The Effect of Thermal Expansion on Nonlinear First And Second Sound in the Whole Temperature Region of He Ii

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dc.contributorVirginia Techen
dc.contributor.authorBraun, S.en
dc.contributor.authorKluwick, A.en
dc.contributor.authorCramer, Mark S.en
dc.contributor.departmentBiomedical Engineering and Mechanicsen
dc.date.accessed2014-04-04en
dc.date.accessioned2014-04-24T18:34:20Zen
dc.date.available2014-04-24T18:34:20Zen
dc.date.issued1996-09-01en
dc.description.abstractWe consider one-dimensional, weakly nonlinear first and second sound waves in He II. The first correction to the shock speed is computed for each sound mode. The expressions obtained are exact with respect to the coefficient of thermal expansion beta. It is shown that the commonly made assumption of negligible beta can lead to significant error in the shock speeds for first sound away from the lambda-line. This contrasts with the calculation of the linear sound speeds and the shock speed for second sound where the beta=0 approximation yields accurate results. Near the lambda-line, the exact expressions for both modes are seen to contain fundamentally different singularities than those found in the commonly employed beta=0 theory. (C) 1996 American Institute of Physics.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBraun, S; Kluwick, A; Cramer, MS, "the effect of thermal expansion on nonlinear first and second sound in the whole temperature region of He II," Phys. Fluids 8, 2513 (1996); http://dx.doi.org/10.1063/1.869034en
dc.identifier.doihttps://doi.org/10.1063/1.869034en
dc.identifier.issn1070-6631en
dc.identifier.urihttp://hdl.handle.net/10919/47665en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/pof2/8/9/10.1063/1.869034en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject2nd-sound shock-wavesen
dc.subjectMixed nonlinearityen
dc.subjectSuperfluid-heliumen
dc.subject4th sounden
dc.subjectVelocityen
dc.titleThe Effect of Thermal Expansion on Nonlinear First And Second Sound in the Whole Temperature Region of He Iien
dc.title.serialPhysics of Fluidsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten

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