The Froude Number for Solitary Waves.
Abstract
This paper is concerned with the problem of a solitary wave moving with constant form and constant velocity c on the surface of an incompressible, inviscid fluid over a horizontal bottom. The motion is assumed to be two-dimensional and irrotational, and if h is the depth of the fluid at infinity and g the acceleration due to gravity, then the Froude number F is defined by F squared = (c squared)/gh. The result that F > 1 has recently been proved by Amick and Toland by means of a long and complicated argument. Here we give a short and simple one. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1983
- Accession Number
- ADA134548
Entities
People
- J. B. Mcleod
Organizations
- University of Wisconsin–Madison