AXISYMMETRIC VISCOUS INTERACTION WITH SMALL SURFACE SLIP AND TRANSVERSE CURVATURE EFFECTS FOR PR = 0.723 AND FOR HELIUM,

Abstract

The flow about an unyawed cone is considered for the hypersonic moderately low density regime. The shock wave boundary layer interaction is considered in the context of the hypersonic strong interaction approximation. Small transverse curvature and small surface slip effects are considered as perturbations on the basic strong interaction solution. Solutions of the governing two-point boundary value problem are obtained by reduction to a system of ordinary differential equations using double asymptotic expansions in a slip parameter and a hypersonic transverse curvature parameter which is proportional to M sq. times the Probstein and Elliott transverse curvature parameter. Previous solution for Pr=1.0, gamma=1.405 are extended to the cases of Pr=0.723, gamma=1.405 and Pr=1.0, gamma=1.67. The specific effects of non-unit Prandtl number and increased ratio of specific heats (zeroth-order pressure gradient) on the zeroth-order, first-order slip and first-order transverse curvature induced surface pressure, boundary layer displacement thickness, skin-friction and wall heat transfer rate are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0667465

Entities

People

  • David F. Rogers

Tags

DTIC Thesaurus Topics

  • Asymptotic Series
  • Boundaries
  • Boundary Layer
  • Boundary Value Problems
  • Curvature
  • Differential Equations
  • Equations
  • Heat Transfer
  • Low Density
  • Prandtl Number
  • Pressure Gradients
  • Shock Waves
  • Skin Friction
  • Specific Heat
  • Transverse

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers