FLUID MOTION IN A SHALLOW TRAPEZOIDAL CONTAINER.
Abstract
The few lowest free sloshing modes in shallow containers with arbitrary trapezoidal cross sections are investigated for the plane and the axially symmetric cases. The frequencies and a dimensionless quantity which relates the frequencies to more elementary geometrical quantities, namely to the volume and to the rim dimensions, are computed and used to determine lower bounds for the eigenvalues of general convex containers. In the axially symmetric case, the optimum shape of this isoperimetric problem is either a cylinder (for motion with one nodal diameter) or a cone. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1966
- Accession Number
- AD0801620
Entities
People
- B. A. Troesch
Organizations
- The Aerospace Corporation