Abstract

The nonlinear problem of the flow of a stratified fluid of finite depth over an obstacle is investigated. The flow is assumed to be steady and two dimensional. The effects of viscosity are neglected and the pressure field is assumed to be hydrostatic. Analytic solutions are obtained for compressible flows with constant entropy profiles far upstream. Solutions for large Froude number flows are also obtained. A numerical procedure is introduced which permits the calculation of all possible steady flow fields with or without closed streamlines for any given upstream velocity and entropy (or density) profiles. Calculations are carried out for upstream data obtained from actual measurements in the Rocky Mountains and comparison is made between the solutions corresponding to the compressible and incompressible models.

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