Analytical and numerical study of two-dimensional free surface flow problem
Loading...
Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
université msila
Abstract
In this thesis, we are interested to finding the analytical and the approximate solution to a two
dimensional problem of a fluid flow under a gate, as well as a fluid flow over any obstacle,
we consider that the fluid is incompressible and inviscid, and the effects of gravity are neglected.
This problem is characterized by the nonlinear condition given by Bernoulli’s equation on the free
surface as well as the unknown shape of this flow. When the surface tension effect is neglected,
the exact solution can be obtained using the Hodograph method’s. But if we introduce the
effect of surface tension, it becomes difficult to find the exact solution to this problem, so we
resort to using an approximate method to find the approximate solution, and both methods
based on the conformal transformations theory, these two methods demonstrate that there are
easily implemented give very important simplifications to this type of problem. In the two cases
the problem difficulty is reduced, and transformed it from a two-dimensional problem to a
one-dimensional problem.