Abstract
Normally in acoustics one is concerned with sound waves of small amplitude in the sense that the perturbations elicited by these waves in the equilibrium state of the medium are small. The propagation of such waves is described in terms of approximate equations derived by linearization of the hydrodynamic equations and equation of state. This, the so-called linear-acoustical approximation, proves inadequate for the case of sound waves of large intensity, which are being encountered on a growing scale in present-day engineering.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
L. D. Landau and E. M. Lifshits, Mechanics of Continuous Media, Moscow (1954).
Ya. B. Zel’dovich and Yu. P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Effects, Moscow (1965).
I. G. Mikhailov, V. A. Solov’ev, and Yu. Syrnikov, Fundamentals of Molecular Acoustics, Izd. “Nauka” (1964).
L. K. Zarembo and V. A. Krasil’nikov, Certain aspects of the propagation of finite-amplitude ultrasonic waves in liquids, Usp. Fiz. Nauk, 18 (4): 688 (1959).
M. J. Lighthill, Viscosity effects in sound waves of finite amplitude, in: Survey in Mechanics, Cambridge (1956).
L. K. Zarembo and V. A. Krasil’nikov, Introduction to Nonlinear Acoustics, Izd. “Nauka” (1966).
G. A. Ostroumov, Lectures on Nonlinear Acoustics, Izd. Leningrad. Univ. (1966).
K. A. Naugol’nykh, Absorption of sound waves of finite amplitude, Akust. Zh., 4 (2): 115 (1958).
R. T. Beyer, Physical Acoustics (W. P. Mason, ed.), Vol. 2B, Academic Press, New York—London (1965).
Z. A. Gol’dberg, Propagation of finite-amplitude plane waves, Akust. Zh., 3 (4): 322 (1957).
D. T. Blackstock, Theoretical analysis of propagation of sound waves containing shocks, J. Acoust. Soc. Am., 36 (5): 1032 (1964).
Z. A. Goldberg, Propagation of plane sound waves of finite amplitude in a viscous heat-conducting medium, Akust. Zh., 5 (1): 118 (1959).
K. A. Naugol’nykh, Propagation of spherical sound waves of finite amplitude in a viscous heat-conducting medium, Akust. Zh., 5 (1): 80 (1959).
V. V. Shklovskaya-Kcrdi, Acoustical method of determining the internal pressure in liquids, Akust. Zh., 9 (11): 107 (1963).
J. S. Mendousse, Nonlinear dissipative distortion of progressive sound waves at moderate amplitudes, J. Acoust. Soc. Am., 25 (1): 51 (1953).
S. I. Soluyan and R. V. Khokhlov, Propagation of finite-amplitude sound waves in a dissipative medium, Vest. MGU, Ser. III, Fizika i Astronomiya, 3: 52 (1961).
D. T. Blackstock, Thermoviscous attenuation of plane, periodic finite amplitude sound waves, J. Acoust. Soc. Am., 36 (3): 534 (1964).
J. D. Cole, On a quasi-linear parabolic equation occurring in aerodynamics, Quart. Appl. Math., 9 (3): 225 (1951).
B. D. Cook, New procedure for computing finite amplitude distortion, J. Acoust. Soc. Am., 34 (7): 941 (1962).
W. Keck and R. T. Beyer, Frequency spectrum of finite amplitude ultrasonic waves in liquids, Phys. Fluids, 3: 346 (1960).
D. T. Blackstock, Connection between the Fay and Fubini solutions for plane sound waves of finite amplitude, J. Acoust. Soc. Am., 39 (6): 1019 (1966).
G. C. Werth, Attenuation of repeated shock waves in tubes, J. Acoust. Soc. Am., 25: 821 (1953).
V. A. Burov and V. A. Krasil’nikov, Direct observation of the distortion of intense ultrasonic waves in a liquid, Dokl. Akad. Nauk SSSR, 118: 920 (1958).
E. V. Romanenko, Experimental Investigation of the Propagation of Finite-Ampli tude Waves in a Liquid (Candidate’s Dissertation), Akust. Inst., Moscow (1962).
I. Rudnick, On the attenuation of a repeated sawtooth shock wave, J. Acoust. Soc. Am., 25 (5): 1012 (1953).
S. D. Poisson, Mémoire sur la théorie du son [Note on the theory of sound], J. École Polit. (Paris), 7: 364 (1808).
B. Riemann, Über die Fortpflanzung der Luftwellen endlicher Schwingungsweite [Propagation of Airborne Waves of Infinite Amplitude], Göttingen. Abhandl., 8 (1860).
