On the theory of sound scattering and viscous absorption in aqueous suspensions at medium and short wavelengths
An explicit expression is derived for the phase shifts of the partial waves scattered by a solid elastic sphere, incorporating the effects of the viscosity of the ambient fluid. The solution is applicable to frequencies and scatterer sizes for which the viscous boundary layer thickness is much less...
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| Veröffentlicht in: | The Journal of the Acoustical Society of America 1985-11, Vol.78 (5), p.1761-1771 |
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| container_end_page | 1771 |
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| container_issue | 5 |
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| container_title | The Journal of the Acoustical Society of America |
| container_volume | 78 |
| creator | HAY, A. E MERCER, D. G |
| description | An explicit expression is derived for the phase shifts of the partial waves scattered by a solid elastic sphere, incorporating the effects of the viscosity of the ambient fluid. The solution is applicable to frequencies and scatterer sizes for which the viscous boundary layer thickness is much less than the radius of the sphere. For particle sizes in the sand-size range (30 μm |
| doi_str_mv | 10.1121/1.392762 |
| format | Article |
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E ; MERCER, D. G</creator><creatorcontrib>HAY, A. E ; MERCER, D. G</creatorcontrib><description>An explicit expression is derived for the phase shifts of the partial waves scattered by a solid elastic sphere, incorporating the effects of the viscosity of the ambient fluid. The solution is applicable to frequencies and scatterer sizes for which the viscous boundary layer thickness is much less than the radius of the sphere. For particle sizes in the sand-size range (30 μm<a< 1 mm) or larger, this requires that the wavelength be comparable to or smaller than the scatterer circumference. Expressions for the phase shifts in the rigid and immobile, rigid limits, including viscous effects, are also obtained, as is an approximate expression for the viscous absorption coefficient in the rigid, immobile limit. These results are used to calculate the backscatter amplitudes and the viscous and scattering attenuation coefficients for tungsten carbide, aluminum, and quartz spheres in water. It is found that the viscous absorption coefficient is a slowly increasing function of frequency, except for sharp peaks at the frequencies of the whispering gallery wave resonances. Rayleigh wave resonances have little effect. In contrast, the Rayleigh wave resonances cause the largest departures from the rigid sphere form of the scattering attenuation coefficient.</description><identifier>ISSN: 0001-4966</identifier><identifier>EISSN: 1520-8524</identifier><identifier>DOI: 10.1121/1.392762</identifier><identifier>CODEN: JASMAN</identifier><language>eng</language><publisher>Woodbury, NY: Acoustical Society of America</publisher><subject>Acoustics ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; Physics ; Underwater sound</subject><ispartof>The Journal of the Acoustical Society of America, 1985-11, Vol.78 (5), p.1761-1771</ispartof><rights>1986 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c320t-e9e0dda62f04d27a5a780eb0270d517087b9e9347f64f61f47b8faca3c02c6ee3</citedby></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>207,314,780,784,27922,27923</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=8530362$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>HAY, A. E</creatorcontrib><creatorcontrib>MERCER, D. G</creatorcontrib><title>On the theory of sound scattering and viscous absorption in aqueous suspensions at medium and short wavelengths</title><title>The Journal of the Acoustical Society of America</title><description>An explicit expression is derived for the phase shifts of the partial waves scattered by a solid elastic sphere, incorporating the effects of the viscosity of the ambient fluid. The solution is applicable to frequencies and scatterer sizes for which the viscous boundary layer thickness is much less than the radius of the sphere. For particle sizes in the sand-size range (30 μm<a< 1 mm) or larger, this requires that the wavelength be comparable to or smaller than the scatterer circumference. Expressions for the phase shifts in the rigid and immobile, rigid limits, including viscous effects, are also obtained, as is an approximate expression for the viscous absorption coefficient in the rigid, immobile limit. These results are used to calculate the backscatter amplitudes and the viscous and scattering attenuation coefficients for tungsten carbide, aluminum, and quartz spheres in water. It is found that the viscous absorption coefficient is a slowly increasing function of frequency, except for sharp peaks at the frequencies of the whispering gallery wave resonances. Rayleigh wave resonances have little effect. In contrast, the Rayleigh wave resonances cause the largest departures from the rigid sphere form of the scattering attenuation coefficient.</description><subject>Acoustics</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Underwater sound</subject><issn>0001-4966</issn><issn>1520-8524</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1985</creationdate><recordtype>article</recordtype><recordid>eNo9kE9LAzEQxYMoWKvgR8jBg5etk2R3s3uU4j8o9KLnJc1O2pU2WTPZSr-9WysehuE9fjPwHmO3AmZCSPEgZqqWupRnbCIKCVlVyPycTQBAZHldlpfsiuhzlEWl6gkLS8_TBo8T4oEHxykMvuVkTUoYO7_mZpT7jmwYiJsVhdinLnjeeW6-Bjy6NFCPnkZ3JBLfYdsNu9872oSY-LfZ4xb9Om3oml04syW8-dtT9vH89D5_zRbLl7f54yKzSkLKsEZoW1NKB3krtSmMrgBXIDW0hdBQ6VWNtcq1K3NXCpfrVeWMNcqCtCWimrL7018bA1FE1_Sx25l4aAQ0x6Ia0ZyKGtG7E9qbMfXWReNtR_98VShQI_YDVTVpyw</recordid><startdate>19851101</startdate><enddate>19851101</enddate><creator>HAY, A. 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G</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the theory of sound scattering and viscous absorption in aqueous suspensions at medium and short wavelengths</atitle><jtitle>The Journal of the Acoustical Society of America</jtitle><date>1985-11-01</date><risdate>1985</risdate><volume>78</volume><issue>5</issue><spage>1761</spage><epage>1771</epage><pages>1761-1771</pages><issn>0001-4966</issn><eissn>1520-8524</eissn><coden>JASMAN</coden><abstract>An explicit expression is derived for the phase shifts of the partial waves scattered by a solid elastic sphere, incorporating the effects of the viscosity of the ambient fluid. The solution is applicable to frequencies and scatterer sizes for which the viscous boundary layer thickness is much less than the radius of the sphere. For particle sizes in the sand-size range (30 μm<a< 1 mm) or larger, this requires that the wavelength be comparable to or smaller than the scatterer circumference. Expressions for the phase shifts in the rigid and immobile, rigid limits, including viscous effects, are also obtained, as is an approximate expression for the viscous absorption coefficient in the rigid, immobile limit. These results are used to calculate the backscatter amplitudes and the viscous and scattering attenuation coefficients for tungsten carbide, aluminum, and quartz spheres in water. It is found that the viscous absorption coefficient is a slowly increasing function of frequency, except for sharp peaks at the frequencies of the whispering gallery wave resonances. Rayleigh wave resonances have little effect. In contrast, the Rayleigh wave resonances cause the largest departures from the rigid sphere form of the scattering attenuation coefficient.</abstract><cop>Woodbury, NY</cop><pub>Acoustical Society of America</pub><doi>10.1121/1.392762</doi><tpages>11</tpages></addata></record> |
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| identifier | ISSN: 0001-4966 |
| ispartof | The Journal of the Acoustical Society of America, 1985-11, Vol.78 (5), p.1761-1771 |
| issn | 0001-4966 1520-8524 |
| language | eng |
| recordid | cdi_crossref_primary_10_1121_1_392762 |
| source | AIP Acoustical Society of America |
| subjects | Acoustics Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Underwater sound |
| title | On the theory of sound scattering and viscous absorption in aqueous suspensions at medium and short wavelengths |
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