An explanation for salinity- and SPM-induced vertical countergradient buoyancy fluxes

An explanation for salinity- and SPM-induced vertical countergradient buoyancy fluxes

De Nijs, M.A.J.
Pietrzak, J.D.

Civil Engineering and Geosciences

Hydraulic Engineering

2011-02-08

Measurements of turbulent fluctuations of velocity, salinity, and suspended particulate matter (SPM) are presented. The data show persistent countergradient buoyancy fluxes. These countergradient fluxes are controlled by the ratio of vertical turbulent kinetic energy (VKE) and available potential energy (APE) terms in the buoyancy flux equation. The onset of countergradient fluxes is found to approximately coincide with larger APE than VKE. It is shown here that the ratio of VKE to APE can be written as the square of a vertical Froude number. This number signifies the onset of the dynamical significance of buoyancy in the transport of mass. That is when motions driven by buoyancy begin to actively determine the vertical turbulent transport of mass. Spectral and quadrant analyses show that the occurrence of countergradient fluxes coincides with a change in the relative importance of turbulent energetic structures and buoyancydriven motions in the transport of mass. Furthermore, these analyses show that with increasing salinity-induced Richardson number (Ri), countergradient contributions expand to the larger scales of motions and the relative importance of outward and inward interactions increases. At the smaller scales, at moderate Ri, the countergradient buoyancy fluxes are physically associated with an asymmetry in transport of fluid parcels by energetic turbulent motions. At the large scales, at large Ri, the countergradient buoyancy fluxes are physically associated with convective motions induced by buoyancy of incompletely dispersed fluid parcels which have been transported by energetic motions in the past. Moreover, these convective motions induce restratification and enhanced settling of SPM. The latter is generally the result of salinity-induced convective motions, but SPM-induced buoyancy is also found to play a role.

countergradient buoyancy fluxes
stratified shear flow
available turbulent potential energy
vertical turbulent kinetic energy
energetic coherent structures
convective motions

http://resolver.tudelft.nl/uuid:e4329435-b9a7-4132-bce1-a1ee382713b9

https://doi.org/10.1007/s10236-011-0375-x

Springer

1616-7341

Ocean Dynamics, 61, 2011

Institutional Repository

journal article

(c) 2011 De Nijs, M.A.J.; Pietrzak, J.D.; This article is published with open access at Springerlink.com