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Is Brenner's Modification to the Classical Navier--Stokes Equations Able to Describe Sound Propagation in Gases? |
W. Marques Jr. |
Departamento de Fisica, Universidade Federal do Parana Caixa Postal 19044, 81531-990 Curitiba, Brazil |
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Cite this article: |
W. Marques Jr. 2008 Chin. Phys. Lett. 25 1355-1358 |
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Abstract We analyse the problem concerning the propagation of sound waves in gases by using the modified hydrodynamic theory proposed recently by Brenner for single-component fluids. The modifications introduced by Brenner are based on his proposal that the translational momentum in fluid motion is not given by the mass flux. Comparison of the sound propagation results derived from Brenner's theory with available experimental data for monatomic gases shows that this modified continuum theory is unable to describe the acoustic measurements not even in the low-frequency limit, a result that from our point of view makes Brenner's proposal questionable.
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Keywords:
47.35.Rs
47.10.Ad
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Received: 12 October 2007
Published: 31 March 2008
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[1] Brenner H 2004 Phys. Rev. E 70 061201 [2] Brenner H 2005 Physica A 349 11 [3] Brenner H 2005 Physica A 349 60 [4] Brenner H and Bielenberg J R 2005 Physica A 355251 [5] Bielenberg J R and Brenner H 2005 Physica A 356 279 [6] Bardow A and \"Ottinger H C 2007 Physica A 37388 [7] Berne B J and Pecora R 1976 Dynamic Light Scattering(New York: Wiley) [8] Greenspan M 1956 J. Acoust. Soc. Am. 28 644 [9] de Groot S R and Mazur P 1984 Non-EquilibriumThermodynamics (London: Dover) [10] \"Ottinger H C 2005 Beyond EquilibriumThermodynamics (Hoboken: Wiley) [11] Cattaneo C 1949 Atti Sem. Mat. Fis. Univ. Modena 3 83-101. [12] M\"uller I and Ruggeri T 1998 Rational ExtendedThermodynamics (New York: Springer) |
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