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Collas, P.

Publications and source records attributed to Collas, P..

Acoustic levitation in the presence of gravity

The method of Gor'kov (1961) has been applied to derive general expressions for the total potential and force on a small spherical object in a resonant chamber in the presence of both acoustic and gravitational force fields. The levitation position is also determined in rectangular resonators for the simultaneous excitation of up to three acoustic modes, and the results are applied to the triple-axis acoustic levitator. The analysis is applied to rectangular, spherical, and cylindrical single-mode levitators that are arbitrarily oriented relative to the gravitational force field. Criteria are determined for isotropic force fields in rectangular and cylindrical resonators. It is demonstrated that an object will be situated within a volume of possible levitation positions at a point determined by the relative strength of the acoustic and gravitational fields and the orientation of the chamber relative to gravity.

Collas, P.↗

Acoustic radiation force on a particle in a temperature gradient

After deriving a general expression for the acoustic radiation force on a small spherical particle of radius R in a standing wave field in a temperature gradient, attention is given to the case of a particle in a long tube chamber having a temperature gradient along the axis of symmetry. A simplification of the analysis is obtained through the introduction of the mass flux density potential. A general expression is presented for the time-averaged acoustic force; results of the new sample positions and restoring forces for a plane-wave mode are compared to the homogeneous case.

Collas, P.↗

Acoustic radiation potential on a sphere in plane, cylindrical, and spherical standing wave fields

The method of Gor'kov is applied for deriving the acoustic radiation potential on a sphere in an arbitrary sound field. Generalized potential and force expressions are derived for arbitrary standing wave modes in rectangular, cylindrical, and spherical geometries for the case where the sphere radius is much smaller than the wavelength. Criteria for determining radiation-potential minima are derived and examples of characteristic spatial radiation-potential profiles are presented. Single modes that can sustain stable positioning are discussed for each geometry. The localizing force strengths for representative standing wave modes in the three geometries are also compared. The positioning of samples due to acoustic forces only are considered. However, the method developed is general and is extended to include gravity or other external forces.

Barmatz, M.↗