Abstract
Numerical simulation of a free-molecular gas flow through plane microchannel with walls performing forced curving motion according to sine law is presented. It is shown that the probability of gas molecules to pass through the channel significantly depends on relation between wave speed of walls harmonic oscillations and characteristic thermal speed of gas molecules. It is then shown how this effect can be utilized for gas separation, and the comprehensive study of the influence of the main parameters (channel width and length, wave amplitude and length, etc.) on the magnitude of effect is performed.
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References
Akkaya VR, Kandemir I (2015) Event-driven molecular dynamics simulation of hard-sphere gas flows in microchannels. Mathematical Problems in Engineering. 10.1155/2015/842837. URL: http://dx.doi.org/10.1155/2015/842837
Bannerman MN, Sargant R, Lue L (2011) Dynamo: a free o(n) general event-driven molecular dynamics simulator. J Comput Chem 32(15):3329–3338. https://doi.org/10.1002/jcc.21915
Bird GA (1994) Molecular gas dynamics and the direct simulation of gas flows. Clarendon. URL: https://books.google.it/books?id=Bya5QgAACAAJ&hl=en. Accessed 21 May 2018
Cao BY, Sun J, Chen M, Guo ZY (2009) Molecular momentum transport at fluid-solid interfaces in mems/nems: a review. Int J Mol Sci 10(11):4638–4706. https://doi.org/10.3390/ijms10114638
Devendran C, Gunasekara NR, Collins DJ, Neild A (2016) Batch process particle separation using surface acoustic waves (saw): integration of travelling and standing saw. RSC Adv 6(7):5856–5864. https://doi.org/10.1039/C5RA26965B
Ding X, Lin SCS, Kiraly B, Yue H, Li S, Chiang IK, Shi J, Benkovic SJ, Huang TJ (2012) On-chip manipulation of single microparticles, cells, and organisms using surface acoustic waves. Proc Natl Acad Sci 109(28):11105–11109. https://doi.org/10.1073/pnas.1209288109
Donev A, Garcia AL, Alder BJ (2008) Stochastic event-driven molecular dynamics. J Comput Phys 227(4):2644–2665. https://doi.org/10.1016/j.polymer.2013.05.075
Friend J, Yeo LY (2011) Microscale acoustofluidics: microfluidics driven via acoustics and ultrasonics. Rev Modern Phys 83(2):647. https://doi.org/10.1103/RevModPhys.83.647
Kolomenskii AA, Lioubimov V, Jerebtsov S, Schuessler H (2003) Nonlinear surface acoustic wave pulses in solids: laser excitation, propagation, interactions. Rev Sci Instrum 74(1):448–452. https://doi.org/10.1063/1.1517188
Kosyanchuk V, Yakunchikov A, Bryukhanov I, Konakov S (2017) Numerical simulation of novel gas separation effect in microchannel with a series of oscillating barriers. Microfluid Nanofluid 21(7):116. https://doi.org/10.1007/s10404-017-1947-y
Kovalev V, Yakunchikov A, Kosiantchouk V (2015) Study of gas separation by the means of high-frequency membrane oscillations. Acta Astronaut 116:282–285. https://doi.org/10.1016/j.actaastro.2015.07.021
Lomonosov A, Hess P (1996) Laser excitation and propagation of nonlinear surface acoustic wave pulses. Nonlinear Acoust Perspect 106–111
Maxwell JC (1879) On stresses in rarified gases arising from inequalities of temperature. Philos Trans R Soc Lond 170:231–256
Sadovnichy V, Tikhonravov A, Voevodin V, Opanasenko (2013) V /“lomonosov/”: Supercomputing at moscow state university. Contemporary high performance computing: from Petascale toward Exascale pp. 283–307. URL: https://istina.msu.ru/publications/article/3827487/. Accessed 21 May 2018
Shi J, Ahmed D, Mao X, Lin SCS, Lawit A, Huang TJ (2009) Acoustic tweezers: patterning cells and microparticles using standing surface acoustic waves (ssaw). Lab Chip 9(20):2890–2895. https://doi.org/10.1039/B910595F
Shi J, Mao X, Ahmed D, Colletti A, Huang TJ (2008) Focusing microparticles in a microfluidic channel with standing surface acoustic waves (ssaw). Lab Chip 8(2):221–223. https://doi.org/10.1039/B716321E
Valentini P, Schwartzentruber TE (2009) A combined event-driven/time-driven molecular dynamics algorithm for the simulation of shock waves in rarefied gases. J Comput Phys 228(23):8766–8778. https://doi.org/10.1016/j.jcp.2009.08.026
Yakunchikov A, Kovalev V, Kosiantchouk V (2015) Free-molecular gas flow through the oscillating membrane. Microfluid Nanofluid 18(5–6):1039–1043. https://doi.org/10.1007/s10404-014-1493-9
Acknowledgements
The research is carried out using the equipment of the shared research facilities of HPC computing resources at Lomonosov Moscow State University Sadovnichy et al. (2013) and Joint Supercomputer Center of the Russian Academy of Sciences. This work is supported by the Russian Science Foundation (Grant number 17-71-10227).
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Kosyanchuk, V.V., Yakunchikov, A.N. Simulation of gas separation effect in microchannel with moving walls. Microfluid Nanofluid 22, 60 (2018). https://doi.org/10.1007/s10404-018-2079-8
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DOI: https://doi.org/10.1007/s10404-018-2079-8