STEADY STATE FLOW IN THIN FILMS,

Abstract

A steady motion of a thin layer of viscous fluid bounded by the surface of rigid body from one side and by moving gas from the other side is considered. The free surface of the layer is assumed in a wave form. Navier-Stokes' equations, after introducing a stream function and linearization, are reduced to an ordinary fourth-order differential equation, which is solved. In the linear case, the velocity of propagation of longitudinal waves is independent of the wavelength. The nonlinear case is treated with the small parameter method and the solution gives the relations between the wavelength and the velocity of propagation and the amplitude. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 24, 1969
Accession Number
AD0692188

Entities

People

  • L. V. Pashinina

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Equations
  • Films
  • Mathematics
  • Steady State
  • Thin Films
  • Waveforms
  • Waves

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)