Ultrasonic Separation of Suspended Particles - Part I: Fundamentals

Acustica

Volumn 84, Issue 3, 1998, Pages 432-447

  Gröschl, Martin ^a  

^a VIENNA UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PARTICLES (PARTICULATE MATTER); PERTURBATION TECHNIQUES; PIEZOELECTRIC DEVICES; SUSPENSIONS (FLUIDS); ULTRASONIC APPLICATIONS;

PIEZOELECTRIC RESONATORS; ULTRASONIC SEPARATION TECHNOLOGY;

ACOUSTIC RESONATORS;

EID: 0032075048     PISSN: 00017884     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (47)

1. R. E. Apfel: Acoustic radiation pressure - principles and application to separation science. Fortschritte der Akustik - DAGA '90. DPG-GmbH, Bad Honnef, Germany, 1990. 19-36. Teil A. ISBN 3-923835-07-8.
2. C. J. Schram: Manipulation of particles in an acoustic field. -In: Advances in Sonochemistry. Vol. 2. T. J. Mason (ed.). JAI Press Ltd., London, 1991, 293-322.
3. W. T. Coakley, G. Whitworth, M. A. Grundy, R. K. Gould, R. Allman: Ultrasonic manipulation of particles and cells. Bioseparation 4 (1994) 73-83.
4. F. Trampler, S. A. Sonderhoff, P. W. S. Pui, D. G. Kilburn, J. M. Piret: Acoustic cell filter for high density perfusion culture of hybridoma cells. Bio/Technology 12(3) (1994) 281-284.
5. O. Doblhoff-Dier, T. Gaida, H. Katinger, W. Burger, M. Gröschl, E. Benes: A novel ultrasonic resonance field device for the retention of animal cells. Biotechnol. Prog. 10(4) (1994) 428-432.
6. L. D. Landau, E. M. Lifshitz: Fluid mechanics. Pergamon, New York, 1959.
7. L. V. King: On the acoustic radiation pressure on spheres. Proc. R. Soc. London A147 (1934) 212-240.
8. K. Yosioka, Y. Kawasima: Acoustic radiation pressure on a compressible sphere. Acustica 5 (1955) 167-173.
9. S. D. Danilov, M. A. Mironov: Radiation pressure force acting on a small particle in a sound field. Sov. Phys. Acoust. 30(4) (1984) 280-283.
10. L. P. Gor'kov: On the forces acting on a small particle in an acoustical field in an ideal fluid. Sov. Phys. Dokl. 6(9) (1962) 773-775.
11. W. L. Nyborg: Radiation pressure on a small rigid sphere. J. Acoust. Soc. Am. 42(5) (1967) 947-952.
12. L. A. Crum: Acoustic force on a liquid droplet in an acoustic stationary wave. J. Acoust. Soc. Am. 50(1) (1971) 157-163.
13. W. König: Hydrodynamisch-akustische Untersuchungen: II. Über die Kräfte zwischen zwei Kugeln in einer schwingenden Flüssigkeit und über die Entstehung der Kundt'schen Staubfiguren. Ann. Phys. Chem. 42(4) (1891) 549-563.
14. V. F. K. Bjerknes: Die Kraftfelder. Vieweg und Sohn, Braunschweig, Germany, 1909.
15. L. A. Crum: Bjerknes forces on bubbles in a stationary sound field. J. Acoust. Soc. Am. 57(6) (1975) 1363-1370.
16. N. Pelekasis, J. Tsamopoulos: Bjerknes forces between 2 bubbles. Part I: Response to a step change in pressure. J. Fluid Mech. 254 (1993) 467-499.
17. N. Pelekasis, J. Tsamopoulos: Bjerknes forces between 2 bubbles. Part II: Response to an oscillatory pressure field. J. Fluid Mech. 254 (1993) 501-527.
18. X. Zheng, R. E. Apfel: Acoustic interaction forces between two fluid spheres in an acoustic field. J. Acoust. Soc. Am. 97(4) (1995) 2218-2226.
19. M. A. H. Weiser, R. E. Apfel: Interparticle forces on red cells in a standing wave field. Acustica 56 (1984) 114-119.
20. P. J. Westervelt: The theory of steady forces caused by sound waves. J. Acoust. Soc. Am. 23(4) (1951) 312-315.
21. A. A. Doinikov: Acoustic radiation pressure on a rigid sphere in a viscous fluid. Proc. R. Soc. London A447 (1994) 447-466.
22. A. A. Doinikov: Acoustic radiation pressure on a compressible sphere in a viscous fluid. J. Fluid Mech. 267 (1994) 1-21.
23. J. Lighthill: Acoustic streaming. J. Sound Vib. 61(3) (1978) 391-418.
