Abstract
Within the framework of the theory of plane steady filtration of an incompressible fluid according to Darcy’s law, two limiting schemes modeling the filtration flows under the Joukowski tongue through a soil massif spread over an impermeable foundation or strongly permeable confined water-bearing horizon are considered.
Highlights
The problem on the flow around a tongue was investigated forthefirsttimebyJoukowskiNEin,[1] where the modified Kirchhoff method from the theory of jets was used for solving problems with a free surface, and a special analytical function, which is widely applied in the theory of filtration, was introduced
We present a uniform technique of solving the problems, which enables us to take into account other basic filtration characteristics in the investigation and to estimate the joint effect of these factors on the pattern of the phenomenon
The problem is solved by using the Polubarinova Kochina method,[2,3] which is based on the analytical theory of the linear differential equations of the Fuks class.[7]
Summary
The problem on the flow around a tongue was investigated forthefirsttimebyJoukowskiNEin,[1] where the modified Kirchhoff method from the theory of jets was used for solving problems with a free surface, and a special analytical function, which is widely applied in the theory of filtration, was introduced. The underlying layer represents an entirely well permeable confined water- bearing horizon and there is infiltration on the free surface.
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