ON AN ALTERNATIVE METHOD OF NUMERICALLY EVALUATING THE LINEARIZED PROBLEM OF AN IMPULSIVELY MOVING FLAT PLATE IN A RAREFIED GAS FLOW,

Abstract

In the Rayleigh problem formulated according to the BGK kinetic model, the flow field is described by a singular integral equation of the Fredholm type. The singularity appears not only as a limit of integration, but also in the kernel. Since the singularity in the kernel is of the logarithmic type, Luke's weight coefficients for evaluating an integral near a logarithmic singularity are applied to solve the integral equation numerically. The successful evaluation of the integral equation on an IBM 7094 demonstrates the generality of the method. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1967
Accession Number
AD0658458

Entities

People

  • James P. Hudson
  • Kanakanahalli S. Nagaraja

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Flow
  • Flow Fields
  • Gas Flow
  • Gases
  • Integral Equations
  • Integrals
  • Mathematics
  • Rarefied Gases

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra