Theoretical study of time-dependent, ultrasound-induced acoustic streaming in microchannels

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
P B Muller, H Bruus

Abstract

Based on first- and second-order perturbation theory, we present a numerical study of the temporal buildup and decay of unsteady acoustic fields and acoustic streaming flows actuated by vibrating walls in the transverse cross-sectional plane of a long straight microchannel under adiabatic conditions and assuming temperature-independent material parameters. The unsteady streaming flow is obtained by averaging the time-dependent velocity field over one oscillation period, and as time increases, it is shown to converge towards the well-known steady time-averaged solution calculated in the frequency domain. Scaling analysis reveals that the acoustic resonance builds up much faster than the acoustic streaming, implying that the radiation force may dominate over the drag force from streaming even for small particles. However, our numerical time-dependent analysis indicates that pulsed actuation does not reduce streaming significantly due to its slow decay. Our analysis also shows that for an acoustic resonance with a quality factor Q, the amplitude of the oscillating second-order velocity component is Q times larger than the usual second-order steady time-averaged velocity component. Consequently, the well-known criterion v_{1}^{}≪c_...Continue Reading

References

Feb 1, 2003·The Journal of the Acoustical Society of America·Mark F HamiltonEvgenia A Zabolotskaya
Jan 13, 2004·The Journal of the Acoustical Society of America·Mark F HamiltonEvgenia A Zabolotskaya
May 9, 2012·Ultrasonics·Mauricio Hoyos, Angélica Castro
Dec 12, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Rune BarnkobHenrik Bruus
Sep 17, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·P B MullerH Bruus
Nov 29, 2013·Lab on a Chip·Junjun LeiPeter Glynne-Jones
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peter Barkholt Muller, Henrik Bruus

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Citations

Feb 27, 2018·Physical Review Letters·Jonas T KarlsenHenrik Bruus
Jun 13, 2020·Physical Review Letters·Jacob S Bach, Henrik Bruus
Jan 5, 2018·Lab on a Chip·Umesh S JonnalagaddaRahul S Tare
Sep 6, 2018·The Journal of the Acoustical Society of America·Jacob S Bach, Henrik Bruus
Oct 5, 2016·Micromachines·Nils Refstrup Skov, Henrik Bruus
Mar 16, 2019·Proceedings of the National Academy of Sciences of the United States of America·Shuai YueJiming Bao
Mar 15, 2020·Physical Review. E·Jacob S Bach, Henrik Bruus
Aug 6, 2020·The Journal of the Acoustical Society of America·Amir TahmasebipourCarl Meinhart
Nov 21, 2020·Physical Review. E·Chuanyu ZhangPhilippe Brunet
May 24, 2021·Ultrasonics Sonochemistry·Tianquan TangLixi Huang
Jul 10, 2021·The Journal of the Acoustical Society of America·Bjørn G Winckelmann, Henrik Bruus
Sep 11, 2021·Scientific Reports·Elnaz Attar Jannesar, Hossein Hamzehpour

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