On Hole-Pressures in Plane Poiseuille Flow over Transverse Slots.

Abstract

The derivation of the stress-integral form of the Higashitani-Pritchard-Baird-Lodge relation cannot be applied to plane Poiseuille flow. It ignores the contribution of the streamwise pressure gradient, and doing so can lead to contradictions. Furthermore, the variable change which leads to the stress-integral form of the HPBL relation is not valid in a second-order fluid approximation for slow flows. Correcting these deficiencies leads to a modified relation which appears intractable. Nevertheless, the Tanner-Pipkin result that P sub e = N sub 1/4 in a second order fluid is valid when properly interpreted. Keywords: Creeping flow; Viscometric flow; Johnson-Segalman fluid.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1986
Accession Number
ADA172586

Entities

People

  • D. S. Malkus
  • Minwu Yao

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Channel Flow
  • Engineering
  • Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Hydrostatic Pressure
  • Integrals
  • Mathematics
  • Mechanics
  • Poiseuille Flow
  • Pressure Gradients
  • Transverse
  • United States
  • Wisconsin

Readers

  • Fluid Dynamics.