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Scattering coefficients for a sphere in a visco-acoustic medium for arbitrary partial wave order

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journal contribution
posted on 2020-06-08, 10:49 authored by M Mahbub Alam, Valerie PinfieldValerie Pinfield, Pierre Maréchal
Analytical solutions are reported for the scattering coefficients of a solid elastic sphere suspended in a viscous fluid for arbitrary partial wave order. Expressions are derived for incident compressional and shear wave modes, taking into account the viscosity of the surrounding fluid and resultant wave mode conversion. The long compressional wavelength limit is employed to simplify the derivation, whereas no restriction is placed on the shear wavelength in the fluid compared to the particle dimension. The analytical approximations are compared with numerical results obtained from matrix inversion of the boundary equations and agree within the validity domain of the solutions.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Chemical Engineering

Published in

Wave Motion

Volume

97

Issue

September 2020

Publisher

Elsevier BV

Version

  • AM (Accepted Manuscript)

Rights holder

© Elsevier

Publisher statement

This paper was accepted for publication in the journal Wave Motion and the definitive published version is available at https://doi.org/10.1016/j.wavemoti.2020.102589

Acceptance date

2020-05-18

Publication date

2020-05-30

Copyright date

2020

ISSN

0165-2125

Language

  • en

Depositor

Dr Valerie Pinfield Deposit date: 6 June 2020

Article number

102589

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