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Original Articles

Ultrasonic Scattering by a Spheroidal Suspension Including Dissipative Effects

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Pages 1093-1107 | Received 15 Sep 2006, Accepted 30 Sep 2006, Published online: 11 Sep 2007

References

  • Blanchard , Af. 1971 . Carbon black. Carbon particle reinforcement of rubber‐1 . Rubber J. , 153 : 44 – 53 .
  • Hartwig , A. , Sebald , M. , Putz , D. and Aberle , L. Preparation, characterisation and properties of nanocomposites based on epoxy resins—An overview . Eurofillers 2003 Conference, Macromolecular symposia 221 . Alicante, Spain. pp. 127 – 136 . Wiley‐VCH .
  • Magnaudet , J. and Eames , I. 2000 . Motion of high‐Reynolds‐number bubbles in inhomogeneous flows . Ann. Rev. Fluid Mech. , 32 : 659 – 708 .
  • Kremnev , Oa. , Satanovskiy , Al. , Protsyshin , Bn. and Tarasuk , En. 1970 . Interaction of water spheroids with heated surfaces . Heat Trans.‐Sov. Res. , 12 : 7 – 10 .
  • Ou , C. L. and Keh , H. J. 2005 . Low‐knudsen‐number photophoresis of aerosol spheoroids . J Col. Inteface Sci. , 282 : 69 – 79 .
  • Keh , H. J. and Ou , C. L. 2003 . Thermophoresis of aerosol spheroids . Aeros. Sci. Tech. , 64 : 29 – 39 .
  • Paramonov , L. E. 1994 . Simple formula for estimation of the absortion cross‐section of biological suspensions . Opt. Spec. , 77 : 506 – 512 .
  • Champion , J. and Mitragorti , S. 2005 . Engineering shape of polymeric microparticles for drag delivery . AIChE Ann. Meet. , : 4538
  • Zamoirani , E. , Barambilla , G. , Serrini , G. , Toussaint , N. and Cazzaniga , E. 1992 . Particle fabrication by chemical processing for hazardous waste management . Cement Con. Res. , 22 : 331 – 338 .
  • Quirantes , A. and Stewart , B. 2004 . Light scattering by marine algae: Two‐layer spherical and nonspherical models . J. Quant. Spec. Rad. Trans. , 89 : 311 – 321 .
  • Guerin , M. and Seaman , C. 2004 . Characterizing clay mineral suspensions using acoustic and electroacoustic spectroscopy‐A review . Clay. Clay Min. , 52 : 145 – 157 .
  • Kuusela , E. , Hofler , K. and Schwarzer , S. 2001 . Computation of particle settling speed and orientaion distribution in suspensions of spheroids . J. Eng. Math. , 41 : 221 – 235 .
  • Bricker , J. and Butler , J. E. 2005 . Rheology of semi‐dilute suspensions of polystyrene ellipsoids at high peclet numbers . AIChE Ann. Meet., , : 1022
  • Saintillan , D. , Shagfeh , S. G.E. and Darveh , E. 2006 . The growth of concentration fluctuations in dilute dispersions of orientable and deformable particles under sedimentation . J. Fluid Mech. , 553 : 347 – 388 .
  • Dukhin , A. S. and Goetz , P. J. 2001 . Acoustic and electroacoustic spectroscopy for ch aracterizing concentrated dispersions and emulsions . Adv. Colloid Interface Sci. , 92 : 73 – 132 .
  • Sewell , C. J.T. 1910 . The extinction of sound in a viscous atmosphere by small obstacles of cylindrical and spherical form . Philosophical Transactions of the Royal Society of London A , 210 : 239 – 270 .
  • Lamb , H. 1945 . Hydrodynamics New York : Dover .
  • Lin , W. H. and Raptis , A. C. 1983 . Acoustic scattering by elastic solid cylinders and spheres in viscous fluids . J. Acoust. Soc. Am. , 73 : 736 – 748 .
  • Hasheminejad , S. M. and Harsini , B. 2003 . Effects of dynamic viscoelastic properties on acoustic diffraction by a solid sphere submerged in a viscous fluid . Arch. Appl. Mech. , 72 : 697 – 712 .
  • Hasheminejad , S. M. and Safari , N. 2005 . Acoustic scattering from viscoelastically coated spheres and cylinders in viscous fluids . J. Sound Vib. , 280 : 101 – 125 .
