APPROXIMATE METHODS FOR TIME-DEPENDENT GAS FILM LUBRICATION PROBLEMS

Abstract

The pressure in a thin film of gas undergoing laminar, isothermal flow is given by the socalled Reynolds equation, a nonlinear second order partial differential equation of parabolic type. The Reynolds equation plays a central role in the theory of gas film lubrication. A study was made of numerical procedures based upon finite differences for obtaining approximate solutions. A number of explicit, semi-explicit, and implicit difference schemes are examined from the point of view of truncation error, stability, and computational efficiency. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1962
Accession Number
AD0278105

Entities

People

  • W.a. Michael

Organizations

  • International Business Machines Corporation (Armonk, NY)

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Efficiency
  • Equations
  • Films
  • Lubrication
  • Mathematics
  • Partial Differential Equations
  • Thin Films
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Statistical inference.
  • Tribology (the study of the boundary interaction between sliding surfaces, lubrication, wear and friction).