On the Planar Translation of Two Bodies in a Uniform Flow
Abstract
The general planar translation of two bodies of revolution through an inviscid and incompressible fluid is considered. The moving trajectories and the hydrodynamic interactions are computed based on the generalized Lagrange's equations of motion, including the effects of solid constraints, external forces in th plane of motion, and uniform steam in any direction parallel to the plane of motion. In relative coordinate system moving with the stream, the kinetic energy of the fluid is expressed as a function of six added masses due to motions parallel and perpendicular to the line joining the centers of a solid pair. The exact solution of added masses and their derivatives with respect to the separation around each body is developed for added masses and their derivatives due to the centroidal motion. These results are compared with the numerical solution of added masses computed by the boundary-integral method and the generalized Taylor's added-mass formula. The integral equations, in terms of surface source distributions on both surfaces; are carefully modified for obtaining accurate numerical solutions. Numerical results are given for several practical engineering problems. Keywords: Hydrodynamic interactions; Potential flow theory; Particle trajectories; Equations of motion.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1990
- Accession Number
- ADA220143
Entities
People
- Allen T. Chwang
- Zhi Guo
Organizations
- University of Iowa