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• W2040267940 abstract "The main focus is the Reynolds number dependence of Kolmogorov normalized low-order moments of longitudinal and transverse velocity increments. The velocity increments are obtained in a large number of flows and over a wide range (40–4250) of the Taylor microscale Reynolds number R λ . The R λ dependence is examined for values of the separation, r , in the dissipative range, inertial range and in excess of the integral length scale. In each range, the Kolmogorov-normalized moments of longitudinal and transverse velocity increments increase with R λ . The scaling exponents of both longitudinal and transverse velocity increments increase with R λ , the increase being more significant for the latter than the former. As R λ increases, the inequality between scaling exponents of longitudinal and transverse velocity increments diminishes, reflecting a reduced influence from the large-scale anisotropy or the mean shear on inertial range scales. At sufficiently large R λ , inertial range exponents for the second-order moment of the pressure increment follow more closely those for the fourth-order moments of transverse velocity increments than the fourth-order moments of longitudinal velocity increments. Comparison with DNS data indicates that the magnitude and R λ dependence of the mean square pressure gradient, based on the joint-Gaussian approximation, is incorrect. The validity of this approximation improves as r increases; when r exceeds the integral length scale, the R λ dependence of the second-order pressure structure functions is in reasonable agreement with the result originally given by Batchelor (1951)." @default.
• W2040267940 created "2016-06-24" @default.
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• W2040267940 date "2001-09-25" @default.
• W2040267940 modified "2023-09-26" @default.
• W2040267940 title "Reynolds-number dependence of turbulent velocity and pressure increments" @default.
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• W2040267940 doi "https://doi.org/10.1017/s0022112001005511" @default.
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