HIGH SPEED LOW DENSITY FLOW NEAR THE STAGNATION POINT OF A BLUNT BODY

Abstract

The boundary layer thickness around a blunt-nosed body increases as the Reynolds number de creases. When this thickness reaches a magnitude of the order of the inviscid shock detach ment distance, the heat fluxes and the components of stresses after the shock begin to play important roles in the flow field behind the shock. These effects necessitate the modification of the usual Rankine-Hugoniot shock conditions in the study of the energy transfer be tween the fluid and the body surface. In the present analysis the leading order shock conditions are obtained from the systematic order of magnitude analysis. A complete matching scheme for the components of heat flux and stresses be tween the shock and the boundary layer is proposed for the study of the flow field as well as the surface heat transfer to the body. No postulation, except the axial symmetry, has been made concerning the shape of the shock. The shape of the matching surface can be obtained uniquely from the present analysis. A method of solution has been introduced so that the laborious job of numerical integration of the flow equations with complicated boundary conditions can be bypassed. The governing equations are transformed and reduced to algebraic forms with the knowledge of the usual similarity solutions of the boundary layer equations.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0412486

Entities

People

  • Reuben Ru-ren Chow

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Coordinate Systems
  • Differential Equations
  • Equations Of Motion
  • Flow Fields
  • Fluid Flow
  • Geometry
  • Heat Transfer
  • Low Density
  • Mach Number
  • Navier Stokes Equations
  • Stagnation Point
  • Turbulent Mixing
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Combustion Dynamics and Shock Wave Physics.
  • Fluid Dynamics.
  • Theoretical Analysis.