https://ogma.newcastle.edu.au/vital/access/ /manager/Index en-au 5 https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:17051 θ) is represented by a power-law function of Reynolds number, and it approaches 5/3 faster than that for the velocity spectrum (mu). Results show that the ratio between the velocity and temperature scaling range exponents, (5/3+m_u)/m_θ, is about 1.98.]]> Wed 11 Apr 2018 15:29:00 AEST ]]> https://ogma.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://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19671 Sat 24 Mar 2018 08:01:13 AEDT ]]> https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:19416 nu and 〈θ²〉 ~ (χ - χ₀)^nθ (χ₀ is the virtual origin of the flow) and with the further assumption that the one-point energy and scalar variance budgets are represented closely by a balance between the rates of change of 〈u²〉 and 〈θ²〉 and the corresponding mean energy dissipation rates, the products 〈u²〉λ_u^-2nu and 〈θ²〉λ_θ^-2nθ must remain constant with respect to χ. Here λ_u and λ_θ are the Taylor and Corrsin microscales. This is unambiguously supported by previously available data, as well as new measurements of u and θ made at small Reynolds numbers downstream of three different biplane grids. Implications for invariants based on measured integral length scales of u and θ are also tested after confirming that the dimensionless energy and scalar variance dissipation rate parameters are approximately constant with χ. Since the magnitudes of n_u and n_θ vary from grid to grid and may also depend on the Reynolds number, the Saffman and Corrsin invariants which correspond to a value of -1.2 for n_u and n_θ are unlikely to apply in general. The effect of the Reynolds number on n_u is discussed in the context of published data for both passive and active grids.]]> Sat 24 Mar 2018 07:52:08 AEDT ]]>