Remarks on the Flow between Two Parallel Rotating Plates.

Abstract

The flow of the classical linearly viscous fluid between two infinite parallel planes rotating with constant (but different) angular velocities about a common axis has received a great deal of attention during the past 60 years. However, until recently the emphasis has been on solutions which are axi-symmetric. Recently, Berker in his study of the flow between parallel planes, rotating with the same constant angular velocities about a common axis exhibited a one parameter family of solutions only one of which is axi-symmetric. In this study, the authors exhibit the existence of a one parameter family of solutions (for large viscosities) when the planes are rotating with constant but different angular velocities about a common axis or about non-coincident axes.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1984
Accession Number
ADA141582

Entities

People

  • K. R. Rajagopal
  • S. V. Parter

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Coefficients
  • Differential Equations
  • Eddies (Fluid Mechanics)
  • Equations
  • Flow
  • Materials
  • Mathematics
  • Navier Stokes Equations
  • Numbers
  • Partial Differential Equations
  • Real Numbers
  • Rotation
  • Steady State
  • Stratified Fluids
  • United States
  • Viscosity

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Fluid Dynamics.