Simple mean-error estimation of a recalibration scheme for constant-temperature anemometry measurements

Abstract

Abstract The present study has addressed the error of a recalibration scheme for constant-temperature anemometry (CTA) measurement proposed in a recent study. This recalibration scheme could reduce the effects of the ambient temperature change, which should be negligible in a CTA measurement. The present study has investigated a temporal variation of the error due to the use of the recalibration scheme. In the present study, a calibration curve produced by the recalibration scheme is validated using a temporally varying calibration curve, which is based on the general form of a calibration curve used in CTA measurement. The range of velocity U considered in the present study is U = 1 − 40 m/s. As a result, the relative error of the calibration curve is significant in the range of small velocity. The relative error of the gradient of the calibration curve, which is equivalent to the error of the velocity fluctuation, is also significant in the range of both small velocity and free-stream velocity. A simple cubic function could accurately approximate the temporal variation of these relative errors. Moreover, a simple form for calculating the mean value of the relative error could be derived and validated using the present numerical results.