BOUNDARY LAYERS DUE TO THE COMBINED EFFECTS OF ROTATION AND TRANSLATION.

Abstract

Exact solutions of the Navier-Stokes equations are given for certain flows in which an infinite plane and the adjacent fluid have relative rotation and translation. Equations for the boundary layer profiles are given in a general form that includes the possibility of time-dependent solutions. Numerical results are restricted to two cases of steady flow, in which either the fluid is translating and the plate is rotating, or the plate is in pure translation adjacent to a rotating fluid. An analytical solution is presented for the case of a small difference between the angular velocities of the plate and the fluid, with a constant separation of the two axes of rotation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0803527

Entities

People

  • Nicholas Rott
  • William S. Lewellen

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Equations
  • Flow
  • Layers
  • Navier Stokes Equations
  • Rotation
  • Steady Flow
  • Translations

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.