BOUNDARY LAYER EQUATIONS AND BOUNDARY CONDITIONS FOR THEM IN THE CASE OF MOTION IN A SLIGHTLY RAREFIED GAS WITH SUPERSONIC SPEEDS,

Abstract

By using Prandtl's boundary-layer theory, equations are derived for a moderately rarefied gas which differ from the ordinary Prandtl equations by the presence of supplementary terms that contain higher derivatives of velocity and temperature; in the equations derived, the normal pressure gradient differs from zero and is expressed by supplementary terms. The boundary conditions for these equations are found with the aid of kinetic theory; they are a generalization of Maxwell's and Smoluchowski's conditions for motion at a supersonic velocity. The velocity and height limits of applicability of the equations derived are set forth. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 16, 1964
Accession Number
AD0605875

Entities

People

  • Yu. P. Lun'kin

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Equations
  • Gases
  • Kinetic Theory
  • Layers
  • Pressure Gradients
  • Rarefied Gases
  • Temperature Gradients

Fields of Study

  • Mathematics

Readers

  • Aerodynamics/Aeronautics.
  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.

Technology Areas

  • Hypersonics
  • Hypersonics - Hypersonic Boundary Layers
  • Hypersonics - Hypersonic Flight