Motion of a Vortex in a Rotating Layer of Fluid between Rigid Concentric Spheres

Abstract

A preliminary report is concerned with the approximate description of two-dimensional vortical motion in a thin spherical layer of a gravitating, incompressible, inviscid fluid. The fluid is contained between an inner rotating rigid ball and an outer rigid concentric sphere and along with the inner spherical surface, has been rotating with constant angular velocity. The motion is supposedly due to the gravitational attraction of the rotating ball and to the sudden creation at t = 0 of concentrated vortices with axis normal to the spheres.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1973
Accession Number
AD0772504

Entities

People

  • A. S. Peters

Organizations

  • New York University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Atlantic Ocean
  • Boundaries
  • Caribbean Sea
  • Delta Functions
  • Differential Equations
  • Equations
  • Fluids
  • Integral Equations
  • Layers
  • New York
  • North Atlantic Ocean
  • Northern Hemisphere
  • Numerical Integration
  • Partial Differential Equations
  • Radial Velocity
  • Stratified Fluids
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Space Exploration and Orbital Mechanics.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).