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Dynamic equations of a transversely isotropic, highly porous, fibrous material including oscillatory heat transfer effects
KTH, School of Engineering Sciences (SCI), Aeronautical and Vehicle Engineering, Marcus Wallenberg Laboratory MWL.
KTH, Superseded Departments (pre-2005), Vehicle Engineering. KTH, School of Engineering Sciences (SCI), Centres, VinnExcellence Center for ECO2 Vehicle design.ORCID iD: 0000-0003-1855-5437
Université du Maine, Le Mans France. (LAUM)
2019 (English)In: Journal of the Acoustical Society of America, ISSN 0001-4966, Vol. 146, no 4, p. 2540-2551Article in journal (Refereed) Published
Abstract [en]

The dynamic equations of a transversely isotropic fibrous, highly porous material are presented in terms of microstructure-derived analytical expressions for viscous dissipation, and analytical expressions for the oscillatory heat transfer between the thermal fields of the solid cylindrical glassfibres and the surrounding viscous fluid. This represents the non-equilibrium thermal expansion of the fluid, occurring when waves propagate in the porous material, and results in a frequency-dependent scaling of the fluid dilatation term. A state-space transfer matrix solution of the governing equations has been introduced, allowing the numerical acoustical performance of the fibrous material to be investigated, including the acoustical effects of heat transfer. In order to understand the dissipation mechanisms of the viscous and thermal boundary layers on the surface of the fibres and the validity of the assumptions made in the current model, a thermoviscous acoustic fluid finite element procedure has also been introduced. The results from these simulations illustrate the frequency-dependent interaction of the boundary layers between neighbouring fibres in the porous material.

Place, publisher, year, edition, pages
2019. Vol. 146, no 4, p. 2540-2551
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:kth:diva-266123DOI: 10.1121/1.5129368OAI: oai:DiVA.org:kth-266123DiVA, id: diva2:1381575
Funder
Swedish Research Council, 2015-04258Available from: 2019-12-23 Created: 2019-12-23 Last updated: 2020-01-02Bibliographically approved

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Publisher's full texthttps://asa-scitation-org.focus.lib.kth.se/doi/full/10.1121/1.5129368

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Semeniuk, BradleyGöransson, Peter

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