Acoustic Wave Equations for a Linear Viscous Fluid and An Ideal Fluid

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Description

The mathematical description of acoustic wave propagation within a time- and space-varying, and moving, linear viscous fluid is formulated as a system of coupled linear equations. This system is rigorously developed from fundamental principles of continuum mechanics (conservation of mass, balance of linear and angular momentum, balance of entropy) and various constitutive relations (for stress, entropy production, and entropy conduction) by linearizing all expressions with respect to the small-amplitude acoustic wavefield variables. A significant simplification arises if the fluid medium is neither viscous nor heat conducting (i.e., an ideal fluid). In this case the mathematical system can be reduced to ... continued below

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25 pages

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ALDRIDGE, DAVID F. July 1, 2002.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 11 times . More information about this report can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA
    Place of Publication: Albuquerque, New Mexico

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Description

The mathematical description of acoustic wave propagation within a time- and space-varying, and moving, linear viscous fluid is formulated as a system of coupled linear equations. This system is rigorously developed from fundamental principles of continuum mechanics (conservation of mass, balance of linear and angular momentum, balance of entropy) and various constitutive relations (for stress, entropy production, and entropy conduction) by linearizing all expressions with respect to the small-amplitude acoustic wavefield variables. A significant simplification arises if the fluid medium is neither viscous nor heat conducting (i.e., an ideal fluid). In this case the mathematical system can be reduced to a set of five, coupled, first-order partial differential equations. Coefficients in the systems depend on various mechanical and thermodynamic properties of the ambient medium that supports acoustic wave propagation. These material properties cannot all be arbitrarily specified, but must satisfy another system of nonlinear expressions characterizing the dynamic behavior of the background medium. Dramatic simplifications in both systems occur if the ambient medium is simultaneously adiabatic and stationary.

Physical Description

25 pages

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  • Other Information: PBD: 1 Jul 2002

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  • Report No.: SAND2002-2060
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/801378 | External Link
  • Office of Scientific & Technical Information Report Number: 801378
  • Archival Resource Key: ark:/67531/metadc741848

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Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • July 1, 2002

Added to The UNT Digital Library

  • Oct. 19, 2015, 7:39 p.m.

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  • April 11, 2016, 1:18 p.m.

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ALDRIDGE, DAVID F. Acoustic Wave Equations for a Linear Viscous Fluid and An Ideal Fluid, report, July 1, 2002; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc741848/: accessed December 13, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.