  • Guerin , M. and Seaman , C. J. 2004 . Characterizing clay mineral suspensions using acoustic and electroacoustic spectroscopy—A review . Clay. Clay Min. , 52 : 145 – 157 .
  • Babick , F. and Ripperger , S. 2004 . Characterization of concentrated emulsions by means of ultrasonic spectroscopy . Ingen. Tech. , 76 : 30 – 40 .
  • Spence , R. D. and Granger , S. 1951 . The scattering of sound from prolate spheroid . J. Acoust. Soc. Am. , 23 : 701 – 706 .
  • Senior , T. B.A. 1960 . Scalar diffraction by a prolate spheroid at low frequencies . Can. J. Phys. , 23 : 132 – 141 .
  • Burke , J. E. 1966 . Low‐frequency scattering by soft spheroids . J. Acoust. Soc. Am. , 39 : 826 – 832 .
  • Burke , J. E. 1968 . Scattering by penetrable spheroids . J. Acoust. Soc. Am. , 43 : 871 – 877 .
  • Silberger , A. 1963 . Scattering of sound by an elastic prolate spheroid . J. Acoust. Soc. Am. , 35 : 564 – 570 .
  • Yeh , C. 1967 . Scattering of acoustic waves by a penetrable prolate spheroid I. Liquid prolate spheroid . J. Acoust. Soc. Am. , 42 : 518 – 521 .
  • Yeh , C. 1969 . Scattering by liquid‐coated prolate spheroids . J. Acoust. Soc. Am. , 46 : 797 – 801 .
  • Gatkin , N. G. , Paramanova , S. N. and Pyanov , V. M. 1972 . Sound scattering by rigid prolate spheroids . Sov. Phys. Acoust. , 17 : 313 – 318 .
  • Andebura , V. A. and Ostasheveskii , A. P. 1974 . ound scattering by rigid prolate spheroids . Sov. Phys. Acoust. , 40 : 112 – 114 .
  • Kleshchev , A. A. 1974 . Sound scattering by ideal spheroids in high‐frequency limit . Sov. Phys. Acoust. , 19 : 447 – 449 .
  • Kleshchev , A. A. 1975 . Sound diffraction by bodies under mixed boundary conditions . Sov. Phys. Acoust. , 20 : 383 – 384 .
  • Lauchle , G. C. 1975 . Short‐wavelength diffraction by prolate spheroids . J. Acoust. Soc. Am. , 58 : 568 – 575 .
  • Lauchle , G. C. 1975 . Short‐wavelength backscattering by prolate spheroids . J. Acoust. Soc. Am. , 58 : 576 – 580 .
  • Muratov , R. Z. and Efimov , S. P. 1978 . Low‐frequency scattering of a plane wave by an acoustically soft ellipsoid . J. Acoust. Soc. Am. , 21 : 153 – 160 .
  • Bayliss , A. and Maestrello , L. 1978 . Measurement and analysis of farfield scattering from a prolate spheroid . J. Acoust. Soc. Am. , 64 : 896 – 900 .
  • Ahuja , A. S. 1979 . Scattering of sound in suspensions of spheroidally shaped particles . J. Acoust. Soc. Am. , 66 : 801 – 805 .
  • Germon , A. and Lauche , G. C. 1979 . Axisymmetric scattering of spherical waves by a prolate spheroid . J. Acoust. Soc. Am. , 65 : 1322 – 1327 .
  • Bostrom , A. 1980 . Transmittion and reflection of acoustic waves by an obstacle in a waveguide . Wave Motion , 2 : 167 – 184 .
  • Peterson , B. , Varadan , V. V. and Varadan , V. K. 1980 . Scattering of acoustic waves by layered elastic and viscoelastic obstacles in water . J. Acoust. Soc. Am. , 168 : 673 – 685 .
  • Dassios , G. 1980 . Second order low frequency scattering by the soft ellipsoid . SIAM J. Appl. Math. , 38 : 373 – 381 .
  • Varadan , V. K. , Varadan , V. V. , Dragonette , L. R. and Flax , L. 1982 . Computation of rigid body scattering by prolate spheroids using the T‐matrix approach . J. Acoust. Soc. Am. , 71 : 22 – 25 .
  • Varadan , V. K. , Varadan , V. V. , Su , J. H. and Pillai , T. A.K. 1982 . Comparison of spund scattering by rigid and elastic obstacles on water . J. Acoust. Soc. Am. , 71 : 1377 – 1383 .
