Engqvist, AndersHogg, Andrew2015-12-080022-1120http://hdl.handle.net/1885/34723A self-similar solution describing stratified flow through a non-rectangular channel is derived. The solution shown here is an extension of Wood's (1968) solution for stratified withdrawal through a rectangular channel. We consider a restricted set of geometries (where the bottom of the channel is constrained to be flat) and calculate the flow, assuming first multi-layer stratification, and second continuous stratification. In the case of two-layer flow we prove that the self-similar solution is the only possible solution. The analytical solutions are corroborated by three-dimensional numerical model simulations.Keywords: Computer simulation; Mathematical models; Solutions; Non-rectangular channels; Stratified flow; Channel flow; channel flow; fluid mechanics; mathematical modeling; stratification; stratified flow200410.1017/S00221120040090852015-12-08