FLOW BETWEEN CONCENTRIC ROTATION CYLINDERS A NOTE ON THE NARROW GAP APPROXIMATION

Abstract

Derivations of conditions under which steady flow between concentric rotating cylinders becomes unstable to perturbations of infinitesimal amplitude are often carried out within the framework of the narrow gap approximation in which the separation of the two cylinders is presumed to be much smaller than either radius. A narrow gap limit in which the ratio of the separation to a characteristic radius approaches zero is not uniquely defined, but rather the form of the resulting governing equations depends upon the manner in which the passage to the limit is made. A systematic survey of narrow gap limits may therefore be useful.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1963
Accession Number
AD0404045

Entities

People

  • F. E. Bisshopp

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Amplitude
  • Applied Mathematics
  • Boundaries
  • Continuity
  • Equations
  • Flow
  • Mathematics
  • Military Research
  • Navier Stokes Equations
  • Perturbations
  • Reynolds Number
  • Shear Flow
  • Steady Flow

Readers

  • Fluid Dynamics.
  • Theoretical Analysis.