Resonator frequency shift due to ultrasonically induced microparticle migration in an aqueous suspension: Observations and model for the maximum frequency shift

Journal of the Acoustical Society of America

Volumn 103, Issue 6, 1998, Pages 3290-3300

  Kwiatkowski, Christopher S ^a   Marston, Philip L ^a  

^a WASHINGTON STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; AQUEOUS SOLUTION; ARTICLE; MATHEMATICAL ANALYSIS; OBSERVATION; PHENOMENOLOGY; PRIORITY JOURNAL; THEORY; ULTRASOUND;

EID: 0031749729     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.423080     Document Type: Article

References (34)

1. R. A. Roy and R. E. Apfel, "Mechanical characterization of microparticles by scattered ultrasound," J. Acoust. Soc. Am. 87, 2332-2341 (1990).
2. J. R. Allegra and S. A. Hawley, "Attenuation of sound in suspensions and emulsions: Theory and experiments," J. Acoust. Soc. Am. 51, 1545-1564 (1972); G. Horváth-Szabó and H. Høila, "Compressibility determination of Silica particles by ultrasound velocity and density measurements on their suspensions," J. Colloid Interface Sci. 177, 568-578 (1996).
3. J. R. Allegra and S. A. Hawley, "Attenuation of sound in suspensions and emulsions: Theory and experiments," J. Acoust. Soc. Am. 51, 1545-1564 (1972); G. Horváth-Szabó and H. Høila, "Compressibility determination of Silica particles by ultrasound velocity and density measurements on their suspensions," J. Colloid Interface Sci. 177, 568-578 (1996).
4. H. J. Simpson and P. L. Marston, "Ultrasonic four-wave mixing mediated by an aqueous suspension of microspheres: Theoretical steady-state properties," J. Acoust. Soc. Am. 98, 1731-1741 (1995).
5. H. J. Simpson, "Interaction of sound with sound by novel mechanisms: Ultrasonic four-wave mixing mediated by a suspension and ultrasonic three-wave mixing at a free surface," Ph.D. dissertation, Department of Physics, Washington State University, Pullman, WA, 1992. For abstract see: J. Acoust. Soc. Am. 94, 1167 (1993). See also: H. J. Simpson and P. L. Marston, "Parametric layers, four-wave mixing, and wave-front reversal," in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1998), pp. 399-420.
6. H. J. Simpson, "Interaction of sound with sound by novel mechanisms: Ultrasonic four-wave mixing mediated by a suspension and ultrasonic three-wave mixing at a free surface," Ph.D. dissertation, Department of Physics, Washington State University, Pullman, WA, 1992. For abstract see: J. Acoust. Soc. Am. 94, 1167 (1993). See also: H. J. Simpson and P. L. Marston, "Parametric layers, four-wave mixing, and wave-front reversal," in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1998), pp. 399-420.
7. H. J. Simpson, "Interaction of sound with sound by novel mechanisms: Ultrasonic four-wave mixing mediated by a suspension and ultrasonic three-wave mixing at a free surface," Ph.D. dissertation, Department of Physics, Washington State University, Pullman, WA, 1992. For abstract see: J. Acoust. Soc. Am. 94, 1167 (1993). See also: H. J. Simpson and P. L. Marston, "Parametric layers, four-wave mixing, and wave-front reversal," in Nonlinear Acoustics, edited by M. F. Hamilton and D. T. Blackstock (Academic, San Diego, 1998), pp. 399-420.
8. C. S. Kwiatkowski, "Ultrasonic probes of aqueous particle suspensions: collinear four-wave mixing and resonator detuning," Doctoral dissertation, Washington State University, 1997.
9. M. H. Weiser, R. E. Apfel, and E. A. Neppiras, "Interparticle forces on red cells in a standing wave field," Acustica 56, 144-119 (1984); M. H. Weiser and R. E. Apfel, "Extension of acoustic levitation to include the study of micron-size particles in a more compressible host liquid," J. Acoust. Soc. Am. 71, 1261-1268 (1982).
