Abstract
A small gradient in the densities (Δρ) of two rivers was recently shown
to develop coherent streamwise orientated vortices (SOVs) in the mixing
interface of their confluence. We further investigate this phenomenon at
the Coaticook and Massawippi confluence (Quebec, Canada) using
eddy-resolved numerical modelling to examine how the magnitude and
direction of Δρ; affect this secondary flow feature. Results show that a
front from the denser channel always slides underneath the lighter
channel independent of the direction of Δρ. When the fast tributary
(Coaticook) is denser, coherent clockwise rotating density SOVs tend to
form on the slow (Massawippi) side. However, when the slow Massawippi is
denser by the same magnitude, anticlockwise secondary flow caused
principally by shear induced interfacial instabilities develop on the
fast Coaticook side. This shows the inertia of the tributary opposing
the lateral propagation of the dense front shapes the secondary flow
characteristics of the mixing interface. Moreover, in the absence of a
density difference, anticlockwise SOVs are predicted by the model which
correspond well to new aerial observations of anticlockwise SOVs at the
site. A densimetric Froude number (Fd) convention accounting for the
direction of Δρ is proposed to accurately convey the local inertial
forces that oppose the lateral propagation of the dense front. Finally,
a conceptual model of the mixing interface’s secondary flow structure
over a spectrum of plausible Fd values is proposed. The Fd convention
provides a flexible and consistent metric for use in future studies
examining the effects of Δρ on river confluence hydrodynamics.