Abstract
The three-dimensional nonstationary axisymmetric flow of two immiscible viscous fluids in a rotating horizontal cylinder is studied. The interface between the fluids is assumed to be flat and undeformable. The full energy condition at the interface is taken into account. The mass forces are neglected. The velocity field of the Himenz type is considered. For the solution of the nonlinear initial boundary value problem, the modified Galerkin method and the Runge-Kutta method have been applied. It is shown that, with an increase of time, the numerical solution of the nonstationary problem tends to the stationary regime.
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