in ambient temperature in an experiment. The present study elucidates the characteristics of the uncertainty quantitatively. A temporally evolving calibration curve is used to examine the uncertainty of the calibration curve. In the present study, we consider the temporally evolving curve to be a reference curve. The calibration curve predicted by the scheme is first examined. Here, the uncertainty of the gradient of the calibration curve is also considered. A Monte-Carlo simulation investigates the uncertainty in intensity and higherorder statistics of output-voltage fluctuation. Using the gradient of the calibration curve, this study derives a model for the statistics of the output voltage fluctuation, which is validated by the numerical simulation based on the Monte-Carlo simulation.