Archives of Acoustics, 49, 4, pp. 625–632, 2024
10.24425/aoa.2024.148804

Excitation of the Secondary Modes by the Broad Spectrum Sound in a Liquid with Relaxation Losses

Anna PERELOMOVA
Technical University of Gdansk
Poland

Features of nonlinear phenomena and, in particular, acoustic excitation of the entropy and relaxation modes in a liquid electrolyte with a chemical reaction are examined. The total range of frequencies of an exciter is considered, and the instantaneous dynamic equations are derived which govern perturbations in the secondary modes. The instantaneous leading-order acoustic forces of the secondary modes are evaluated. Examples of harmonic and nearly harmonic acoustic exciter are considered in detail. The difference in the nonlinear acoustic phenomena in an electrolyte and gases with relaxation mechanisms are specified and discussed.
Keywords: relaxation; dispersive media; acoustic heating
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Copyright © 2024 The Author(s). This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

References

Duck F.A., Baker A.C., Starritt H.C. (1998), Ultrasound in Medicine, Institute of Physics Publishing, Bristol, Philadeplhia.

Eigen M., Tamm K. (1962), Sound absorption in electrolyte solutions as a sequence of chemical reactions, Zeitschrift fuer Elektrochemie, 66(2): 93–121.

Eigen M., De Mayer L. (1963), Relaxation methods, [in:] Techniques of Organic Chemistry, Freiss S.L., Lewis E.S., Weissberger A. [Eds.] Interscience Publishers, New York.

Hamilton M., Il’inskii Yu., Zabolotskaya E. (1998), Dispersion, [in:] Nonlinear Acoustics, Hamilton M., Blackstock D. [Eds.], Academic Press.

Hertzfeld K.F., Litowitz T.A. (1959), Absorption and Dispersion of Ultrasonic Waves, Academic Press, New York.

Leble S., Perelomova A. (2018), The Dynamical Projectors Method: Hydro and Electrodynamics, CRC Press.

Liebermann L.N. (1948), The origin of sound absorption in water and in sea water, The Journal of the Acoustical Society of America, 20(6): 868–873, doi: 10.1121/1.1906450.

Liebermann L.N. (1949), Sound propagation in chemically active media, Physical Review, 76(10): 1520, doi: 10.1103/PhysRev.76.1520.

Makarov S., Ochmann M. (1996), Nonlinear and thermoviscous phenomena in acoustics, Part I, Acustica, 82(4): 579–606.

Mandelshtam L.I., Leontowich M.A. (1937), To the theory of sound absorption in liquids, Zhurnal Éksperimental’no

˘ı i Teoretichesko˘ı Fiziki, 7(3): 438.

Mellen R.H., Simmons V.P., Browning D.G. (1979), Sound absorption in sea water: A third chemical relaxation, The Journal of the Acoustical Society of America, 65(4): 923–925, doi: 10.1121/1.382595.

Molevich N.E. (2001), Amplification of vortex and temperature waves in the process of induced scattering of sound in thermodynamically nonequilibrium media, High Temperature, 39(6): 884–888, doi: 10.1023/A:1013147207446.

Nachman A., Smith J.F., Waag R.C. (1990), An equation for acoustic propagation in inhomogeneous media with relaxation losses, The Journal of the Acoustical Society of America, 88(3): 1584–1595, doi: 10.1121/1.400317.

Nyborg W.L. (1978), Physical Mechanisms for Biological Effects of Ultrasound, The Bureau of Radiological Health, Rockville.

Osipov A.I., Uvarov A.V. (1992), Kinetic and gasdynamic processes in nonequilibrium molecular physics, Soviet Physics Uspekhi, 35(11): 903, doi: 10.1070/PU1992v035n11ABEH002275.

Parker K.J. (1983), Ultrasonic attenuation and absorption in liver tissue, Ultrasound in Medicine & Biology, 9(4): 363–369, doi: 10.1016/0301-5629(83)90089-3.

Perelomova A. (2010), Nonlinear generation of non-acoustic modes by low-frequency sound in a vibrationally relaxing gas, Canadian Journal of Physics, 88(4): 293–300, doi: 10.1139/P10-011.

Perelomova A. (2013), Hysteresis curves and loops for harmonic and impulse perturbations in some non-equilibrium gases, Central European Journal of Physics, 11(11): 1541–1547, doi: 10.2478/s11534-013-0305-2.

Perelomova A. (2015), The nonlinear effects of sound in a liquid with relaxation losses, Canadian Journal of Physics, 93(11): 1391–1396, doi: 10.1139/cjp-2014-0676.

Perelomova A. (2019), Excitation of non-wave modes by sound of arbitrary frequency in a chemically reacting gas, Acta Acustica united with Acustica, 105(6): 918–927, doi: 10.3813/AAA.919373.

Perelomova A., Pelc-Garska W. (2010), Efficiency of acoustic heating produced in the thermoviscous flow of a fluid with relaxation, Central European Journal of Physics, 8(6): 855–863, doi: 10.2478/s11534-010-1015-y.

Pierce A.D. (1981), Acoustics: An Introduction to its Physical Principles and Applications, McGraw-Hill, New York.

Pierce A.D., Mast T.D. (2021), Acoustic propagation in a medium with spatially distributed relaxation processes and a possible explanation of a frequency power law attenuation, Journal of Theoretical and Computational Acoustics, 29(2): 2150012, doi: 10.1142/S2591728521500122.

Rudenko O.V., Soluyan S.I. (1977), Theoretical Foundations of Nonlinear Acoustics, Plenum, New York.

Yeager E., Fisher F.H. (1973), Origin of the low-frequency sound absorption in sea water, The Journal of the Acoustical Society of America, 53(6): 1705–1707, doi: 10.1121/1.1913523.




DOI: 10.24425/aoa.2024.148804