The possibility of efficient calculation of the scattering amplitude caused by an inclusion in a complicated incident field

Sharfarets, B. P.

doi:10.1134/s1063771010020041

Cited by 3 publications

(5 citation statements)

References 3 publications

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“…The Green's function of the free space is given by the first term in Eq. (14), and the field by the remaining terms. The multipole expansion of the field has the form (1b), in which the multi pole moments are given by the relation (15) The multipole moments (4) …”

Section: The Possibility Of Determining the Shift In The Two Dimensiomentioning

confidence: 99%

“…We demonstrate this proposition for the case of a point quadrupole near an absolutely solid cylinder using the above approach. The Green's function satisfying the condition of the zeroed normal derivative on a circumference with radius a and the center at the origin of the coordinate system has the form (14) where = is the coordinate of a point inversely conjugate to the location point of the source. The Green's function of the free space is given by the first term in Eq.…”

Section: The Possibility Of Determining the Shift In The Two Dimensiomentioning

confidence: 99%

“…Different approaches for describing the sound field scattering are presented in [14]. Two fundamental fac tors have been revealed in the present investigation for the case of low frequency acoustic radiation by turbu lence near a circular cylinder in the two dimensional incompressible formulation.…”

Section: Introductionmentioning

confidence: 99%

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Sound radiation by distributed quadrupole sources near rigid bodies

Ostrikov

2012

Acoust. Phys.

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An approach is proposed to describe the multipole structure of the sound field radiated as a tur bulent jet streamlines a transverse circular cylinder of small diameter, which makes it possible to study the experimentally revealed effect of the dipole radiation shift. It is shown that different methods of acoustic mea surements can lead to different determinations of the dipole radiation shift. It is demonstrated that to cor rectly describe the effect of the dipole radiation shift it is necessary to take into account the phase character istics of different sources in the field of a turbulent flow; i.e., taking into account the state of distribution of the source is of fundamental importance for calculating the dipole radiation shift.Keywords: aerodynamic noise, turbulence noise in the presence of boundaries, multipole expansion, dipole shift, azimuthal decomposition technique

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Section: The Possibility Of Determining the Shift In The Two Dimensiomentioning

confidence: 99%

Section: The Possibility Of Determining the Shift In The Two Dimensiomentioning

confidence: 99%

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Sound radiation by distributed quadrupole sources near rigid bodies

Ostrikov

2012

Acoust. Phys.

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“…The coefficients Ã l (x) are determined from Eqs. (2) and (3), where functions F l (x) involved in Eq. (3) take into account the loss in the inclusion.…”

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confidence: 99%

“…In particular, in [1][2][3], a calculation method is described for fields and inclusions in an ideal fluid in the general case. Still, various particular cases of fields and inclusions remain of interest to researchers.…”

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confidence: 99%

Radiation pressure on a lossy sphere in a quasi-standing plane wave

2012

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In the literature, different types of primary fields are described for which radiation forces applied to inclusions of simple and complex shapes are calcu lated. In particular, in [1-3], a calculation method is described for fields and inclusions in an ideal fluid in the general case. Still, various particular cases of fields and inclusions remain of interest to researchers. The most interesting cases are those of primary fields in the form of traveling and standing plane waves, as well as a mixed field formed by a traveling plane wave and a standing one (a quasi standing wave). The most popu lar type of inhomogeneity is a spherical inclusion. The expressions for the radiation pressure (RP) on a spher ical inclusion in a quasi standing wave was given in, e.g., [4][5][6]. However, it should be noted that, in the absence of axial symmetry in the problem, the approach described in [4,5] is not suitable for calcu lating the RP in a quasi standing wave and it is neces sary to use the approach described in [1,3].In a quasi standing wave, two RP components arise: one of them is caused by the traveling compo nent of the wave, and the other, by the standing com ponent [4][5][6]. In [7], the filtering properties of a quasi standing wave were pointed out. These proper ties are caused by the fact that, at a fixed frequency, in such a wave (even in the case of a fairly small traveling coefficient in the initial field), an increase in the wave parameter x = ka (k is the wavenumber in the sur rounding space and a is the radius of the spherical inclusion) is accompanied by the appearance of inter vals of the size a within which the force caused by the traveling wave component begins to predominate over the force caused by the standing component. This may lead to the situation where, at a fixed frequency, the inclusions that are simultaneously present in the liquid and are characterized by identical properties but dif ferent radii will either concentrate at the nodes and antinodes of the standing field component or move along the wave vector of the traveling wave compo nent, depending on the interval of a within which the given particle falls.In [7], we considered the problem for a lossless sphere. However, for the case of an ideal surrounding medium and lossless particles, the zones where the forces caused by the traveling wave component pre dominate appear when the particle size is relatively large and this case is of little interest in practice. The next natural step is to take into consideration the effect of loss on the process under study. The simplest case is that of loss in the inclusions. In connection with this, we note [8], in which the RP in a plane traveling wave was calculated for a lossy elastic sphere at a fixed radius of the inclusion and a variable frequency. On the basis of numerical experiments, it was found that, in the case of lossy particles, the RP is greater.The purpose of the present study is to further inves tigate the filtering properties of a quasi standing wave in an ideal medium in the presence of l...

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Numerical simulation of wave processes in solid and gaseous media based on the particle dynamics

Sukhanov

Kuzovova

2020

J. Phys.: Conf. Ser.

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A method is proposed for the numerical simulation of acoustic processes and the motion of solids in gases based on the representation of media in the form of multiple particles. The behavior of particles is described by Newton’s equations of motion, and the strength of the interaction between particles depends on the distance between them. For gas particles, only the repulsive force is considered, and for particles of a solid force interaction ensures the equilibrium existence of a body-centered cubic lattice. The model allows one to calculate the propagation of acoustic waves and their effect on solids in a gaseous medium.

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The possibility of efficient calculation of the scattering amplitude caused by an inclusion in a complicated incident field

Cited by 3 publications

References 3 publications

Sound radiation by distributed quadrupole sources near rigid bodies

Sound radiation by distributed quadrupole sources near rigid bodies

Radiation pressure on a lossy sphere in a quasi-standing plane wave

Numerical simulation of wave processes in solid and gaseous media based on the particle dynamics

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