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Implications of inertial subrange scaling for stably stratified mixing

Portwood, G.D. ; de Bruyn Kops, S.M. ; Caulfield, C.P.

Journal of fluid mechanics, 2022-05, Vol.939, Article A10 [Periódico revisado por pares]

Cambridge, UK: Cambridge University Press

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Título:
Implications of inertial subrange scaling for stably stratified mixing
Autor: Portwood, G.D. ; de Bruyn Kops, S.M. ; Caulfield, C.P.
Assuntos: Approximation ; Asymptotic properties ; Brunt-vaisala frequency ; Constants ; Dimensional analysis ; Direct numerical simulation ; Energy ; ENGINEERING ; Fluid flow ; Fluids ; Hypotheses ; JFM Papers ; Kinematic viscosity ; Kinematics ; Kinetic energy ; Mathematical models ; Mixing: Turbulent mixing ; Parameterization ; Potential energy ; Reynolds number ; Robustness (mathematics) ; Scaling ; Time ; Turbulence ; Turbulent Flows: Stratified turbulence ; Turbulent Flows: Turbulence modelling ; Turbulent mixing ; Viscosity
É parte de: Journal of fluid mechanics, 2022-05, Vol.939, Article A10
Notas: USDOE
89233218CNA000001; N00014-15-1-2248; FP-CFD-FY14-007
LA-UR-20-28841
US Department of the Navy, Office of Naval Research (ONR)
US Army Research Laboratory (USARL)
Descrição: We investigate the effects of the turbulent dynamic range on active scalar mixing in stably stratified turbulence by adapting the theoretical passive scalar modelling arguments of Beguier, Dekeyser & Launder (1978) (Phys. Fluids, vol. 21 (3), pp. 307–310) and demonstrating their usefulness through consideration of the results of direct numerical simulations of statistically stationary homogeneous stratified and sheared turbulence. By analysis of inertial and inertial–convective subrange scalings, we show that the relationship between the active scalar and turbulence time scales is predicted by the ratio of the Kolmogorov and Obukhov–Corrsin constants, provided mean flow parameters permit the two subrange scalings to be appropriate approximations. We use the resulting relationship between time scales to parameterise an appropriate turbulent mixing coefficient $\varGamma \equiv \chi /\epsilon$, defined here as the ratio of available potential energy ($E_p$) and turbulent kinetic energy ($E_k$) dissipation rates. With the analysis presented here, we show that $\varGamma$ can be estimated by $E_p,E_k$ and a universal constant provided an appropriate Reynolds number is sufficiently high. This large Reynolds number regime appears here to occur at $ {{Re_b}} \equiv \epsilon / \nu N^{2} \gtrapprox 300$ where $\nu$ is the kinematic viscosity and $N$ is the characteristic buoyancy frequency. We propose a model framework for irreversible diapycnal mixing with robust theoretical parametrisation and asymptotic behaviour in this high-$ {{Re_b}}$ limit.
Editor: Cambridge, UK: Cambridge University Press
Idioma: Inglês

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Implications of inertial subrange scaling for stably stratified mixing

Portwood, G.D. ; de Bruyn Kops, S.M. ; Caulfield, C.P.

Cambridge, UK: Cambridge University Press

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