Studies of Nonlinear Sound Dynamics in Fluids Based on the Caloric Equation of State

Open access

Abstract

The sound speed and parameters of nonlinearity B/A, C/A in a fluid are expressed in terms of coefficients in the Taylor series expansion of an excess internal energy, in powers of excess pressure and density. That allows to conclude about features of the sound propagation in fluids, the internal energy of which is known as a function of pressure and density. The sound speed and parameters of nonlinearity in the mixture consisting of boiling water and its vapor under different temperatures, are evaluated as functions of mass concentration of the vapor. The relations analogous to that in the Riemann wave in an ideal gas are obtained in a fluid obeying an arbitrary equation of state. An example concerns the van der Waals gases. An excess pressure in the reflected wave, which appears when standard or nonlinear absorption in a fluid takes place, is evaluated in an arbitrary fluid.

Arutunian G. M. (1994), Thermodynamical theory of heterogeneous systems [in Russian], Fizmatlit, Moscow.

Beyer R. T. (1960), Parameter of nonlinearity in fluids, J. Acoust. Soc. Am., 32, 6, 719-721.

Beyer R. T. (1998), The parameter B/A, [in:] Nonlinear Acoustics, Hamilton M. F., Blackstock D. T. [Eds.], pp. 25-39, Academic Press, New York.

Carstensen E. L., Bacon D. R. (1998), Biomedical applications, [in:] Nonlinear Acoustics, Hamilton M. F., Blackstock D. T. [Eds.], pp. 421-447, Academic Press, New York.

Coppens A. B., et al. (1965), Parameter of nonlinearity in fluids II, J. Acoust. Soc. Am., 38, 5, 797-804.

Denisov D. A. (2002), Calculation of the nonlinearity parameter for some types of gaseous and liquid mixtures, Acoustical Physics, 48, 4, 430-435.

Duck F. A., Baker A. C., Starrit H. C. (1998), Ultrasound in medicine, IOP Publishing Ltd, Bristol and Philadelphia.

Fox F. E., Wallace W. A. (1954), Absorption of finite amplitude sound waves, J. Acoust. Soc. Am., 26, 994-1006.

Grigoryev I. S., Meilikhov Ye.Z. [Eds.], (1991), Physical values [in Russian], Energoatomizdat, Moscow.

Jeffery C. A., Austin P. H. (1999), A new analytic equation of state for liquid water, J. Chem. Phys., 110, 1, 484-496.

Kennedy J. E., Cranston D. (2003), High intensity focused ultrasound: surgery of the future?, British Journal of Radiology, 76, 590-599.

Kuznetsov M. M. (1981), Two-phase mixture consisting of liquid water and its vapor. Equation of state, velocity of sound, isentropies, Doklady AN SSSR 257, 858-860.

Landau L. D., Lifshitz E. M. (1987), Fluid Mechanics, 2nd Ed., 6, Butterworth-Heinemann, UK, Oxford.

Lee J. F., Sears F. W., Turcotte D. L. (1963), Statistical thermodynamics, Addison-Wesley Publishing Company, London.

Leighton T. G. (2007), What is ultrasound?, Progress in Biophysics and Molecular Biology, 93, 1-3, 3-83.

Makarov S. (1994), Self-reflection in nonlinear acoustics. Theoretical ground and possible applications, Acustica, 80, 1-13.

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

Nakamura, Y., Nakashima Y. (1987), Analysis of unsteady shock wave propagation generated by interaction with simple expansion wave, Techn. Reps. Kumamoto Univ., 36, 1, 31-40.

Naugolnykh K. (2008), 50 years of nonlinear acoustics, Nonlinear Acoustics - fundamentals and applications, 18th International Symposium on Nonlinear Acoustics, Enflo B. E., Hedberg C. M., Kari L. [Eds.], pp. 3-8, AIP Conference Proceedings, Melville, New York.

Novikov B. K., Rudenko O. V., Timoshenko V. I. (1988), Nonlinear underwater acoustics, J. Acoust. Soc. Am., 84, 1, 458-459.

Perelomova A. (2005), Parameter of nonlinearity B/A of three-component systems with separate volumes of liquid, its vapor and a neutral gas, Archives of Acoustics, 30, 3, 333-343.

Perelomova A., Leble S., Kusmirek-Ochrymiuk M. (2001), Nonlinear evolution of the acoustic wave in a semi-ideal gas, Archives of Acoustics, 26, 4, 351-360.

Riemann B. (1953), The Collected Works of Bernard Riemann, pp. 156-175, Dover, New York.

Rudenko O. V., Soluyan S. I. (1977), Theoretical foundations of nonlinear acoustics, Plenum, New York.

Rudenko O. V., Soluyan S. I., Khokhlov R. V. (1970), Formation of reflected waves at discontinuities in a sound wave, Sov. Phys. Acoust., 15, 355-359.

Sehgal C. M. (1995), Nonlinear ultrasonics to determine molecular properties of pure liquids, Ultrasonics, 33, 2, 155-161.

Tables for water and its vapor: http://wipos.p.lodz.pl/baza/spis04.html

Tjøtta S., Tjøtta J. N. (1993), Acoustic streaming in ultrasonic beams, Advances in Nonlinear Acoustics, Proceedings of the 13th International Symposium on Nonlinear Acoustics, Hobaek H. [Ed.], pp. 601-606, World Scientific, Singapore.

Archives of Acoustics

The Journal of Institute of Fundamental Technological of Polish Academy of Sciences

Journal Information


IMPACT FACTOR 2016: 0.816
5-year IMPACT FACTOR: 0.835

CiteScore 2016: 1.15

SCImago Journal Rank (SJR) 2016: 0.432
Source Normalized Impact per Paper (SNIP) 2016: 0.948

Metrics

All Time Past Year Past 30 Days
Abstract Views 0 0 0
Full Text Views 123 99 6
PDF Downloads 71 66 4