Abstract
Steady recirculating flow is described by means of a mathematical model based on the full unsteady Reynolds equations and the k-ϵ model for turbulence closure. The model is applied to the flow in a steep-sided trench perpendicular to the main flow direction. Inlet profiles are taken with reference to developed channel flow. For the wall boundary a local equilibrium is assumed, yielding among others a logarithmic behaviour for the mean flow velocity. The constants of the k-ϵ model are related to the roughness conditions. A sensitivity study is reported to identify the relative importance of the various constants and inlet conditions. Numerical results are compared with laboratory experiments.
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