Simple boundary conditions, pressure losses, and channel geometries necessary for the unstable, rigid-body translational vibrations of the wall of a one-dimensional leakage flow channel are identified. General expressions for the flow damping and stiffness forces acting on the vibrating channel wall are derived and specific results are given for channels with wall friction, point pressure losses, sharp-edged constrictions, and diverging or converging widths. The minimum conditions necessary for dynamic and static (divergence) instability were found to be an upstream point pressure loss and a diverging channel width with a finite length throat region, respectively.
NASA STI/Recon Technical Report N
- Pub Date:
- Fluid Flow;
- Equations Of Motion;
- Mathematical Models;
- Fluid Mechanics and Heat Transfer