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Scattering of ultrasonic shock waves in suspensions of silica nanoparticles
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10.1121/1.3533723
/content/asa/journal/jasa/129/3/10.1121/1.3533723
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/3/10.1121/1.3533723

Figures

Image of FIG. 1.
FIG. 1.

Particles size distribution measured via electron microscopy (circles) and fitted with a log-normal distribution (solid line).

Image of FIG. 2.
FIG. 2.

(Color online) Sketch of the experimental setup.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Temporal waveform of the signal measured at the entrance of the cylinder, (b) Zoom on one period, (c) Signal Fourier transform, and (d) Spatial extension of acoustic beam: cross section of the first harmonic. Colorbar: amplitude in MPa.

Image of FIG. 4.
FIG. 4.

(Color online) (a) Temporal waveform of the signal measured at the entrance of the cylinder along Ox, (b) temporal waveform of the signal measured at the entrance of the cylinder along Oy, (c) amplitude along Ox, and (d) amplitude along Oy. The origin is located at the center of the incident wavefront. Colorbar: amplitude in MPa.

Image of FIG. 5.
FIG. 5.

(Color online) (a) Temporal waveform of the signal measured at the exit of the cylinder before (black line) and after (gray line) averaging. (b) Amplitude (in MPa) of the first harmonic over the beam cross section. Rings are due to the interferences between the direct wave and the signal diffracted at the edge of the cylinder.

Image of FIG. 6.
FIG. 6.

(Color online) Spatial extension of acoustic beam. Cross section at the entrance of the cylinder: (a) the tenth harmonic and (b) the twentieth harmonic. Cross section at the exit of the cylinder: (c) the tenth harmonic and (d) the twentieth harmonic. Colorbar: amplitude in kPa.

Image of FIG. 7.
FIG. 7.

Comparison of visco-inertial, thermal, and overall effects due to the presence of the particles with the classical thermo-viscous dissipation in the corresponding liquid. (a) Comparison of attenuation in suspension A (69 nm). (b) Comparison of attenuation in suspension B (33 nm). (c) Comparison of phase velocity in suspension A (69 nm). (d) Comparison of phase velocity in suspension B (33 nm).

Image of FIG. 8.
FIG. 8.

(a) First interface water/membrane/suspension, dotted lines: transmission coefficient through the water/membrane/suspension interfaces. (b) Second interface suspension/membrane/water. Solid lines are the same, with the suspension replaced by the reference solution.

Image of FIG. 9.
FIG. 9.

Comparison of the signals obtained experimentally and numerically after propagation in suspension A (69 nm) and in the reference solution (without particles). (a) Temporal signal: zoom on the acoustical shock at the center of the time waveform. (b) Fourier transforms of the experimental signals. (c) Fourier transforms of the computed signals. Simulations have been performed with an average size of the particles equal to 69 nm.

Image of FIG. 10.
FIG. 10.

Same as Fig. (9) for suspension B (33 nm). Simulations have been performed with an average size of the particles equal to 36 nm, which gives the best agreement (see Sec. IV B).

Image of FIG. 11.
FIG. 11.

Comparison of computed and measured “nonlinear” attenuations, that is, the modulus [measured in decibels (dB)] of the ratio between the signal propagated in the suspension and in the reference solution. (a) Suspension A (69 nm) and (b) Suspension B (33 nm).

Image of FIG. 12.
FIG. 12.

Numerical comparison of the influence of the various different effects on nonlinear attenuation measured in decibels. (a) Suspension A: simulations are performed for an average size of the particles of 69 nm. (b) Suspension B: simulations are performed for an average size of the particles of 33 nm.

Tables

Generic image for table
TABLE I.

Composition of solutions I and II.

Generic image for table
TABLE II.

Mass composition of the solutions after chemical reaction.

Generic image for table
TABLE III.

Physical properties of the liquid phase (at 18 °C).

Generic image for table
TABLE IV.

Properties of the particles.

Generic image for table
TABLE V.

Characteristic frequencies.

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/content/asa/journal/jasa/129/3/10.1121/1.3533723
2011-03-09
2014-04-19
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Scattering of ultrasonic shock waves in suspensions of silica nanoparticles
http://aip.metastore.ingenta.com/content/asa/journal/jasa/129/3/10.1121/1.3533723
10.1121/1.3533723
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