ISOTHERMAL SQUEEZE FILMS

Abstract

A derivation is presented of the equation governing the pressure in a thin, flat film of ideal gas under isothermal conditions, when the surfaces bounding the film are in relative normal and tangential motion. When tangential motion is absent, the pressure equation reduces to a nonlinear heat equation, which admits of very few closed-form solutions. Various approximation methods are discussed, and two problems involving small periodic variation of the gap between parallel plates are solved by perturbation method for a film in which fluid inertia is negligible.

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Document Details

Document Type
Technical Report
Publication Date
May 22, 1961
Accession Number
AD0261094

Entities

People

  • W. E. Langlois

Organizations

  • International Business Machines Corporation (Armonk, NY)

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Films
  • Frequency
  • Government Procurement
  • Governments
  • Journal Bearings
  • Lubricants
  • Lubricating Films
  • Lubrication
  • Navier Stokes Equations
  • Partial Differential Equations
  • Reynolds Number
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Combustion and Flow Dynamics.
  • Structural Dynamics.