Freshwater is released along a wall of a basin containing salt water and rotating anticlockwise. The freshwater source is located near the surface between the center of the cylindrical basin and a corner along the wall. Experiments are performed with different discharge rates and the same rotation rate. The freshwater initially forms a bulge near the source, and then a buoyant gravity current bends to the right and flows along the wall toward the periphery of the basin. Separation of the current at the corner is never observed. The salinity front along the wall moves persistently away from the wall with a time scale greatly exceeding the rotation period. Its movement is compared to numerical solutions of a twolayer theory, where friction in the Ekman layer straddling the layer interface is the sole ageostrophic effect. The theory shows that the depth of the interface (h) satisfies a nonlinear diffusion equation. The symmetric part of the diffusion tensor causes light fluid to move down the gradient of h and represents the effect of vertical friction. The associated diffusivity reaches a maximum at h/δ = π/2, where δ is the Ekman layer depth. The antisymmetric part of the diffusion tensor causes light fluid to move perpendicularly to ∇h and represents the effect of geostrophic motion. The associated diffusivity increases monotonically with h/δ and greatly exceeds the diffusivity of the symmetric part if h/δ is of order of one or more. Comparison of numerical solutions with experimental data supports the theory.
Recollection by Jack WhiteheadIn 1979 and 1980, I was extremely fortunate to have the opportunity to experimentally test results of a theory that Professor Stern was then finishing up. A demonstration film that we playfully entitled "Rotating Bores" (Stern, Whitehead) finished off the project. We greatly enjoyed working together, and soon developed both a close friendship and a collaboration of convenience; he used the project to support travel to the laboratory and the GFD summer school at WHOI, I picked his fruitful brain for new studies of coastal currents and eddies, and the projects always involved numerous students and colleagues. This present study, in collaboration with O. Marchal, reminds me of those days with great satisfaction. Here, we look at a laboratory current with a balance between Coriolis, pressure and viscous forces that is found in the limit of very small volume flux. That is exactly the opposite limit to the Coriolis, pressure and inertia balance for currents with large flux that Stern investigated twenty-three years ago. I miss him and regret that we cannot show these new results to him.