https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:45594 Wed 02 Nov 2022 13:39:04 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:33015 r = λ, is assessed in various turbulent flows at small to moderate values of the Taylor microscale Reynolds number R_λ. It is found that the contribution of the large-scale terms to the scale by scale energy budget differs from flow to flow. For a fixed R_λ, this contribution is largest on the centreline of a fully developed channel flow but smallest for stationary forced periodic box turbulence. For decaying-type flows, the contribution lies between the previous two cases. Because of the difference in the large-scale term between flows, the third-order longitudinal velocity structure function at r = λ differs from flow to flow at small to moderate R_λ. The effect on the second-order velocity structure functions appears to be negligible. More importantly, the effect of R_λ on the scaling range exponent of the longitudinal velocity structure function is assessed using measurements of the streamwise velocity fluctuation u, with R_λ in the range 500–1100, on the axis of a plane jet. It is found that the magnitude of the exponent increases as R_λ increases and the rate of increase depends on the order n. The trend of published structure function data on the axes of an axisymmetric jet and a two-dimensional wake confirms this dependence. For a fixed R_λ, the exponent can vary from flow to flow and for a given flow, the larger R_λ is, the closer the exponent is to the value predicted by Kolmogorov (Dokl. Akad. Nauk SSSR, vol. 30, 1941a, pp. 299–303) (hereafter K41). The major conclusion is that the finite Reynolds number effect, which depends on the flow, needs to be properly accounted for before determining whether corrections to K41, arising from the intermittency of the energy dissipation rate, are needed. We further point out that it is imprudent, if not incorrect, to associate the finite Reynolds number effect with a consequence of the modified similarity hypothesis introduced by Kolmogorov (J. Fluid Mech., vol. 13, 1962, pp. 82–85) (K62); we contend that this association has misled the vast majority of post K62 investigations of the consequences of K62.]]> Tue 21 Aug 2018 11:32:55 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34526 p*(k*) where Ep and k are the pressure spectrum and the wavenumber, respectively (the symbol * represents the Kolmogorov normalization). Direct numerical simulations of forced HIT suggest that this integral converges toward a constant as the Reynolds number increases.]]> Tue 03 Sep 2019 18:23:29 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:34584 Fri 10 Nov 2023 15:41:28 AEDT ]]>