D. T. Blackstock, Propagation of plane sound waves of finite amplitude in nondissipative fluids, J. Acoust. Soc. Am., 34 (9) (1962).
H. Lamb, Dynamic Theory of Sound, Arnold, London (1931).
G. Fubini, Pressione di radiatione acustica i onde di grande ampierra [Acoustic radiation pressure in large-amplitude waves], Alta Frequenza, 4: 530 (1935).
L. E. Hargrove, Fourier series for the finite amplitude sound waveform in a dissipationless medium, J. Acoust. Soc. Am., 32: 511 (1960).
D. T. Blackstock, Convergence of the Keck-Beyer perturbation solution for plane waves of finite amplitude in a viscous fluid, J. Acoust. Soc. Am., 39 (2): 411 (1966).
A. L. Thuras and R. T. Jenkins, Extraneous frequencies generated in air carrying intense sound waves, J. Acoust. Soc. Am., 6: 173 (1935).
O. N. Geertseen, A Study of Finite Amplitude Distortion of a Sound Wave in Air, Univ. California Techn. Rept., I II (1951).
R. D. Fay, Plane sound waves of finite amplitude, J. Acoust. Soc. Am., 3: 222 (1931).
L. K. Zarembo, V. A. Krasil’nikov, and V. V. Shklovskaya-Kordi, Distortion of a finite-amplitude ultrasonic waveform in a liquid, Dokl. Akad. Nauk SSSR, 109 (3): 484 (1956).
I. G. Mikhailov and V. A. Shutilov, Distortion of the finite-amplitude ultrasonic waveform in various liquids, Akust. Zh., 6 (3): 340 (1960).
R. P. Rya, A. G. Lutsh, and R. T. Beyer, Measurement of the distortion of finite ultrasonic waves in liquids by a pulse method, J. Acoust. Soc. Am., 34 (1): 31 (1952).
K. L. Zankel and E. A. Hiedemann, Simple demonstration of the presence of second harmonics in progressive ultrasonic waves of finite amplitude, J. Acoust. Soc. Am., 30 (6): 582 (1958).
L. L. Myasnikov, On the “flipping” of a large-amplitude sound wave, Zh. Tekh. Fiz., 8: 1896 (1938).
R. T. Beyer and V. Narasimhau, Note on finite amplitude waves in liquids, J. Acoust. Soc. Am., 29 (4): 532 (1957).
F. E. Fox and W. A. Wallace, Absorption of finite amplitude sound waves, J. Acoust. Soc. Am., 26 (6): 994 (1954).
L. K. Zarembo, Absorption of Finite Amplitude Ultrasonic Waves in a Liquid (Candidate’s Dissertation), MGU, Moscow (1958).
L. K. Zarembo, V. A. Krasil’nikov, and V. V. Shklovskaya-Kordi, Absorption of finite-amplitude ultrasonic waves in liquids, Dokl. Akad. Nauk SSSR, 109 (4): 731 (1956).
O. M. Towlet and R. B. Lindsay, Absorption and velocity of ultrasonic waves of finite amplitude in liquids, J. Acoust. Soc. Am., 27 (3): 530 (1955).
V. A. Burov and V. A. Krasil’nikov, Absorption of ultrasonic waves of large intensity in water, Dokl. Akad. Nauk SSSR, 124 (3): 571 (1959).
K. A. Naugol’nykh and E. V. Romanenko, Propagation of finite-amplitude waves in a liquid, Akust. Zh., 4 (2): 200 (1958).
K. A. Naugol’nykh, S. I. Soluyan, and R. V. Khokhlov, Spherical waves of finite amplitude in a viscous thermally conducting medium, Akust. Zh., 9 (1): 54 (1963).
K. A. Naugol’nykh, S. I. Soluyan, and R. V. Khokhlov, Cylindrical waves of finite amplitude in a dissipative medium, Vest. MGU, Ser. III, 4: 65 (1962).
D. T. Blackstock, On plane, spherical, and cylindrical sound waves of finite amplitude in lossless fluids, Tech. Rep. AF 49 ( 638 ), General Dynamics, Rochester, New York (1965).
R. Khokhlov, K. Naugol’nykh, and S. Soluyan, Waves of moderate amplitudes in absorbing media, Acustica, 14 (5): 248 (1964).
