A STUDY OF PHYSICS OF PERTURBATION OF SUBSONIC CIRCULAR JETS

Abstract

Small departures from steady flow of a subsonic circular jet in an incompressible inviscid fluid are described in terms of a series of wave mode functions. the potential of a typical component mode (representing the velocity potential in cylindrical coordinates along the jet axis) is expressed in terms of a modified Bessel function and Hs, a unit amplitude periodic function of 0. On the jet surface, Hs represents a (1) series of longitudinal ridges modulated sinusoidally along it and moving downstream and/or (2) spiral ridges. The instability of columnar flow is described by the growth in amplitude along the jet. The stabilizing influence of viscous forces in real jets results in disintegration into terminal turbulence at a much slower rate than that indicated by idealized theory. Experimental data are necessary to obtain a more definitive rationalization of this phenomenon in real jets. Theoretical and experimental wave-transmission techniques are shown to be applicable.

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Document Details

Document Type
Technical Report
Publication Date
May 29, 1953
Accession Number
AD0013229

Entities

People

  • R. L. Wegel

Organizations

  • Columbia University

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Counter IED

DTIC Thesaurus Topics

  • Amplitude
  • Bessel Functions
  • Boundaries
  • Boundary Layer
  • Equations
  • Flow
  • Frequency
  • Instability
  • Periodic Functions
  • Perturbations
  • Phase Velocity
  • Physics
  • Standing Waves
  • Steady Flow
  • Steady State
  • Wave Propagation
  • Waveforms

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Internal Combustion Engine (ICE) Technology.