  • Bostrom , A. 1984 . Scattering of acoustic waves by a layered elastic obstacle in a fluid– and improved null field approach . J. Acoust. Soc. Am. , 76 : 588 – 593 .
  • Werby , M. F. and Green , L. H. 1984 . Comparison of acoustical scattering from fluid‐loaded elastic shells and sound soft objects . J. Acoust. Soc. Am. , 76 : 1227 – 1230 .
  • Hackman , R. H. 1984 . Transition matrix for acoustic and elastic wave scattering in prolate spheroidal coordinates . J. Acoust. Soc. Am. , 75 : 35 – 45 .
  • Hackman , R. H. and Werby , M. F. 1984 . Nearfield effects in acoustic scattering . J. Acoust. Soc. Am. , 75 : 1001 – 1003 .
  • Werby , M. F. and Gaunaurd , G. 1985 . Sound scattering form spheroidal shells in water . Am. Soc. Mech. Eng. , 98 : 261 – 267 .
  • Sammelmann , G. S. , Trivett , D. H. and Hackman , R. H. 1988 . High‐frequncy scattering from rigid prolate spheroids . J. Acoust. Soc. Am. , 83 : 46 – 54 .
  • Hackman , R. and Todoroff , D. 1985 . An application of the spheroidal coordinate‐baserd transition matrix: The acoustic scattering from high aspect ratio solids . J. Acoust. Soc. Am. , 78 : 1058 – 1071 .
  • Poruchikov , V. B. and Prismakova , T. M. 1992 . Diffraction of acoustic wave on long spheroid . Vest. Moskov. Univ. Mekh. , 2 : 57 – 62 .
  • Kleshchev , A. A. 1992 . Integral characteristics of sound radiation and scattering by elastic bodies of a spheroidal form . Akust. Zur. , 38 : 361 – 363 .
  • Bojko , A. L. , Dyshko , A. L. and Tetyukhin , M. Y. 1992 . Plane wave scattering by slender acoustically soft body of revolution . Akust. Zur. , 38 : 834 – 843 .
  • Gintides , D. and Kiriakie , K. 1992 . Low‐frequency acoustic scattering by a hard inverse‐prolate spheroid . Q. J. Mech. App. Math. , 45 : 231 – 244 .
  • Grinblat , G. A. , Kleshchev , A. A. and Smirnov , K. V. 1993 . Sound fields of speroidal scatterers and radiators in a plane waveguide . Akust. Zur. , 39 : 72 – 76 .
  • Wright , J. P. 1993 . Numerical approach to far field acoustic wave propagation from a prolate spheroidal surface . J. Vib. Acoust. , 115 : 448 – 451 .
  • Uberall , H. , Stoyanov , Y. J. , Nagl , A. , Werby , M. F. , Brown , S. H. , Dickey , J. W. , Numrich , S. K. and Darchangelo , J. M. 1978 . Resonance spectra of elongated elastic objects . J. Acoust. Soc. Am. , 81 : 312 – 316 .
  • Athanasiadis , C. 1994 . Multi‐layered ellipsoid with a soft core in the presence of a low‐frequency acoustic wave . Q. J. Mech. App. Math. , 47 : 441 – 459 .
  • Athanasiadis , C. 1994 . Hard‐core multi‐layered ellipsoid in the presence of a low‐frequency acoustic wave . Int. J. Eng. Sci. , 47 : 1351 – 1359 .
  • Vendhan , C. P. and Prabavathi , C. 1996 . Determination of far‐field pattern of rigid scatterers using independent finite element method and eigenfunction expansion, Part 1: axisymmetric scattering . J. Vib. Acoust. , 118 : 575 – 582 .
  • Prabavathi , C. and Vendhan , C. P. 1996 . Determination of far‐field pattern of rigid scatterers using independent finite element method and eigenfunction expansion,Part 2: nonaxisymmetric scattering . J. Vib. Acoust. , 118 : 583 – 589 .
  • He , Y. S. , Xie , Z. K. and Ye , Q. Y. 1997 . Radiation and scattering of sound waves by a screened prolate spheroid . Wave Motion , 26 : 85 – 96 .
  • Ye , Z. 1997 . Low‐frequency acosutic scattering by gas‐filled prolate spheroids in liquids . J. Acoust. Soc. Am. , 101 : 1945 – 1952 .
  • Bao , X. L. , Uberall , H. and Niemiec , J. 1997 . Experimental study of sound scattering by elastic spheroids . J. Acoust. Soc. Am. , 102 : 933 – 942 .
