Application of a Frictional Channel Flow Theory to Flow in the Prince of Wales Channel, Torres Strait

Abstract

Abstract Turbulent flow is considered in a narrow, constant-depth channel connecting two basins having a time-dependent sea-level difference. The bosom stress is taken to be linear rather than quadratic in velocity, even when flows are quite strong. This approximation is justified theoretically by comparing appropriate linear and nonlinear solutions. Simple formulae are available for the depth-averaged current speed ū along the channel axis in terms of the sea-level gradient along that axis. Application of suitable mixing length theory shows that the stress should vary linearly with depth even for time-dependent flows. The mixing length theory predicts the current profile to be logarithmic near the bottom and slightly greater than logarithmic near the surface. The theory was applied to sea level tidal constants and some acoustic Doppler and ship drift measurements recently made in the Prince of Wales Channel, Torres Strait. Sea level gradients and tidal flows in the channel are large because the channel j...