https://nova.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:15262 102) indicate that, to obtain a 5/3 scaling range, R λ must exceed 103. The ratio (5/3 + m u )/m θ is approximately 2, in close conformity with the proposal of Danaila and Antonia [“Spectrum of a passive scalar in moderate Reynolds number homogeneous isotropic turbulence,” Phys. Fluids21, 111702 (2009)].]]> Wed 11 Apr 2018 11:48:55 AEST ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:9404 Sat 24 Mar 2018 08:39:33 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:19671 Sat 24 Mar 2018 08:01:13 AEDT ]]> https://nova.newcastle.edu.au/vital/access/ /manager/Repository/uon:37033 θ, the mean dissipation rate of θ̅²/2, where θ̅² is the temperature variance. The analytical approach follows that of Thiesset et al. (J. Fluid Mech., vol. 748, 2014, R2) who developed an expression for ϵ_κ, the mean turbulent kinetic energy dissipation rate, using the transport equation for (δu)², the second-order velocity structure function. Experimental data show that complete self-preservation for all scales of motion is very well satisfied along the jet axis for streamwise distances larger than approximately 30 times the nozzle diameter. This validation of the analytical results is of particular interest as it provides justification and confidence in the analytical derivation of power laws representing the streamwise evolution of different physical quantities along the axis, such as: η, λ, λθ, R_U, R_Θ (all representing characteristic length scales), the mean temperature excess Θ₀, the mixed velocity–temperature moments uθ², vθ² and θ² and ∈_θ. Simple models are proposed for uθ² and vθ² in order to derive an analytical expression for A_∈θ, the prefactor of the power law describing the streamwise evolution of ∈θ. Further, expressions are also derived for the turbulent Péclet number and the thermal-to-mechanical time scale ratio. These expressions involve global parameters that are most likely to be influenced by the initial and/or boundary conditions and are therefore expected to be flow dependent.]]> Fri 07 Aug 2020 10:22:14 AEST ]]>