THE VISCOUS HYPERSONIC SLENDER-BODY PROBLEM: A NUMERICAL APPROACH BASED ON A SYSTEM OF COMPOSITE EQUATIONS,

Abstract

A system of equations of the parabolic type is reduced from the Navier-Stokes equations for the entire field of steady hypersonic flows of a caloric perfect gas, applicable to flow over a slender body. Using finite difference techniques, this system can be integrated for the entire field as an initial-value problem in longitudinal distance. Two difference procedures are developed for the plane and axisymmetric cases. As a model problem, the solution procedures are applied to the flow field over a flat plate upstream of the classical strong-interaction regime, and the results are discussed. The study provides a basis for assessing the various continuum models of hypersonic flows for the strong-interaction and other regimes corresponding to higher degrees of rarefaction, and for identifying their domains of applicability. The report contributes to the study of critical technical areas in the design and development of hypersonic lifting vehicles. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0709182

Entities

People

  • C. R. Huber
  • H. K. Cheng
  • R. Mobley
  • S. Y. Chen

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric
  • Bodies
  • Composite Materials
  • Equations
  • Flow
  • Flow Fields
  • Hypersonic Flow
  • Lifting Reentry Vehicles
  • Navier Stokes Equations
  • Rarefaction
  • Slender Bodies
  • Vehicles

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.
  • Systems Analysis and Design

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Flight