The cross‐channel flow at the entrance of Lancaster Sound

A westward current flows along the northern side of Lancaster Sound and an eastward current flows along the southern side. A cross‐channel flow is commonly observed to link them near the eastern entrance of Lancaster Sound; this flow is modelled assuming inviscid flow and conservation of potential vorticity. It is shown that the westward decrease in depth is sufficient to cause a cross‐channel flow that couples the inflow to the outflow. The modelled cross‐channel flow takes place at a distance inside the entrance that is less than that observed for the surface current. Obviously stratification reduces the coupling of the surface current to the bathymetry. A more realistic result is obtained with the barotropic model if the bottom slope is halved. An inviscid mean barotropic flow out of the channel is also modelled and found to be concentrated on the southern bank in order to conserve potential vorticity. It seems that barotropic instability and friction would limit the narrowing of the flow.