https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:26922 Wed 11 Apr 2018 15:34:51 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17033 t which exhibits some remarkable universal facets over an impressively wide range of scales. This allows us to model the third-order structure functions in different decaying flows covering a large extent of Reynolds numbers. The model is numerically time integrated to predict the decay of second-order structure functions and compared to experiments in grid turbulence. Agreement between predictions and measurements is satisfactory.]]> Wed 11 Apr 2018 14:57:04 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3032 Wed 11 Apr 2018 10:45:40 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3128 Wed 11 Apr 2018 09:30:27 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:3133 Wed 11 Apr 2018 09:22:36 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34388 1/4] and velocity scale v_K [≡(ν⋶)^1/4] also emerge as natural scaling parameters in conformity with SP, indicating that Kolmogorov's first hypothesis is subsumed under the more general hypothesis of SP. Further, the requirement for a very large Reynolds number is also relaxed, at least for the first similarity hypothesis. This requirement however is still necessary to derive the two-thirds law (or the four-fifths law) from the analysis. These analytical results are supported by experimental data in wake, jet, and grid turbulence. An expression for the fourth-order moment of the longitudinal velocity increments (δu)⁴ is derived from the analysis carried out in the inertial range. The expression, which involves the product of (δu)² and ∂δp/∂x, does not require the use the volume-averaged dissipation ⋶_r, introduced by Oboukhov [Oboukhov, Some specific features of atmospheric turbulence, J. Fluid Mech. 13, 77 (1962)] on a phenomenological basis and used by Kolmogorov to derive his refined similarity hypotheses [Kolmogorov, A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, J. Fluid Mech. 13, 82 (1962)], suggesting that ⋶_r is not, like ⋶, a quantity issuing from the Navier-Stokes equations.]]> Wed 04 Sep 2019 09:54:15 AEST ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:6960 Sat 24 Mar 2018 08:38:08 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:21391 λ is sufficiently large. The method is in fact applied to the lower wavenumber end of the dissipative range thus avoiding most of the problems due to inadequate spatial resolution of the velocity sensors and noise associated with the higher wavenumber end of this range.The use of spectral data (30 ≤ R_λ ≤ 400) in both passive and active grid turbulence, a turbulent mixing layer and the turbulent wake of a circular cylinder indicates that the method is robust and should lead to reliable estimates of ⟨ε⟩ in flows or flow regions where the first similarity hypothesis should hold; this would exclude, for example, the region near a wall.]]> Sat 24 Mar 2018 08:05:03 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34584 Fri 10 Nov 2023 15:41:28 AEDT ]]>