LINEARIZED FLOW IN ROTATING SYSTEMS.

Abstract

The linearized equations governing incompressible, viscous flow which deviates slightly from rapid uniform rotation are treated in a boundary layer approximation. For a number of problems in which the flow is confined to the region between horizontal plates, representations of the solutions, valid everywhere but in vanishingly small 'corners', are given. Cases where a rigid side wall moves at a velocity which differs from one or both of the plate velocities are treated by means of an integral transform which has many features in common with a Fourier sine-transform. A hueristic derivation of the inversion theorem is given. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0642578

Entities

People

  • Frederic E. Bisshopp

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Equations
  • Flow
  • Fluid Flow
  • Integral Transforms
  • Integrals
  • Inversion
  • Layers
  • Mathematics
  • Rotation
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Structural Dynamics.