Stratified flow over a bounded obstacle in a channel of finite height

The steady-state solution for the stratified flow over a bounded obstacle in a channel of finite height is obtained through the use of the inviscid unsteady Oseen equations; the body streamline encloses and is produced by a planar momentum sink. The calculations are compared with the experimental observations of Wei, Kao & Pao (1975) and Baines (1977). In a case where theoretical and experimental values match, good agreement was found. This suggests that the Oseen model with its columnar, wavelike and decaying solutions may provide a reasonable alternative to Long's model for subcritical flows.

An Oseen model of the two-dimensional flow of a stratified fluid over an obstacle

The Oseen equations for the two-dimensional flow of a Boussinesq fluid over a thin barrier placed in a channel of finite depth are solved in the double limit ν → 0, t → ∞ under the hypothesis that the velocity at the tip of the barrier is as weakly singular as possible. The predicted flow patterns and drag coefficients are in closer agreement with Davis's experimental observations than those of the Long model.