Fluid Oscillations in an Open, Flexible Container

摘要

The paper studies normal oscillation modes of an incompressible fluid in an open container, part of the wall of which may be flexible. The flexible part of the container wall is modelled by a membrane. It first investigates the eigenfrequencies of an inviscid fluid in a flexible container. It shows, by analytical means, that the eigenfrequencies of an inviscid fluid decrease when part of the rigid container wall is replaced by a membrane. The problem of viscous fluid oscillations in a flexible container is then studied numerically using the finite-element technique. Two different types of eigenmodes are observed: free-surface oscillation modes and structural vibration modes. The dependence of the two modes on the Bond number (measure of the ratio of gravitational and tension forces) and the Reynolds number is investigated.(Copyright (c) 1989 by Faculty of Technical Mathematics and Informatics, Delft, The Netherlands.)