Acoustic levitation of a rigid nano-sphere at non-continuum conditions

We study the steady force acting on a rigid spherical particle immersed in an ideal gas and impinged by a standing acoustic wave. The acoustic wavelength and particle radius are assumed much larger and smaller, respectively, than the molecular mean-free path. To analyse the system, an asymptotic sch...

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Main Authors: Ben-Ami, Y, Manela, A
Format: Journal article
Language:English
Published: Cambridge University Press 2021
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author Ben-Ami, Y
Manela, A
author_facet Ben-Ami, Y
Manela, A
author_sort Ben-Ami, Y
collection OXFORD
description We study the steady force acting on a rigid spherical particle immersed in an ideal gas and impinged by a standing acoustic wave. The acoustic wavelength and particle radius are assumed much larger and smaller, respectively, than the molecular mean-free path. To analyse the system, an asymptotic scheme is constructed, combining an inviscid continuum description in the far field with a free-molecular formulation for the near gas–surface interaction. The computation yields a closed-form expression for the steady acoustic force. The free-molecular solution is compared with a formerly derived result in the continuum regime (Doinkov, Proc. R. Soc. Lond. A, vol. 447, 1994, pp. 447–466), and the latter is found characteristically larger by an order of magnitude at a given ratio between the particle radius and the acoustic wavelength. Markedly, the size of the acoustic force at ballistic flow conditions may become up to four orders of magnitude larger than the typical gravitational force, suggesting the feasibility of nano-particle acoustic levitation.
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spelling oxford-uuid:d5117751-7a7a-478d-b5d4-202b8403ab602022-03-27T08:23:20ZAcoustic levitation of a rigid nano-sphere at non-continuum conditionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d5117751-7a7a-478d-b5d4-202b8403ab60EnglishSymplectic ElementsCambridge University Press2021Ben-Ami, YManela, AWe study the steady force acting on a rigid spherical particle immersed in an ideal gas and impinged by a standing acoustic wave. The acoustic wavelength and particle radius are assumed much larger and smaller, respectively, than the molecular mean-free path. To analyse the system, an asymptotic scheme is constructed, combining an inviscid continuum description in the far field with a free-molecular formulation for the near gas–surface interaction. The computation yields a closed-form expression for the steady acoustic force. The free-molecular solution is compared with a formerly derived result in the continuum regime (Doinkov, Proc. R. Soc. Lond. A, vol. 447, 1994, pp. 447–466), and the latter is found characteristically larger by an order of magnitude at a given ratio between the particle radius and the acoustic wavelength. Markedly, the size of the acoustic force at ballistic flow conditions may become up to four orders of magnitude larger than the typical gravitational force, suggesting the feasibility of nano-particle acoustic levitation.
spellingShingle Ben-Ami, Y
Manela, A
Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title_full Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title_fullStr Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title_full_unstemmed Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title_short Acoustic levitation of a rigid nano-sphere at non-continuum conditions
title_sort acoustic levitation of a rigid nano sphere at non continuum conditions
work_keys_str_mv AT benamiy acousticlevitationofarigidnanosphereatnoncontinuumconditions
AT manelaa acousticlevitationofarigidnanosphereatnoncontinuumconditions