THE BLOWHARD PROBLEM--INVISCID FLOWS WITH SURFACE INJECTION

Abstract

A simple model is presented for the analysis of inviscid flow fields over slender bodies accompanied by high rates of surface mass transfer. This model assumes a thin, inviscid injectant layer, which is separated from the outer flow by a contact discontinuity. Inviscid boundary-layer equations are shown to be applicable within the injectant layer, and the pressure gradient is found by matching pressure and flow direction at the dividing streamline. Using stream-function variables, an Abel integral equation is derived, and the inverse problem of determining the injection distribution from the shape of the dividing streamline is solved analytically for supersonic and hypersonic flow over flat plates and cones.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0653146

Entities

People

  • J. Aroesty
  • J. D. Cole

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundary Layer
  • Computational Fluid Dynamics
  • Computational Science
  • Equations
  • Equations Of Motion
  • Fluid Dynamics
  • Integral Equations
  • Inviscid Flow
  • Mach Number
  • Mass Transfer
  • Pressure Distribution
  • Pressure Gradients
  • Reynolds Number
  • Supersonic Flow
  • Turbulent Mixing
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers