Some Approximate Methods for the Study of Nonlinear Oscillations of a Liquid in Vessels of Complex Geometrical Form,
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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The problem of nonlinear oscillations of a liquid in a moving vessel of complicated geometric form is considered. An approximate method for the solution of the nonlinear boundary value problems is suggested which is based on representing the perturbed free surface in a form that essentially takes advantage of the geometric characteristics of the cavity. The nonlinear boundary-value problem is reduced to solving weighted linear eigenvalue problems with boundary conditions involving a parameter. Approximate methods for solving these eigenvalue problems are proposed.
- Fluid Mechanics