H. S. Heaps, Waveform of finite amplitude derived from equations of hydrodynamics, J. Acoust. Soc. Am., 34: 355 (1962).
I. Rudnick, On the attenuation of high-amplitude waves of stable sawtooth form, J. Acoust. Soc. Am., 30 (4): 339 (1958).
P. J. Westervelt, Self-scattering of high-intensity sound, Proc. Third Internat. Congress Acoustics, Stuttgart (1959), ed. by L. Cremer, Amsterdam (1961).
K. A. Naugol’nykh, Propagation of Finite-Amplitude Sound Waves (Candidate’s Dissertation), Akust. Inst. (1959).
L. D. Rozenberg, Sound Focusing Systems, Izd. AN SSSR, Moscow-Leningrad (1949).
A. K. Burov, Generation of high-intensity ultrasonic oscillations for the treatment of malignant tumors in animals and humans, Dokl. Akad. Nauk SSSR, 106 (2): 239 (1956).
D. V. Khaminov, Dependence of the gain of a sound-focusing system on the intensity of ultrasound in water, Akust. Zh., 3 (3): 294 (1957).
K. A. Naugol’nykh and E. V. Romanenko, Dependence of the gain of a focusing system on the sound intensity, Akust. Zh., 5 (2): 191 (1959).
S. I. Soluyan and R. V. Khokhlov, Finite-amplitude acoustic waves in a relaxing medium, Akust. Zh., 8 (2): 220 (1962).
R. Khokhlov and S. Soluyan, Propagation of acoustic waves of moderate amplitude through dissipative and relaxing media, Acustica, 14 (5): 242 (1964).
A. L. Polyakov, S. I. Soluyan, and R. V. Khokhlov, Propagation of finite disturbances in a relaxing medium, Akust. Zh., 8 (1): 107 (1962).
A. L. Polyakova, Finite Disturbances in a Relaxing Medium, Akust. Inst., Moscow (1962).
Z. A. Gol’dberg, Interaction of plane longitudinal and transverse elastic waves, Akust. Zh., 6 (3): 307 (1960).
A. A. Gedroits, L. K. Zarembo, and V. A. Krasil’nikov, Elastic waves of finite amplitude in solids and lattice anharmonicity, Vest. MGU, Ser. III, 3: 92 (1962).
A. A. Gedroits and V. A. Krasil’nikov, Zh. Éksp. Teor. Fiz., 43 (5): 1592 (1962).
F. R. Rollins, Interaction of ultrasonic waves in solid media, Appl. Phys. Lett„ 2 (8): 147 (1963).
V. V. Shklovskaya-Kordi, Experimental Investigations of Finite-Amplitude Ultrasonic Waves, Akust. Inst., Moscow (1966).
L. A. Pospelov, Propagation of finite amplitude elastic waves, Akust. Zh., 11 (3): 359 (1965).
R. N. Thurston, Ultrasonic data and the thermodynamics of solids, Proc. IEEE, 53 (10): 1320 (1965).
S. V. Krivokhizha, D. I. Mash, V. V. Morozov, and I. L. Fabelinskii, Induced Mandel’shtam-Brillouin scattering in a quartz single crystal in the temperature interval 2.1–300°K, ZhÉTF Pis. Red., No 3, o. 378 (1966).
A. L. Polyakova, Nonlinear effects in a hypersonic wave, ZhÉTF Pis. Red., 4 (4): 132 (1966).
M. G. Kogan, Energy Losses of the Mechanical Oscillations of Magnetostrictive Transducers and Tools for Ultrasonic Processing, Publ. No. 3, Leningrad, Dom Nauch. Tekh. Propagandy, Leningrad (1962).
P. A. Bezuglyi, V. L. Fil’, and A. A. Shevchenko, Nonlinear effects in the absorption of ultrasound in superconducting indium, Zh. É’ksp. Tear. Fiz., 496 (12)): 1715 (1965).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1971 Springer Science+Business Media New York
About this chapter
Cite this chapter
Naugol’nykh, K.A. (1971). Absorption of Finite-Amplitude Waves. In: Rozenberg, L.D. (eds) High-Intensity Ultrasonic Fields. Ultrasonic Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-5408-7_1
Download citation
DOI: https://doi.org/10.1007/978-1-4757-5408-7_1
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-5410-0
Online ISBN: 978-1-4757-5408-7
eBook Packages: Springer Book Archive