10. M. H. Weiser, R. E. Apfel, and E. A. Neppiras, "Interparticle forces on red cells in a standing wave field," Acustica 56, 144-119 (1984); M. H. Weiser and R. E. Apfel, "Extension of acoustic levitation to include the study of micron-size particles in a more compressible host liquid," J. Acoust. Soc. Am. 71, 1261-1268 (1982).
11. G. Whitworth and W. T. Coakley, "Particle column formation in a stationary ultrasonic field," J. Acoust. Soc. Am. 91, 79-85 (1992).
12. G. Whitworth, M. A. Grundy, and W. T. Coakley, "Transport and harvesting of suspended particles using modulated ultrasound," Ultrasonics 29, 439-444 (1991).
13. P. M. Morse and K. U. Ingard, Theoretical Acoustic (McGraw Hill, New York, 1968), pp. 436-441.
14. L. Brillouin, Wave Propagation in Periodic Structures (Dover, New York, 1953).
15. D. Bai and J. B. Keller, "Sound waves in a periodic medium containing rigid spheres," J. Acoust. Soc. Am. 82, 1436-1441 (1987).
16. C. E. Bradley, "Time harmonic acoustic Bloch wave propagation in periodic waveguides Part I. Theory," J. Acoust. Soc. Am. 96, 1844-1853 (1994).
17. L. P. Gor'kov, "On the forces acting on a small particle in an acoustical field in an ideal fluid," Sov. Phys. Dokl. 6, 773-775 (1962).
18. K. Higashitani, M. Fukushima, and Y. Matsuno, "Migration of suspended particles in plane stationary ultrasonic field," Chem. Eng. Sci. 36, 1877-1882 (1981).
19. E. Leung, C. P. Lee, N. Jacobi, and T. G. Wang, "Resonance frequency shift of an acoustic chamber containing a rigid sphere," J. Acoust. Soc. Am. 72, 615-620 (1982).
20. R. T. Beyer, "Radiation pressure - The history of a mislabeled tensor," J. Acoust. Soc. Am. 63, 1025-1030 (1978).
21. I. Percival and D. Richards, Introduction to Dynamics (Cambridge U.P., Cambridge, 1989).
22. S. Putterman, J. Rudnick, and M. Barmatz, "Acoustic Levitation and the Boltzmann-Ehrenfest principle," J. Acoust. Soc. Am. 85, 68-71 (1989).
23. K. Yosioka and Y. Kawasima, "Acoustic radiation pressure on a compressible sphere," Acustica 5, 167-173 (1955).
24. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965), Eq. (9.6.19).
25. P. Brodeur, "Motion of fluid-suspended fibers in a standing wave field," Ultrasonics 29, 302-307 (1991).
26. A. A. Doinikov, "Acoustic radiation pressure on a rigid sphere in a viscous fluid," Proc. R. Soc. London, Ser. A 447, 447-466 (1994).
27. A. A. Doinikov, "Acoustic radiation pressure on a compressible sphere in a viscous fluid," J. Fluid Mech. 267, 1-21 (1994).
28. P. L. Marston, S. G. Goosby, D. S. Langley, and S. E. LoPorto-Arione, "Resonances, radiation pressure, and optical scattering phenomena of drops and bubbles," in Proceedings of the Second International Colloquium on Drops and Bubbles, edited by D. H. LeCroissette (Jet Propulsion Laboratory, Pasadena, 1982), pp. 166-174.
29. K. Yasuda and T. Kamakura, "Acoustic radiation force on micrometer-size particles," Appl. Phys. Lett. 71, 1771-1773 (1997).
30. T. Hasegawa, "Comparison of two solutions for acoustic radiation pressure on a sphere," J. Acoust. Soc. Am. 61, 1445-1446 (1977).
31. E. J. Urick, "A sound velocity method for determining the compressibility of finely divided substances," J. Appl. Phys. 18, 983-987 (1947).
32. J. S. Walker and J. Gathright, "A transfer-matrix approach to one-dimensional quantum mechanics using Mathematica," Comput. Phys. 6, 393-399 (1992).
33. D. L. Folds and C. D. Loggins, "Transmission and reflection of ultrasonic waves in layered media," J. Acoust. Soc. Am. 62, 1102-1109 (1977); D. Lévesque and L. Piché, "A robust transfer matrix formulation for the ultrasonic response of multilayered absorbing media," J. Acoust. Soc. Am. 92, 452-467 (1992).
34. D. L. Folds and C. D. Loggins, "Transmission and reflection of ultrasonic waves in layered media," J. Acoust. Soc. Am. 62, 1102-1109 (1977); D. Lévesque and L. Piché, "A robust transfer matrix formulation for the ultrasonic response of multilayered absorbing media," J. Acoust. Soc. Am. 92, 452-467 (1992).