THE EFFECTS OF ACTIVE COOLING ON THE AERODYNAMIC AND AEROTHERMODYNAMIC CHARACTERISTICS OF SLENDER BODIES OF REVOLUTION.

Abstract

A new self consistent method has been developed for calculation of boundary layer with mass injection. The system of partial differential equations is reduced to a system of ordinary differential equations by integration over different strips. The velocity and enthalpy profiles are assumed to be expressed by series of error functions. A method of calculating the initial velocity and enthalpy profiles, based on an analysis of singularity, is presented herein. The calculation of the initial profiles is reduced to the solution of a system of transcendential equations. The initial derivatives are calculated from linearlized equations near the singular points and provide a smooth start of integration of the downstream equations. The present method was applied to the cases of a sharp edged body and a blunt body. In addition to the velocity and enthalpy profiles, the pressure distribution and shock layer thickness can be calculated from generalized Newtonian expressions developed as a part of this effort. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1964
Accession Number
AD0615471

Entities

People

  • B. M. Leadon
  • Jan. Rosciszewski
  • W. H. Gallaher
  • W. R. Holst
  • W. V. Carter

Organizations

  • General Dynamics

Tags

DTIC Thesaurus Topics

  • Blunt Bodies
  • Bodies
  • Bodies Of Revolution
  • Boundary Layer
  • Differential Equations
  • Enthalpy
  • Equations
  • Geometric Forms
  • Geometry
  • Layers
  • Partial Differential Equations
  • Pressure Distribution
  • Slender Bodies

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.