Acoustical wave propagation in cylindrical ducts: Transmission line parameter approximations for isothermal and nonisothermal boundary conditions

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Abstract

Approximate expressions are given for the characteristic impedance and propagation wavenumber for linear acoustic transmission through a gas enclosed in a rigid cylindrical duct. These expressions are most complicated in the transition zone where the thermoviscous boundary layers are on the order of the tube radius. The approximations are accurate to within 1% for all frequencies and tube diameters except within the transition zone where the approximations are accurate to within 10%. A simple modification of the transmission line parameters is presented for the case where the tube walls are nonisothermal.

Original languageEnglish (US)
Pages (from-to)58-62
Number of pages5
JournalJournal of the Acoustical Society of America
Volume75
Issue number1
DOIs
StatePublished - Jan 1984

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ducts
transmission lines
wave propagation
boundary conditions
tubes
approximation
boundary layers
impedance
radii
propagation
acoustics
gases
Boundary Conditions
Waves
Approximation
Gas
Acoustics
Layer

ASJC Scopus subject areas

  • Arts and Humanities (miscellaneous)
  • Acoustics and Ultrasonics

Cite this

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abstract = "Approximate expressions are given for the characteristic impedance and propagation wavenumber for linear acoustic transmission through a gas enclosed in a rigid cylindrical duct. These expressions are most complicated in the transition zone where the thermoviscous boundary layers are on the order of the tube radius. The approximations are accurate to within 1{\%} for all frequencies and tube diameters except within the transition zone where the approximations are accurate to within 10{\%}. A simple modification of the transmission line parameters is presented for the case where the tube walls are nonisothermal.",
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