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Theoretical investigation of phase velocity, group velocity and attenuation of acoustic waves in a liquid-filled cylinder

Theoretical investigation of phase velocity, group velocity and attenuation of acoustic waves in a liquid-filled cylinder
Theoretical investigation of phase velocity, group velocity and attenuation of acoustic waves in a liquid-filled cylinder
Theoretical investigations are undertaken with the propagation of sound inside the tube filled with liquid. Previous theoretical works by Del Grosso's, Lafleur and Shields, and Elvira-Segura are here reviewed and extended to the complex domain in
order to predict the attenuation, as well as the sound speed, of the modes as a function of frequency. Phase velocity, group velocity, the attenuation, and cut-off frequencies of modes are obtained for the water-filled PMMA (Perspex) tube of internal radius, b=4.445 cm, and thickness, h=0.5 cm in the range of the wavenumber-radius product, k b 1 , up to 18. The theory was then applied to the case of a stainless-steel pipe filled with mercury having the dimensions as used in the Spallation Neutron Source at Oak Ridge National Laboratory, Tennessee
University of Southampton
Baik, K.
7b09d8e1-38a7-4f55-ae5a-1e6bea5bcb3f
Jiang, J.
b034e623-ea89-4b17-88e3-4276c260db99
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae
Baik, K.
7b09d8e1-38a7-4f55-ae5a-1e6bea5bcb3f
Jiang, J.
b034e623-ea89-4b17-88e3-4276c260db99
Leighton, T.G.
3e5262ce-1d7d-42eb-b013-fcc5c286bbae

Baik, K., Jiang, J. and Leighton, T.G. (2009) Theoretical investigation of phase velocity, group velocity and attenuation of acoustic waves in a liquid-filled cylinder (ISVR Technical Report 329) Southampton. University of Southampton 48pp.

Record type: Monograph (Project Report)

Abstract

Theoretical investigations are undertaken with the propagation of sound inside the tube filled with liquid. Previous theoretical works by Del Grosso's, Lafleur and Shields, and Elvira-Segura are here reviewed and extended to the complex domain in
order to predict the attenuation, as well as the sound speed, of the modes as a function of frequency. Phase velocity, group velocity, the attenuation, and cut-off frequencies of modes are obtained for the water-filled PMMA (Perspex) tube of internal radius, b=4.445 cm, and thickness, h=0.5 cm in the range of the wavenumber-radius product, k b 1 , up to 18. The theory was then applied to the case of a stainless-steel pipe filled with mercury having the dimensions as used in the Spallation Neutron Source at Oak Ridge National Laboratory, Tennessee

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Published date: November 2009

Identifiers

Local EPrints ID: 79192
URI: https://eprints.soton.ac.uk/id/eprint/79192
PURE UUID: 47ff103e-7155-4fa3-9b21-70f66689ee13
ORCID for T.G. Leighton: ORCID iD orcid.org/0000-0002-1649-8750

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Date deposited: 19 Mar 2010
Last modified: 06 Jun 2018 13:08

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