NDLI: Modeling Steady Acoustic Fields Bounded in Cavities with Geometrical Imperfections

Content Provider	Springer Nature Link
Author	Albo, P. A. Giulia Gavioso, R. M. Benedetto, G.
Copyright Year	2010
Abstract	A mathematical method is derived within the framework of classical Lagrangian field theory, which is suitable for the determination of the eigenstates of acoustic resonators of nearly spherical shape. The method is based on the expansion of the Helmholtz differential operator and the boundary condition in a power series of a small geometrical perturbation parameter $${\epsilon}$$ . The method extends to orders higher than $${\epsilon^2}$$ the calculation of the perturbed acoustic eigenvalues, which was previously limited by the use of variational formalism and the methods of Morse and Ingard. A specific example is worked out for radial modes of a prolate spheroid, with the frequency perturbation calculated to order $${\epsilon^3}$$ . A possible strategy to tackle the problem of calculating the acoustic eigenvalues for cavities presenting non-smooth geometrical imperfections is also described.
Starting Page	1248
Ending Page	1258
Page Count	11
File Format	PDF
ISSN	0195928X
Journal	International Journal of Thermophysics
Volume Number	31
Issue Number	7
e-ISSN	15729567
Language	English
Publisher	Springer US
Publisher Date	2010-07-27
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Acoustic eigenvalues Quasi-spherical resonators Shape perturbation theory Physical Chemistry Mechanics Condensed Matter Physics Industrial Chemistry/Chemical Engineering
Content Type	Text
Resource Type	Article
Subject	Condensed Matter Physics

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
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3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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