Thermoviscous effects on acoustic scattering by thermoelastic solid cylinders and spheres

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Abstract
This paper presents analytic solutions and numerical results of the scattering of plane sound waves from a thermoelastic circular cylinder and from a thermoelastic sphere in an infinite, thermoviscous fluid medium. The thermoelastic properties of the cylinder and the sphere and the viscosity and thermal conductivity of the surrounding fluid are taken into consideration in the solutions of the acoustic-scattering problems. We started with examining the acoustic field equations in thermoviscous fluids and in thermoelastic solids from the standpoints of continuum mechanics and thermodynamics, and then presented the normal-mode solutions to, and numerical examples of, the acoustic scattering by a single cylinder and a sphere. The acoustic parameters of interest are the farfield scattering pattern, the acoustic-radiation force, and the absorption and scattering cross sections. These parameters were first derived in closed forms and then evaluated numerically for a given set of material properties.

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