Turbulence evolution and mixing in a two-layer stably stratified fluid
- 25 February 1995
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 285, 41-67
- https://doi.org/10.1017/s0022112095000450
Abstract
The results of an experimental study of shear-free decaying grid-generated turbulence on both sides of a sharp interface between two homogeneous layers of different densities are presented. The evolution of turbulence and mixing were examined by simultaneously mapping the velocity (u, w) and density fields (ρ) and the vertical mass flux $F(=\overline{\rho w}/\rho\prime w\prime)$ together with flow visualization in a low-noise water tunnel. Buoyancy was induced by salinity differences so the value of the Schmidt number Sc = 700. Density stratification altered the inertial-buoyancy force balance (most simply expressed by Nt, the product of the buoyancy frequency N and turbulent timescale t) so as to attenuate turbulent velocity fluctuations, vertical motions and interfacial convolutions, normalized density fluctuations, vertical flux mass, and mean interfacial thickness. Vertical velocity fluctuations w′ were found to increase with distance from the interface, whereas the u′-distribution can be non-monotonic. The maximum value of the mass flux, F, was found to be about 0.5 which was less than the typical value of 0.7 for thermally stratified wind tunnel experiments for which Sc = 0.7. The vertical mass flux can be a combination of down-gradient and counter-gradient transport with the ratio varying with Nt (e.g. at Nt ≈ 5, the flux is counter-gradient). The flux Richardson number Rf was found to increase monotonically to values of approximately 0.05.
Keywords
This publication has 21 references indexed in Scilit:
- The evolution of grid-generated turbulence under conditions of stable thermal stratificationJournal of Fluid Mechanics, 1990
- The decay of turbulence in thermally stratified flowJournal of Fluid Mechanics, 1990
- Turbulent mixing at a shear-free density interfaceJournal of Fluid Mechanics, 1988
- The evolution of grid-generated turbulence in a stably stratified fluidJournal of Fluid Mechanics, 1986
- A statistical model of fluid-element motions and vertical diffusion in a homogeneous stratified turbulent flowJournal of Fluid Mechanics, 1983
- On potential energy density in an incompressible, stratified fluidJournal of Fluid Mechanics, 1981
- Mixing across a density interface produced by grid turbulenceJournal of Fluid Mechanics, 1980
- The influence of molecular diffusivity on turbulent entrainment across a density interfaceJournal of Fluid Mechanics, 1968
- The effects of radiative transfer on turbulent flow of a stratified fluidJournal of Fluid Mechanics, 1958
- Turbulent transport of heat and momentum from an infinite rough planeJournal of Fluid Mechanics, 1957