Scattering coefficients for a sphere in a visco-acoustic medium for arbitrary partial wave order |
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| Institution: | 1. Dipartimento di Scienze di Base e Applicate per l’Ingegneria, Sapienza Università di Roma, via A. Scarpa 16, I-00161 Roma, Italy;2. Laboratoire de Mathématiques et Applications, UMR 7348 Université de Poitiers & CNRS, Téléport 2 – BP 30179 Boulevard Marie et Pierre Curie, F-86962 Technopole du Futuroscope de Poitiers Cedex, France;3. Delft Institute of Applied Sciences, Technical University Delft, Mekelweg 4, 2628 CD Delft, The Netherlands;4. Institute of Mathematics, University of Utrecht, Budapestlaan 6, 3584 CD Utrecht, The Netherlands;1. School of Chemical Engineering, Oklahoma State University, 423 Engineering North, Stillwater, OK 74078, United States;2. Department of Chemical and Biomolecular Engineering, Rice University, 6100 S. Main St., MS 362, Houston, TX 77005, United States;3. Chevron Energy Technology Company, 1400 Smith St., Houston, TX 77002, United States |
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| Abstract: | 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. |
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| Keywords: | Scattering coefficient Mode conversion Viscous fluid |
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