06AN APPLICATION OF SINGULAR INTEGRAL-EQUATION THEORY TO A LINEARIZED PROBLEM IN COUETTE FLOW,

Abstract

27This paper treats a linearized problem in Couette flow which was derived from a simple version of the Krook statistical model for intermolecular collisions. The problem was reduced to the solving of Fredholm equations which are shown to converge rapidly for all values of the Knudsen number. The methods are based on singular integral-equations and were first developed in neutron and radiative transport theory. Cercignani, in applying Case's method to the slip flow problem, has also studied singular equations dual to those of this paper. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 11, 1964
Accession Number
AD0600832

Entities

People

  • A. Léonard
  • T. W. Mullikin

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Collisions
  • Couette Flow
  • Equations
  • Flow
  • Fluid Flow
  • Integral Equations
  • Integrals
  • Knudsen Number
  • Mathematics
  • Slip Flow
  • Transport Ships

Fields of Study

  • Mathematics

Readers

  • Allergy and Immunology.
  • Calculus or Mathematical Analysis