Acoustic streaming in a waveguide with slowly varying height

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dc.contributorVirginia Tech. Engineering Science and Mechanics Departmenten
dc.contributor.authorThompson, Charlesen
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2015-05-12en
dc.date.accessioned2015-05-28T14:56:07Zen
dc.date.available2015-05-28T14:56:07Zen
dc.date.issued1984-01-01en
dc.description.abstractAn analysis of acoustic streaming in a two-dimensional waveguide having slowly varying height is presented. Special attention is paid to waveguides with cross sections that are small compared to the acoustic and/or wall wavelengths. It is shown that the dynamic behavior of the enclosed fluid can be parameterized by the values of three small parameters, ɛ, 1/S, and 1/R, where ɛ is the ratio of the typical duct height H₀ to the wall wavelength L₀, 1/S is the ratio of the typical oscillatory particle displacement U₀ to the typical duct height H₀ and 1/R is the ratio of the oscillatory boundary layer thickness lᵥ to the typical duct height H 0. An analytical solution describing the streaming flow in the duct is given in terms of a regular perturbation sequence in ɛ. It is shown that the oscillatory pressure must satisfy the lossy Webster horn equation to O(ɛ²) if the no slip boundary condition is to be satisfied. Outside the boundary layer it is shown that the time averaged slip velocity is the sum of two terms. The first term is proportional to the product of the incident and reflected wave amplitudes. The second term is proportional to the difference between the incident and reflected acoustic intensity of the wave. For small values of 1/S, 1/R, and ɛ the streaming solution given is shown to be valid until R/S 2 becomes of O(1).en
dc.format.extent11 pagesen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationThompson, C. (1984). Acoustic streaming in a waveguide with slowly varying height. Journal of the Acoustical Society of America, 75(1), 97-107. doi: 10.1121/1.390305en
dc.identifier.doihttps://doi.org/10.1121/1.390305en
dc.identifier.issn0001-4966en
dc.identifier.urihttp://hdl.handle.net/10919/52711en
dc.identifier.urlhttp://scitation.aip.org/content/asa/journal/jasa/75/1/10.1121/1.390305en
dc.language.isoen_USen
dc.publisherAcoustical Society of Americaen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectAcoustic waveguidesen
dc.subjectAcoustic streamingen
dc.subjectAcoustic wavesen
dc.subjectAcoustic analysisen
dc.subjectBoundary value problemsen
dc.titleAcoustic streaming in a waveguide with slowly varying heighten
dc.title.serialJournal of the Acoustical Society of Americaen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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