Exact solutions of the problem of free-boundary unsteady flows
Fluid Dynamics
2015-06-11 v1
Abstract
Some approach to the solution of boundary value problems for finding functions, which are analytical in a wedge, is proposed. If the ratio of the angle at the wedge vertex to a number \pi is rational, then the boundary value problem is reduced to the finite system of ordinary differential equations. Such approach, applied the problem of inertial motion of a liquid wedge, made it possible to sum series with small denominators arising in the problem and find four exact examples of self-similar flows with a free boundary.
Keywords
Cite
@article{arxiv.1210.2197,
title = {Exact solutions of the problem of free-boundary unsteady flows},
author = {E. A. Karabut},
journal= {arXiv preprint arXiv:1210.2197},
year = {2015}
}