Comparing methods for the modelling of boundary-driven streaming in acoustofluidic devices

Lei, Junjun; Glynne‐Jones, Peter; Hill, Martyn

doi:10.1007/s10404-017-1865-z

Cited by 71 publications

(38 citation statements)

References 52 publications

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“…The simulation of these phenomena relies on numerically well-characterized acoustic fields, which, we believe, are provided by the model we present here. Possible model strategies to pursue in such calculations were outlined by Muller and Bruus [32], Muller et al [36] and Lei et al [59] for the case of acoustic streaming, by Silva and Bruus [60] for acoustic particle-particle interactions, and by Ley and Bruus [61] for hydrodynamic particle-particle interactions.…”

Section: Discussionmentioning

confidence: 99%

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Ley

Bruus

2017

Phys. Rev. Applied

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Acoustic traps are used to capture and handle suspended microparticles and cells in microfluidic applications. A particular simple and much-used acoustic trap consists of a commercially available, millimeter-sized, liquid-filled straight glass capillary actuated by a piezoelectric transducer. Here, we present a three-dimensional numerical model of the acoustic pressure field in the liquid coupled to the displacement field of the glass wall, taking into account mixed standing and traveling waves as well as absorption. The model explains the dynamical mechanism that leads to the formation of localized acoustic resonance modes in such a straight acoustic waveguide without any geometrical cavities in the axial direction of the capillary. The model further predicts that some of these modes are well suited for acoustic trapping, and it provides estimates for their frequencies and quality factors, the magnitude of the acoustic radiation force on a single test particle as a function of position, and the resulting acoustic retention force of the trap. We show that the model predictions are in agreement with published experimental results, and we discuss how improved and more-stable acoustic-trapping modes might be obtained using the model as a design tool.

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Section: Discussionmentioning

confidence: 99%

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Ley

Bruus

2017

Phys. Rev. Applied

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“…In most UPM devices where the dimensions of the fluid channel are much larger than the boundary layer thickness and, thus, only the outer streaming fields are usually of interest, the 2D or 3D boundary-driven streaming fields in the bulk of the fluid channel can be effectively predicted while using Nyborg's LVM. In such models, Equations (8) and (9) can be further simplified to [34]…”

Section: Numerical Modelmentioning

confidence: 99%

Numerical Simulation of Boundary-Driven Acoustic Streaming in Microfluidic Channels with Circular Cross-Sections

Lei

Cheng

2020

Micromachines

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While acoustic streaming patterns in microfluidic channels with rectangular cross-sections have been widely shown in the literature, boundary-driven streaming fields in non-rectangular channels have not been well studied. In this paper, a two-dimensional numerical model was developed to simulate the boundary-driven streaming fields on cross-sections of cylindrical fluid channels. Firstly, the linear acoustic pressure fields at the resonant frequencies were solved from the Helmholtz equation. Subsequently, the outer boundary-driven streaming fields in the bulk of fluid were modelled while using Nyborg’s limiting velocity method, of which the limiting velocity equations were extended to be applicable for cylindrical surfaces in this work. In particular, acoustic streaming fields in the primary (1, 0) mode were presented. The results are expected to be valuable to the study of basic physical aspects of microparticle acoustophoresis in microfluidic channels with circular cross-sections and the design of acoustofluidic devices for micromanipulation.

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“…The fundamental governing equations of acoustic streaming generated by acoustically oscillating sources in a finite chamber have been studied extensively in the literature [50][51][52]. Here, we briefly introduce the perturbation theory and a relevant simulation process for completeness.…”

Section: Theory and Simulationmentioning

confidence: 99%

“…of Equation 13, respectively, by the post-processing functions of COMSOL Multiphysics, which act as the driving force of acoustic streaming field in an acoustofluidic chamber. In the last step, the steady acoustic streaming was solved by the fluidic dynamics module 'laminar flow' of COMSOL Multiphysics, and the inertial term (Stokes flow) of the fluid flow could be neglected, for the reason that the inertial force ρ 0 (u 2 •∇)u 2 was usually negligible, compared with the mass source term and the volume force term in a low-speed acoustic streaming field [52]. Equations (12) and (13) were used in the calculation of acoustic streaming, and all of the fluidic boundaries were set to be no-slip boundary conditions.…”

Section: Theory and Simulationmentioning

confidence: 99%

Diversity of 2D Acoustofluidic Fields in an Ultrasonic Cavity Generated by Multiple Vibration Sources

et al. 2019

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Two-dimensional acoustofluidic fields in an ultrasonic chamber actuated by segmented ring-shaped vibration sources with different excitation phases are simulated by COMSOL Multiphysics. Diverse acoustic streaming patterns, including aggregation and rotational modes, can be feasibly generated by the excitation of several sessile ultrasonic sources which only vibrate along radial direction. Numerical simulation of particle trajectory driven by acoustic radiation force and streaming-induced drag force also demonstrates that micro-scale particles suspended in the acoustofluidic chamber can be trapped in the velocity potential well of fluid flow or can rotate around the cavity center with the circumferential acoustic streaming field. Preliminary investigation of simple Russian doll- or Matryoshka-type configurations (double-layer vibration sources) provide a novel method of multifarious structure design in future researches on the combination of phononic crystals and acoustic streaming fields. The implementation of multiple segmented ring-shaped vibration sources offers flexibility for the control of acoustic streaming fields in microfluidic devices for various applications. We believe that this kind of acoustofluidic design is expected to be a promising tool for the investigation of rapid microfluidic mixing on a chip and contactless rotational manipulation of biosamples, such as cells or nematodes.

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Comparing methods for the modelling of boundary-driven streaming in acoustofluidic devices

Abstract: presented in this paper. Comparisons of these two numerical methods can provide effective guidance for researchers in the field of acoustofluidics on choosing appropriate methods to predict boundary-driven streaming fields in the design of acoustofluidic particle manipulation devices.

Cited by 71 publications

References 52 publications

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Three-Dimensional Numerical Modeling of Acoustic Trapping in Glass Capillaries

Numerical Simulation of Boundary-Driven Acoustic Streaming in Microfluidic Channels with Circular Cross-Sections

Diversity of 2D Acoustofluidic Fields in an Ultrasonic Cavity Generated by Multiple Vibration Sources

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