ACCELERATION OF A HYPERSONIC BOUNDARY LAYER APPROACHING A CORNER.

Abstract

An asymptotic description of the acceleration of a laminar hypersonic boundary layer approaching a sharp corner is obtained. The description assumes small interaction with the outer inviscid flow. Viscous forces are neglected except in a thin sublayer. The initial part of the expansion takes place over a distance O(M sub e differential), where M sub e is the external Mach number, and differential is the boundary-layer thickness. Here the transverse pressure gradient is small, and a solution can be obtained analytically. Within a distance O(differential) from the corner, the effect of streamline curvature is essential, and a numerical solution is obtained by the method of integral relations for a single strip. The solution for surface pressure is compared with experimental results for a particular case,and an approximate velocity profile at the corner is calculated. Possibilities for improving the accuracy of the calculation, both by refining the numerical procedure and by including higher order effects, are considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1968
Accession Number
AD0670189

Entities

People

  • Arthur F. Messiter
  • George R. Olsson

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Layer
  • Curvature
  • Flow
  • Geometric Forms
  • Geometry
  • Integrals
  • Inviscid Flow
  • Layers
  • Lepidoptera
  • Lines (Geometry)
  • Mach Number
  • Mathematics
  • Motion
  • Physical Properties
  • Pressure Gradients

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flow