STABILITY OF DUST LADEN TWO-DIMENSIONAL LAMINAR WAKES.

Abstract

The stability of two-dimensional compressible dusty wakes is investigated. An equation is derived for the amplitude of the pressure disturbance. The solution of this equation is sought by perturbing the dust-free solution for small mass fraction of dust to gas. The straightforward perturbation expansion is not uniformly valid far away from the wake axis. A second-order uniformly valid solution is obtained. The results show that the dust can be stabilizing as well as destabilizing, depending on the size of the particles and their distribution. For a uniform distribution of dust and for very small particle size, the dust has a destabilizing effect. As the dust size increases, the destabilizing effect increases to a maximum, and then decreases to zero. As the particle size increases further, the dust will have a stabilizing effect. The quantitative stabilizing or destabilizing effect of the dust depends on the velocity defect and temperature excess at the wake axis. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1964
Accession Number
AD0608712

Entities

People

  • Ali Hasan Nayfeh

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Equations
  • Mathematics
  • Particle Size
  • Particles
  • Payload
  • Perturbations
  • Physical Properties
  • Pressure Distribution
  • Two Dimensional

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerosol Science/Aerosol Physics
  • Calculus or Mathematical Analysis
  • Strategic Security Studies