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An analysis of the response of an X-probe which takes into account the axial sensitivity k , the effect of the w component of velocity and the effective rectification by the hot wire is presented. Owing to rectification points in the measured u, v ‘phase plane’ are confined within a certain sector, thus leading to distortions in the measured joint probability density functions. Numerical computations show that high turbulence intensities lead to large errors in second-order moments measured by cross-wire probes; for instance, the error in the measured correlation (over and above that due to k ) can be as high as 28% when the turbulence intensity is 35%.
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Tutu et al. (1975) studied this question.
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