NDLI: Velocity of sound in a multicomponent medium at rest

Content Provider	Springer Nature Link
Author	Bautin, S. P.
Copyright Year	2008
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.
Starting Page	375
Ending Page	382
Page Count	8
File Format	PDF
ISSN	00218944
Journal	Journal of Applied Mechanics and Technical Physics
Volume Number	49
Issue Number	3
e-ISSN	15738620
Language	English
Publisher	Springer US
Publisher Date	2008-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	multicomponent medium sound characteristic velocity of sound Mechanics Fluids Mechanics, Fluids, Thermodynamics Applications of Mathematics Mathematical Modeling and Industrial Mathematics Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Mechanical Engineering

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