24. F. Hager: Nonlinear and viscous effects in acoustic separation processes. Dissertation. University of Technology, Vienna, Austria, 1991.
25. T. Hasegawa, Y. Watanabe: Acoustic radiation pressure on an absorbing sphere. J. Acoust. Soc. Am. 63(6) (1978) 1733-1737.
26. V. A. Sutilov: Fundamental physics of ultrasound. Gordon and Breach Science Publ., New York, 1988.
27. B. A. Auld: Acoustic fields and waves in solids. Vol. 1. John Wiley and Sons, New York, 1973.
28. T. Hasegawa: Acoustic radiation force on a sphere in a quasistationary wave field - theory. J. Acoust. Soc. Am. 65(1) (1979) 32-40.
29. E. Benes, F. Hager, W. Stuckart, H. Frischherz: Abscheidung dispergierter Teilchen durch Ultraschall-induzierte Koagulation. Fortschritte der Akustik - DAGA '89. DPG-GmbH, Bad Honnef, Germany, 1989. 255-258. ISBN 3-923835-06-X.
30. G. Whitworth, W. T. Coakley: Particle column formation in a stationary ultrasonic field. J. Acoust. Soc. Am. 91(1) (1992) 79-85.
31. K. S. Van Dyke: The electric network equivalent of a piezoelectric resonator. Phys. Rev. 25 (1925) 895.
32. E. Hafner: Resonator and device measurements. - In: Precision Frequency Control. Vol. 2. E. A. Gerber, A. Ballato (eds.). Academic, Orlando, FL, USA, 1985, 1-44.
33. A. Ballato, H. L. Bertoni, T. Tamir: Systematic design of stacked-crystal filters by microwave network methods. IEEE Trans. Microwave Theory Tech. 22(1) (1974) 14-25.
34. J.-L. Dion: New transmission line analogy applied to single and multilayered piezoelectric transducers. IEEE Trans. Ultrason., Ferroelec., Freq. Contr. 40(5) (1993) 577-583.
35. E. L. Adler: Matrix methods applied to acoustic waves in multilayers. IEEE Trans. Ultrason., Ferroelec., Freq. Contr. 37(6) (1990) 485-490.
36. J. T. Stewart, Y.-K. Yong: Exact analysis of the propagation of acoustic waves in multilayered anisotropic piezoelectric plates. IEEE Trans. Ultrason., Ferroelec., Freq. Contr. 41(3) (1994) 375-390.
37. M. J. S. Lowe: Matrix techniques for modeling ultrasonic waves in multilayered media. IEEE Trans. Ultrason., Ferroelec., Freq. Contr. 42(4) (1995) 525-542.
38. H. Nowotny, E. Benes: General one-dimensional treatment of the layered piezoelectric resonator with two electrodes. J. Acoust. Soc. Am. 82(2) (1987) 513-521.
39. M. Schmid, E. Benes, W. Burger, V. Kravchenko: Motional capacitance of layered piezoelectric thickness-mode resonators. IEEE Trans. Ultrason., Ferroelec., Freq. Contr. 38(3) (1991) 199-206.
40. IEEE standard on piezoelectricity, No. 176. 1978.
41. H. Nowotny, E. Benes, M. Schmid: Layered piezoelectric resonators with an arbitrary number of electrodes (general one-dimensional treatment). J. Acoust. Soc. Am. 90(3) (1991) 1238-1245.
42. R. Holland: Representation of dielectric, elastic, and piezoelectric losses by complex coefficients. IEEE Trans. Sonics Ultrason. 14(1) (1967) 18-20.
43. R. Holland, E. P. EerNisse: Design of resonant piezoelectric devices. Research monograph No. 56. M.I.T. Press, Cambridge, Mass., USA, 1969.
44. W. Burger. M. Gröschl, F. Trampler, E. Benes: Frequency dependence of the acoustic loss distribution in piezoceramic/liquid resonators. Ultrasonics International '93, Conference Proceedings, Butterworth-Heinemann, Oxford, UK, 1993. 507-510. ISBN 0 750618 779.
45. M. Schmid, E. Benes, R. Sedlaczek: A computer-controlled system for the measurement of complete admittance spectra of piezoelectric resonators. Meas. Sci. Technol. 1 (1990) 970-975.
46. W. Burger: Anwendung von Ultraschallresonanzfeldern zur Zellrückhaltung und -abscheidung in der Biotechnologie. Dissertation. University of Technology, Vienna, Austria, 1994.
47. S. A. Sonderhoff: SonoSep Biotech Inc., Vancouver, Canada. Personal communication.