Vibrations of the walls of a rectangular duct containing fluid flow

Investigate the vibrations of the walls of a rectangular channel through which fluid flows.

Analytical solution of linearised compressible potential flow equations for the fluid coupled with the plate vibration equations for two opposing walls of the channel.

An expression for the flutter velocity of the fluid in the channel at which unstable oscillations of the channel walls first occurs is developed.

The computation of flutter velocity for a rectangular duct is of interest to a variety of industrial fields.

The analytical solution derived is original.