The logarithmic layer in a tidal channel
Abstract
Twenty-minute averaged velocity profiles taken with a bottom-mounted ADCP in a 30-m deep tidal channel have been fitted to a logarithmic form with 1 % accuracy. The height of the log-layer varies tidally and reaches 20 m above the bottom during peak flows of 1 m s -1. The height is well predicted by 0.04 u */ω, where u * is the friction velocity and ω is the angular frequency of the dominant tidal constituent. The mean non-dimensional shear,(∂U/∂z)(u */κz), is within 1 % of unity at the 95% level of confidence inside the log-layer. The friction velocity varies tidally and reaches O(0.05) m s -1 during peak current flow. The bottom drag coefficient referring to the depth-mean flow is 4 × 10 -3. The observed log-layer is not connected to the skin friction, but possibly to the form drag. Deviations of the measured velocity from the logarithmic profiles above the log-layer can be explained by the zero-stress boundary condition at surface and by the entrainment of shallow water at mid-depth. The deviations are inconsistent with the effects of acceleration/deceleration and stratification.
- Publication:
-
Continental Shelf Research
- Pub Date:
- December 1997
- DOI:
- 10.1016/S0278-4343(97)00049-6
- Bibcode:
- 1997CSR....17.1785L