University of Illinois Urbana-Champaign

Re-examination of boundary layer attenuation and acoustic streaming accompanying plane wave propagation in circular tube

Qi, Quan; Johnson, Robert E.; Harris, John G.

Permalink

https://hdl.handle.net/2142/112413

Description

Title
Re-examination of boundary layer attenuation and acoustic streaming accompanying plane wave propagation in circular tube
Author(s)
  • Qi, Quan
  • Johnson, Robert E.
  • Harris, John G.
Issue Date
1993-09
Keyword(s)
  • Boundary Layer Attenuation
  • Acoustic Streaming
  • Plane Wave Propagation
  • Circular Tube
Abstract
The viscous and thermal boundary layer attenuation, and the acoustic streaming that accompanies the lowest acoustic mode propagating down a long, wide circular tube are calculated asymptotically. By fully including the effects of compressibility and heat conduction corrections are made to earlier work. The leading order acoustic wave solution is analyzed using matched asymptotic expansions. The matching gives the dispersion relation and from this model propagation equations are proposed. These results agree with earlier ones derived quite differently. The acoustic streaming driven by the Reynolds stress in the boundary layer is next analyzed. The streaming velocities are calculated and the corrections, caused by including the effects of compressibility and heat conduction, to earlier expressions are expressed in terms of the Prandtl number and the specific heat ratio. Further, a second order time-independent temperature field caused by the passage of the wave is found.
Publisher
Department of Theoretical and Applied Mechanics. College of Engineering. University of Illinois at Urbana-Champaign
Series/Report Name or Number
  • TAM R 724
  • 1993-6022
ISSN
0073-5264
Type of Resource
text
Language
eng
Permalink
http://hdl.handle.net/2142/112413
Sponsor(s)/Grant Number(s)
Acoustical Society of America 93/09
Copyright and License Information
Copyright 1993 Board of Trustees of the University of Illinois

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Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.