Certain hydrodynamic models related to the problem of flow around the Joukowski tongue

摘要

The flow of fluid under the Joukowski tongue was studied through an irrigated soil layer into the underlying highly permeable water-bearing horizon containing head subsoil waters, the left semi-infinite part of the roof of which is simulated by an impenetrable base. In this case, the flow-around velocity at the point of the tongue base was assumed to be limited from above by the infiltration intensity related to the soil filtration coefficient. An arbitrary specification of the complex-velocity region, can result in beforehand unforeseen flow features such as unnatural flow separation or the outcome of the depression curve beyond the scope of the motion region. The analysis shows that the use of the semi-inverse method requires obligatory posterior verification of the partial solutions obtained with the purpose of estimating their physical reality.