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A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is considered. It is shown that the solution can be found by using a… Click to show full abstract
A problem of an unsteady plane flow of an ideal incompressible fluid with a free boundary is considered. It is shown that the solution can be found by using a complex transport equation. In this case, the problem is linearized by means of the hodograph transform (the velocity components are chosen as independent variables). Examples of exact solutions are obtained. Various scenarios of formation of singularities on the free boundary within a finite time are considered.
Keywords:
problem;
application transport;
fluid free;
exact solutions;
free boundary
Journal Title: Journal of Fluid Mechanics
Year Published: 2020
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Journal Title: Journal of Fluid Mechanics
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!