Acoustic radiation from a finite spherical source placed in fluid near a poroelastic sphere

Hasheminejad, Seyyed M.; Mehdizadeh, S.

doi:10.1007/bf02637209

Cited by 2 publications

(1 citation statement)

References 15 publications

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“…The ambient thermoviscous fluid is assumed to be boundless and the spherical source, which is supposed to be undergoing time-harmonic surface oscillations with the circular frequency ω, is placed at a (center-to-center) distance r 0 = (a + d + b) away from the thermoviscous sphere. Furthermore, the dynamics of the multi-scattering problem may be expressed in terms of appropriate scalar potentials 11 :…”

Section: Basic Equations and Field Expansionsmentioning

confidence: 99%

Computation of Acoustic Field Radiated by a Spherical Source Near a Thermoviscous Fluid Sphere

Hasheminejad

Pasdar

2007

J. Comp. Acous.

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Acoustic radiation from a spherical source, vibrating with an arbitrary, axisymmetric, timeharmonic surface velocity distribution, while immersed near a thermoviscous fluid sphere suspended in an unbounded viscous thermally conducting fluid medium is computed. The formulation utilizes the appropriate wave field expansions and boundary conditions along with the translational addition theorem for spherical wave functions to develop a closed-form solution in form of infinite series. The prime objective is to investigate the thermoviscous loss effects on acoustic radiation and its associated field quantities. The analytical results are illustrated with a numerical example in which the spherical source, that may vibrate either in a monopole-like or a dipole-like mode, is suspended in a thermoviscous fluid medium near an equal-sized viscous thermally conducting fluid sphere. To avoid numerical difficulties normally arising in process of solving thermoviscous radiation/scattering problems in the frequency range of interest, a basic multiple precision FORTRAN computation package was utilized in developing specialized codes for computing special mathematical functions including spherical Bessel functions of complex argument and performing large complex matrix manipulations on floating point numbers of arbitrarily high precision. The essential acoustic field quantities such as the modal acoustic radiation impedance load on the source, the radiated far-field pressure directivity pattern and the radiated on-axis pressure are evaluated and discussed for representative values of the parameters characterizing the system. Limiting cases are examined and excellent agreements with well known solutions are attained.

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Section: Basic Equations and Field Expansionsmentioning

confidence: 99%

Computation of Acoustic Field Radiated by a Spherical Source Near a Thermoviscous Fluid Sphere

Hasheminejad

Pasdar

2007

J. Comp. Acous.

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Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods

Schanz

2009

Applied Mechanics Reviews

164

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This article presents an overview on poroelastodynamic models and some analytical solutions. A brief summary of Biot’s theory and of other poroelastic dynamic governing equations is given. There is a focus on dynamic formulations, and the quasistatic case is not considered at all. Some analytical solutions for special problems, fundamental solutions, and Green’s functions are discussed. The numerical realization with two different methodologies, namely, the finite element method and the boundary element method, is reviewed.

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Acoustic radiation from a finite spherical source placed in fluid near a poroelastic sphere

Cited by 2 publications

References 15 publications

Computation of Acoustic Field Radiated by a Spherical Source Near a Thermoviscous Fluid Sphere

Computation of Acoustic Field Radiated by a Spherical Source Near a Thermoviscous Fluid Sphere

Poroelastodynamics: Linear Models, Analytical Solutions, and Numerical Methods

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