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Correcting cold wire measurements in isotropic turbulence with a DNS database

Abstract

We estimate the effect of the finite spatial resolution of a cold wire for scalar measurements, using a database from direct numerical simulations (DNS). These are for homogeneous isotropic turbulence at low Taylor-microscale Reynolds number (≃ 42) and Schmidt number unity. Correction factors for the scalar variance, scalar mean dissipation rate, and mixed velocity-scalar derivative skewness are evaluated, for a sensor length of up to 15 times the Batchelor length scale. The largest attenuation effect is found on the dissipation rate, followed by the scalar variance. The mixed skewness,which is affected the least, is overestimated

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