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In this paper we investigate whether the features of the non-equilibriumcascade, which have been identified in recent studies using high-fidelitytools, can be captured in the case of the classical dissipation scaling byturbulence closures based on the statistical description of freely decayingisotropic turbulence. Numerical results obtained using the EDQNM model over avery large range of Reynolds numbers (from $Re_{\lambda}=50$ up to$Re_{\lambda}=10^6$) are analyzed to perform an extensive investigation of thescaling region identified as inertial range in Kolmogorov's theory. It isobserved that EDQNM results are in agreement with the results of Lundgren'smatched asymptotic expansion approach to the Karman-Howarth equation. Bothpredict that the Kolmogorov inertial range equilibrium is never obtainedirrespective of Reynolds number. Equilibrium is reached in the vicinity of theTaylor length $\lambda$ (which depends on viscosity) as Reynolds number tendsto infinity and there is a gradual departure from equilibrium as the lengthscale moves away from $\lambda$, in particular towards scales larger than$\lambda$ all the way to the integral length-scale.

Analysis of Lundgren's matched asymptotic expansion approach to the K\'arm\'an-Howarth equation using the EDQNM turbulence closure