Generation of the vorticity mode by sound in a vibrationally relaxing gas

• Authors: Anna Perelomova , Pawel Wojda
• Languages of publication: EN

Abstracts

EN

The procedure of derivation of a new dynamical equation governing the vorticity mode that is generated by sound, is discussed in detail. It includes instantaneous quantities and does not require averaging over sound period. The resulting equation applies to both periodic and aperiodic sound as the origin of the vorticity mode. Under certain conditions, the direction of streamlines of the vorticity mode may be inverted as compared with that in a fluid with standard attenuation. This reflects an anomalous absorption of sound, when transfer of momentum of the vorticity mode into momentum of sound occurs. The theory is illustrated by a representative example of the generation of vorticity in a vibrationally relaxing gas in the field of periodic weakly diffracting acoustic beam.

Keywords

EN

non-equilibrium gas; relaxation; nonlinear acoustics

• Journal: Open Physics
• Year: 2012
• Volume: 10
• Issue: 5
• Pages: 1116-1124

Dates

published

1 - 10 - 2012

online

21 - 11 - 2012

Contributors

author

Anna Perelomova

• Gdansk University of Technology, Faculty of Applied Physics and Mathematics, ul. Narutowicza 11/12, 80-233, Gdansk, Poland

author

Pawel Wojda

• Gdansk University of Technology, Faculty of Applied Physics and Mathematics, ul. Narutowicza 11/12, 80-233, Gdansk, Poland

References

• [1] W.L. Nyborg, In: W.P. Manson (Ed.), Physical Acoustics, Vol. II. part B (Academic Press, New York, 1965) 265
• [2] O.V. Rudenko, S.I. Soluyan, Theoretical foundations of nonlinear acoustics (Plenum, New York, 1977)
• [3] M.J. Lighthill, J. Sound. Vib. 61, 391 (1978)
• [4] Q. Qi, J. Acoust. Soc. Am. 94, 1090 (1993)
• [5] A. Perelomova, Acta Acust. 89, 754 (2003)
• [6] A. Perelomova, Phys. Lett. A 357, 42 (2006)
• [7] A. Perelomova, P. Wojda, Cent. Eur. J. Phys. 9, 1135 (2011)
• [8] A.A. Collyer, Phys. Educ. 9, 38 (1974)
• [9] B.T. Chu, Weak nonlinear waves in nonequilibrium flows, In: P.P. Wegener (Ed.), Nonequilibrium flows, Vol. 1 (Marcel Dekker, New York, 1970)
• [10] D.F. Parker, Phys. Fluids 15, 256 (1972)
• [11] J.F. Clarke, A. McChesney, Dynamics of relaxing gases (Butterworth, London, 1976)
• [12] N.E. Molevich, Acoust. Phys. 48, 209 (2002)
• [13] Ya.B. Zeldovich, Yu.P. Raizer, Physics of shock waves and high-temperature hydrodynamic phenomena (Academic Press, New York, 1966)
• [14] A.I. Osipov, A.V. Uvarov, Sov. Phys. Usp. 35, 903 (1992)
• [15] N.E. Molevich, Acoust. Phys.+ 49, 229 (2003)
• [16] A. Perelomova, Can. J. Phys. 88, 29 (2010)
• [17] A. Perelomova, Acta Acust. 96, 43 (2010)
• [18] M. Hamilton, V. Khokhlova, O.V. Rudenko, J. Acoust. Soc. Am. 101, 1298 (1997)
• [19] N.E. Molevich, Acoust. Phys.+ 47, 102 (2001)
• [20] A. Perelomova, Cent. Eur. J. Chem. 88, 293 (2010)
• [21] A.V. Koltsova, A.I. Osipov, A.V. Uvarov, Sov. Phys. Acoust.+ 40, 969 (1994)

Identifiers

DOI

10.2478/s11534-012-0098-8