Velocity of sound in a multicomponent medium at rest |
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Authors: | S P Bautin |
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Institution: | (1) Ural State University of Transportation, Ekaterinburg, 620034 |
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Abstract: | The Kuropatenko model is considered, as applied to a multicomponent medium where the number of the sought functions coincides
with the number of equations. The velocities of sound in a multicomponent medium at rest are determined. A formula of a polynomial
of power N whose positive roots are squared velocities of sound in a medium with N components is derived. For N = 2, the values
of two velocities of sound are determined in explicit form. It is demonstrated that the thus-found maximum value of the velocity
of sound in a two-component medium containing nitrogen and oxygen with volume concentrations corresponding to air differs
(in dimensionless form) from the velocity of sound in air by less than 0.3%. Numerical calculations predict the existence
of three velocities of sound in a three-component medium. If the velocity of sound in all N components is identical, it is
proved that the maximum velocity of sound in such a medium equals this velocity, and there is only one more velocity of sound
in the medium, which has a lower value.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 3, pp. 35–44, May–June, 2008. |
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Keywords: | multicomponent medium sound characteristic velocity of sound |
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