Viscous Flow Along a Corner. Part III. Effects of Axial Pressure Gradient,

Abstract

The laminar, incompressible flow along a corner formed by the intersection of two thin airfoils is considered. The effects of small axial pressure gradients on the flow in the vicinity of the corner are determined as a perturbation to the flow along a corner formed by intersecting flat plates. The method of matched asymptotic expansions is used to determine the cross-flow induced second-order boundary-layer flow away from the corner, and these results serve as the asymptotic boundary conditions for the corner-layer analysis. The effects of both favorable and adverse pressure gradients on the cross flow are discussed. The corner-layer equations are solved numerically with a relaxation procedure. The results for the corners formed by intersecting thin wedges and intersecting Joukowski airfoils indicate that there are substantial interference effects even for very thin airfoil shapes, i.e., small axial pressure gradients. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1971
Accession Number
AD0726546

Entities

People

  • Bernard Grossman
  • Stanley G. Rubin

Organizations

  • New York University Tandon School of Engineering

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Boundary Layer Flow
  • Cross Flow
  • Flow
  • Incompressible Flow
  • Layers
  • Pressure Gradients
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Structural Dynamics.