The inclusion drift in acoustic fields is investigated by analytical methods. A formula for the total force acting on a spherical inclusion with allowance for the compressibility of the carrier phase and the inclusion is obtained. A formula for the frequency after which the total force changes its direction is derived. The total-force directional diagram proposed by the authors earlier is refined.
Similar content being viewed by others
References
R. I. Nigmatulin, Dynamics of Multiphase Media [in Russian], Pts. 1, 2, Nauka, Moscow (1987).
R. F. Ganiev and L. E. Ukrainskii, Nonlinear Wave Mechanics and Technology [in Russian], Izd. R&C Dynamics, Moscow (2008).
Shih-Yi Tsai and Bernard Otterman, Particle collection by means of low frequency sound waves, Atmospheric Environment, 8, Issue 9, September 1974, pp. 873–884.
P. Vainshtein, M. Fichman, and D. Pnueli, On the drift of aerosol particles in sonic fields, J. Aerosol Sci., 23, 631–637 (1992).
P. Vainshtein, M. Fichman, K. Shuster, and C. Gutfinger, The effect of centreline particle concentration in a wave tube, J. Fluid Mech., 306, 31–42 (1996).
V. F. K. Bjerknes, Die Kraftfelder, Vieweg und Sohn, Braunschweig, Germany (1909).
A. Doinikov, Viscous effect of force between two bubbles, J. Acoust. Soc. Am., 111, No. 4, 1602–1609 (2002).
S. S. Dukhin, Theory of the drift of an aerosol particle in a standing acoustic wave, Kolloidn. Zh., 22, No. 1, 128–130 (1960).
E. P. Mednikov, Acoustic Coagulation and Deposition of Aerosols [in Russian], Izd. AN SSSR, Moscow (1963).
N. A. Fuks, Mechanics of Aerosols [in Russian], Izd. AN SSSR, Moscow (1955).
H. Czyz, On the concentration of aerosol particles by means of drift forces in a standing wave field, Acustica, 70, 23–28 (1990).
I. N. Kanevskii, Constant forces appearing in a sonic field, Akust. Zh., 7, Issue 1, 3–17 (1961).
L. King, On the acoustic radiation pressure on spheres, Proc. Roy. Soc. A, 147, 212–240 (1934).
P. J. Westervelt, The mean pressure and velocity in a plane acoustic wave in a gas, J. Acoust. Soc. Am., 22, No. 3, 319–327 (1950).
P. J. Westervelt, The theory of steady forces caused by sound waves, J. Acoust. Soc. Am., 23, No. 4, 312–315 (1951).
P. J. Westervelt, Acoustic radiation pressure, J. Acoust. Soc. Am., 29, No. 1, 26–29 (1957).
K. Yosioka and G. Kawasima, Acoustic radiation pressure on compressible spheres, Acustica, 5, 167–173 (1955).
K. Yosioka, G. Kawasima, and H. Hirano, Acoustic radiation pressure on bubbles and their logarithmic decrement, Acustica, 5, 173–178 (1955).
L. P. Gor’kov, On the forces acting on a small particle in an acoustic field in an ideal fluid, Dokl. AN SSSR, 140, No. 1, 88–91 (1961).
H. Czyz, The aerosol particle drift in a standing wave field, Arch. Acoust., 12, Nos. 3–4, 199–214 (1987).
H. Czyz and J. K. Snakowski, Influence of acoustical field on small particles, J. Phys., 4, 861–864 (1994).
A. G. Kutushev, Non-Stationary Shock Waves in Two-phase Gas-Particle or Gas-Droplet Mixtures, Nedra, St. Petersburg (2003).
A. Goldshtein, K. Shuster, P. Vainshtein, M. Fichman, and C. Gutfinger, Particle motion in resonance tubes, J. Fluid Mech., 360, 1–20 (1998).
D. A. Gubaidullin and P. P. Osipov, Influence of hydrodynamic forces on the drift of inclusions in wave fields, Izv. Vyssh. Uchebn. Zaved., Probl. Énerg., Nos. 1–2, 3–13, Kazan’ (2010).
D. T. Shaw and N. Rajendran, Application of acoustic agglomerators for emergency use in liquid-metal fast breeder reactor plants, Nucl. Sci. Eng., 70, 127–134 (1979).
O. Brand and E. Hiedemann, Ueber das Verhalten von Aerosolen im akustischen Feld, Kolloid Z., Bd. 75, H. 2, S. 129–135 (1936).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Gubaidullin, D.A., Osipov, P.P. On certain regimes of inclusion drift in acoustic fields. J Eng Phys Thermophy 84, 270–279 (2011). https://doi.org/10.1007/s10891-011-0469-9
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-011-0469-9