Determination of liquid viscosity based on dual-frequency-band particle tracking

doi:10.1088/1674-1056/ad597e

Abstract An optical-tweezers-based dual-frequency-band particle tracking system was designed and fabricated for liquid viscosity detection. On the basis of the liquid viscosity dependent model of the particle's restricted Brownian motion with the Faxén correction taken into account, the liquid viscosity and optical trap stiffness were determined by fitting the theoretical prediction with the measured power spectral densities of the particle's displacement and velocity that were derived from the dual-frequency-band particle tracking data. When the SiO$_{2}$ beads were employed as probe particles in the measurements of different kinds of liquids, the measurement results exhibit a good agreement with the reported results, as well as a detection uncertainty better than 4.6%. This kind of noninvasive economical technique can be applied in diverse environments for both in situ and ex situ viscosity detection of liquids.

Keywords: liquid viscosity optical tweezers dual-frequency-band particle tracking power spectral density

Received: 08 May 2024
Revised: 15 June 2024
Accepted manuscript online: 19 June 2024

PACS:	07.07.Df	(Sensors (chemical, optical, electrical, movement, gas, etc.); remote sensing)
	42.79.Pw	(Imaging detectors and sensors)

Fund: This work was supported by the National Natural Science Foundation of China (Grant No. 62175135), the Special Foundation of Local Scientific and Technological Development Guided by Central Government (Grant No. YDZJSX20231A006), and the Fundamental Research Program of Shanxi Province (Grant No. 202103021224025).

Corresponding Authors: Kuanshou Zhang, Yuanji Li
E-mail: kuanshou@sxu.edu.cn;liyuanji@sxu.edu.cn

Cite this article:

Lihua Yan(闫丽华), Boyin Xue(薛博引), Yuanji Li(李渊骥), Jinxia Feng(冯晋霞), Xingkang Wu(武兴康), and Kuanshou Zhang(张宽收) Determination of liquid viscosity based on dual-frequency-band particle tracking 2024 Chin. Phys. B 33 090701

[1] Huang H, Dai C, Shen H, Gu M, Wang Y, Liu J, Chen L and Sun L 2020 Int. J. Mol. Sci. 21 6248
[2] Koga S, Sekiya H, Kondru N, Ross O A and Dickson D W 2021 Mol. Neurodegener. 16 83
[3] Hu L, Yang J, Zhang C F, Pan J, Shen S T, Su L P, Shen X B, He J and Wang H 2024 Sens. Actuators B 398 134776
[4] Zhang Y, Wu X, Wang Y, Zhu S, Gao B Z and Yuan X C 2014 Laser Phys. 24 065601
[5] Efremov Y M, Okajima T and Raman A 2020 Soft Matter 16 64
[6] D’Avino G and Maffettone P L 2015 J. Non-Newton. Fluid. Mech. 215 80
[7] Shin S and Keum D 2003 J. Food Eng. 58 5
[8] Zhang Y, He M, Xue R, Wang X, Zhong Q and Zhang X A 2008 Int. J. Thermophys. 29 483
[9] Madan M and Mazumdar D 2004 Met. Mater. Trans. B 35 805
[10] Schumacher K, White J and Downey J 2015 Met. Mater. Trans B 46 119
[11] Lee I, Park K and Lee J 2012 Rev. Sci. Inst. 83 116106
[12] Pimentel-Rodas A, Galicia-Luna L and Castro-Arellano J 2016 J. Chem. Eng. Data 61 45
[13] Parker W C, Chakraborty N, Vrikkis R, Elliott, G, Smith S and Moyer P J 2010 Opt. Express 18 16607
[14] Xiong S, Yin X, Wang Q, Xia J, Chen Z, Lei H, Yan X, Zhu A, Qiu F, Chen B, Wang Q, Zhang L and Zhang K 2024 Appl. Spectrosc. 78 139
[15] Dumitras D C, Petrus M, Bratu A M and Popa C 2020 Molecules 25 1728
[16] Lou C G and Xing D 2010 Appl. Phys. Lett. 96 211102
[17] Zhou Y, Liu C, Huang X, Qian X, Wang L and Lai P 2021 Opt. Express 12 7139
[18] Tolić-Nørrelykke I M, Munteanu E L, Thon G, Oddershede L and Berg- Sørensen K 2004 Phys. Rev. Lett. 93 078102
[19] Lamperska W, Masajada J, Drobczyński S and Gusin P 2017 Opt. Lasers Eng. 94 82
[20] Tassieri M, Giudice F, Robertson E, Jain N, Fries B, Wilson R, Glidle A, Greco F, Netti P, Maffettone P, Bicanic T and Cooper J 2015 Sci. Rep. 5 8831
[21] Liu J, Wu X Y, Feng Y M, Zheng M and Li Z Y 2023 Chin. Phys. B 32 108704
[22] Nemet B A and Cronin-Golomb M 2003 Appl. Opt. 42 1820
[23] Korzeniewska A K and Drobczyński S 2023 Opt. Lasers Eng. 164 107516
[24] Keen S, Yao A, Leach J, Di L R, Saunter C, Love G, Cooper J and Padgett M 2009 Lab on a Chip 9 2059
[25] Oddershede L 2012 Nat. Chem. Biol. 8 879
[26] Vaippully R, Ramanujan V, Bajpai S and Roy B 2020 J. Phys.: Condens. Matter 32 235101
[27] Tassieri M 2019 Curr. Opin. Colloid Interface Sci. 43 39
[28] Madsen L S, Waleed M, Casacio C A, Terrasson A, Stilgoe A B, Taylor M A and Bowen W P 2021 Nat. Photon. 15 386
[29] Yan L H, Li Y J, Feng J X and Zhang K S 2021 Microw. Opt. Technol. Lett. 63 2085
[30] Ma Y Y, Li Y J, Feng J X and Zhang K S 2018 Opt. Express 26 1538
[31] Clercx H and Schram P 1992 Phys. Rev. A 46 1942
[32] Huang R X, Chavez I, Taute K, Lukić B, Jeney S, Raizen M G and Florin E L 2011 Nat. Phys. 7 576
[33] Yang G, Zheng T, Cheng Q H and Zhang H C 2024 Chin. Phys. B 33 044701
[34] Berg-Sørensen K and Flyvbjerg H 2004 Rev. Sci. Instrum. 75 594
[35] Boussinesq J 1885 C. R. Acad. Sci. Paris 100 935
[36] Franosch T, Grimm M, Belushkin M, Mor F M, Foffi G, Forró L and Jeney S 2011 Nature 478 85
[37] Korson L, Drost-Hansen W and Millero F J 1969 J. Phys. Chem. 73 34
[38] Gości ńska K, Shahmoradi-Ghahe S, Domogała S and Topf U 2020 Genes 11 1432
[39] Viswanath D S, Ghosh T K, Prasad D H, Dutt N V and Rani K Y 2007 Viscosity of Liquids: Theory, Estimation, Experiment, and Data (New York: Springer) p. 160
[40] Zhao T X, Zhang J B, Guo B, Zhang F, Sha F, Xie X H and Wei X H 2015 J. Mol. Liq. 207 315
[41] Puchkov E O 2013 Biochem. Moscow Suppl. Ser. A 7 270
[42] Watson M L, Brown D L, Stilgoe A B, Stow J L and RubinszteinDunlop H 2022 Optica 9 1066
[43] Mas J, Richardson A C, Reihani S N, Oddershede L B and BergSørensen K 2013 Phys. Biol. 10 046006

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