TURBULENCE MEASUREMENTS RELEVANT TO JET NOISE

Abstract

Liththill's equation for aerodynamic noise was reformulated in terms of its spectral characteristics using the one-dimensional fourier cosine transform. The final formalism is more revealing in that both the Doppler effect of moving eddies and the extent to which retarded time differences can be neglected are explicit in the final equation. Also the convection effect can be distinguished as a combined effect of Doppler shift and amplification. Experimentally, two-point space-time correlation of both the turbulent velocities and the square of these velocities were measured in the mixing region of a 4 inch model jet (about 142 fps) with constant temperature hot-wire anemometers. These measurements included the ordinary u-component and also the components at 45 deg. and 60 deg. to the jet axis. Results for the u-component agree well with those of previous investigators. Using the moving axis transformation of these space-time correlation functions to-gether with the mean velocity measurements, an estimate of the basic directivity, the intensity, and the spectrum of both the 'shear' and the 'self' noise generated by a unit volume of jet turbulence was obtained.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0645322

Entities

People

  • Wing T. Chu

Organizations

  • University of Toronto

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Acoustic Measurement
  • Acoustics
  • Aerodynamic Noise
  • Air Force
  • Anemometers
  • Boundary Layer
  • Convection
  • Doppler Effect
  • Equations
  • Frequency
  • Hot Wire
  • Hot Wire Anemometers
  • Measurement
  • Mechanics
  • Noise
  • Ship Model Basins
  • Spectra

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster