DECAY OF A DISCONTINUITY LINE IN A VISCOUS FLUID

Abstract

Integral transforms are used to solve singular initial value problems for Stokes' slow-motion equations. The method is applied to investigate the decaying process of straight and circular discontinuity lines as well as the dissipation of local disturbances in an infinite medium. A criterion for the occurrence of secondary vortices is derived. Numerical results are displayed for periodic initial disturbances which demonstrate graphically the spreading of the disturbance from a discontinuity line into the fluid under successive development and decay of secondary vortices. A more detailed sequence of dissipating vortices is evaluated numerically and displayed by streamline patterns in connection with Lamb's vortical eigenmotions in an infinitely long cylinder of finite radius.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1966
Accession Number
AD0634163

Entities

People

  • Hans J. Lugt

Organizations

  • Naval Surface Warfare Center Dahlgren Division

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • California
  • Computational Science
  • Differential Equations
  • Discontinuities
  • Equations
  • Equations Of Motion
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Integral Transforms
  • Integrals
  • Mathematics
  • Military Research
  • Navier Stokes Equations
  • Physics Laboratories
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Fluid Dynamics.
  • Fluid Mechanics and Fluid Dynamics.