  • Ye , Z. , Hoskinson , E. , Dewey , R. K. , Ding , L. and Farmer , D. M. 1997 . A method for acoustic scattering by slender bodies. I.Theory and verification . J. Acoust. Soc. Am. , 102 : 1964 – 1976 .
  • Ding , L. and Ye , Z. 1997 . A method for acoustic scattering by slender bodies. II.Comparison with laboratory measurements . J. Acoust. Soc. Am. , 102 : 1977 – 1976 .
  • Burnett , D. S. and Holford , L. R. 1998 . Prolate and oblate spheroidal acoustic infinite elements . Comp. Meth. App. Mech. Eng. , 158 : 117 – 141 .
  • Li , D. , Azimi‐Sadjadi , M. R. and Jamshidi , A. A. 2001 . Comparison of confidence level of different classification paradigms for underwater target discrimination . Proc. SPIE Int. Soc. Opt. Eng. , 43 : 1161 – 1172 .
  • Astley , R. J. and Coyette , J. P. 2001 . The performance of spheroidal infinite elements . Int. J. Num. Meth. Eng. , 52 : 1379 – 1396 .
  • Charalambopoulos , A. , Dassios , G. , Fotiadis , D. I. and Massalas , C. V. 2001 . Scattering of a point generated field by a multilayered spheroid . Acta Mech. , 150 : 107 – 119 .
  • Harlen , O. G. , Holmes , M. J. , Povey , M. J.W. and Sleeman , B. D. 2001 . A low frequency potential scattering description of acoustic propagation in dispersions . SIAM J. App. Math. , 61 : 1906 – 1931 .
  • Richards , S. D. , Leighton , G. T. and Brown , R. N. 2003 . Sound absorption by suspensions of nonspherical particles:Measurements compared with predictions using various particle sizing techniques . J. Acoust. Soc. Am. , 114 : 1841 – 1850 .
  • Li , W. , Liu , G. R. , Zhang , X. M. and Varadan , V. K. 2003 . Shape identification of underwater objects using backscattered frequency signals . J. Acoust. Soc. Am. , 113 : 3146 – 3154 .
  • Barton , J. P. , Wolff , N. L. , Zhang , H. and Tarawneh , C. 2003 . Near‐field calculations for a rigid spheroid with an arbitrary incident acoustic field . J. Acoust. Soc. Am. , 113 : 1216 – 1222 .
  • Okumura , T. , Masuya , T. , Takao , Y. and Sawada , K. 2003 . Acoustic scattering by an arbitrarily shaped body:an application of the boundary‐element method . ICES J. Mar. Sci. , 60 : 563 – 570 .
  • Babick , F. and Richter , A. 2006 . Sound attenuation by small spheroidal particles due to visco‐inertial coupling . J. Acoust. Soc. Am. , 119 : 1441 – 1448 .
  • Temkin , S. 1981 . Elements of Acoustics New York : Wiley .
  • Pao , Y. H. and Mow , C. C. 1972 . Diffraction of Elastic Waves and Dynamic Stress Concentrations New York : Crane Russak .
  • Morse , P.M. 1953 . Methods of Theoretical Physics New York : McGraw-Hill .
  • Vollmann , J. and Dual , J. 1997 . High‐resolution analysis of the complex wave spectrum in a cylindrical shell containing a viscoelastic medium. Part I. Theory and numerical results . J. Acoust. Soc. Am. , 102 : 896 – 908 .
  • Hartmann , B. , Lee , G. F. and Lee , J. D. 1991 . Loss factor height and width limits for polymer relaxations . J. Acoust. Soc. Am. , 95 : 226 – 233 .
  • Achenbach , J. D. 1976 . Wave Propagation in Elastic Solids New York, North-Holland
  • Fallon , P. E. 2001 . “ Theory and computation of spheroidal harmonics with general arguments ” . University of Western Australia .
  • Abramowitz , M. and Stegun , I. A. 1964 . Handbook of Mathematical Functions Washington, DC : National Bureau of Standards .
  • Vargaftik , N. B. 1983 . Handbook of Physcial Properties of Liquids and Gases Berlin : Springer‐Verlag .
  • Available at: [email protected]
  • Hackmanm , R. H. , Sammelman , G. S. , Williams , K. L. and Trivett , D. H. 1988 . A reanalysis of the acoustic scattering from elastic spheroids . J. Acoust. Soc. Am. , 83 : 1255 – 1266 .

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