ON WAVES OF PERMANENT TYPE IN A ROTATING CYLINDRICAL SYSTEM.

Abstract

Nonlinear long waves in a rotating fluid supported by a cylindrical wall are studied. Periodic waves of permanent, cnoidal shape are found near certain critical angular velocities both in the case where the fluid is outside the cylinder and in that where it is inside the cylinder. To exhibit clearly how such waves depend on the rotation and surface curvature, the analysis concentrates on the case of a homogeneous incompressible fluid with a free surface. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1967
Accession Number
AD0662743

Entities

People

  • Meichang Shen

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Curvature
  • Determinants (Mathematics)
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Motion
  • Rotation
  • Shape

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.