A Laboratory Study of River Discharges into Shallow Seas

Thomas Joseph Crawford and Paul F. Linden, University of Cambridge, DAMTP, Cambridge, United Kingdom
Abstract:
We present an experimental study that aims to simulate the buoyancy driven coastal currents produced by estuarine freshwater discharges into the ocean. The currents are generated inside a rotating tank filled with saltwater by the continuous release of buoyant freshwater from a source structure located at the fluid surface. The freshwater is discharged horizontally from a finite-depth source, giving rise to significant momentum-flux effects and a non-zero potential vorticity. We perform a parametric study in which we vary the rotation rate, freshwater discharge magnitude, the density difference and the source cross-sectional area. The parameter values are chosen to match the regimes appropriate to the River Rhine and River Elbe when entering the North Sea. Persistent features of an anticyclonic outflow vortex and a propagating boundary current were identified and their properties quantified. We also present a finite potential vorticity, geostrophic model that provides theoretical predictions for the current height, width and velocity as functions of the experimental parameters. The experiments and model are compared with each other in terms of a set of non-dimensional parameters identified in the theoretical analysis of the problem. Good agreement between the model and the experimental data is found. The effect of mixing in the turbulent ocean is also addressed with the addition of an oscillating grid to the experimental setup. The grid generates turbulence in the saltwater ambient that is designed to represent the mixing effects of the wind, tides and bathymetry in a shallow shelf sea. The impact of the addition of turbulence is discussed in terms of the experimental data and through modifications to the theoretical model to include mixing. Once again, good agreement is seen between the experiments and the model.