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

Content Provider	Springer Nature Link
Author	Lei, Junjun Glynne Jones, Peter Hill, Martyn
Copyright Year	2017
Abstract	Numerical simulations of acoustic streaming flows can be used not only to explain the complex phenomena observed in acoustofluidic manipulation devices, but also to predict and optimise their performances. In this paper, two numerical methods based on perturbation theory are compared in order to demonstrate their viability and applicability for modelling boundary-driven streaming flows in acoustofluidic systems. It was found that the Reynolds stress method, which predicts the streaming fields from their driving terms, can effectively resolve both the inner and outer streaming fields and can be used to demonstrate the driving mechanisms of a broad range of boundary-driven streaming flows. However, computational efficiency typically limits its useful application to two-dimensional models. We highlight the close relationship between the classical boundary-driven streaming vortices and the rotationality of the Reynolds stress force field. The limiting velocity method, which ignores the acoustic boundary layer and solves the outer streaming fields by applying the ‘limiting velocities’ as boundary conditions, is more computationally efficient and can be used for predicting three-dimensional outer streaming fields and provide insight into their origins, provided that the radius of curvature of the channel surfaces is much greater than the acoustic boundary layer thickness ( $$\delta_{v}$$ ). We also show that for the limiting velocity method to be valid the channel scales must exceed a value of approximately 100 $$\delta_{v}$$ (for an error of ~5% on the streaming velocity magnitudes) for the case 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.
Starting Page	1
Ending Page	11
Page Count	11
File Format	PDF
ISSN	16134982
Journal	Microfluidics and Nanofluidics
Volume Number	21
Issue Number	2
e-ISSN	16134990
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2017-02-07
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Acoustic streaming Boundary-driven streaming Reynolds stress method Limiting velocity method Acoustofluidics Acoustic boundary layer Engineering Fluid Dynamics Biomedical Engineering Analytical Chemistry Nanotechnology and Microengineering
Content Type	Text
Resource Type	Article
Subject	Nanoscience and Nanotechnology Materials Chemistry Condensed Matter Physics Electronic, Optical and Magnetic Materials

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