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Measurement of dynamic wetting using phase-shifting imaging ellipsometer: comparison of pure solvent and nanoparticle suspension on film thickness profile, apparent contact angle, and precursor film length

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Abstract

Wetting is a fundamental and important phenomenon that is encountered in various engineering processes, and particularly, the understanding of mesoscopic dynamic wetting of not only pure liquids but also suspensions with nanoparticles is required with the recent miniaturization of devices. Therefore, it is important to establish a technique to precisely measure the dynamic behavior of liquid thin films near the three-phase contact line. In the present study, the mesoscopic wetting behavior of nonvolatile polydimethylsiloxane (PDMS, 20 cSt) and a PDMS suspension containing PDMS-modified SiO2 nanoparticles at a concentration of 1 wt% is measured using a phase-shifting imaging ellipsometer (PSIE) developed in our previous study, although the aggregates of nanoparticles are formed in the suspension. The PSIE can measure the two-dimensional thickness profile of liquid thin films from nanometer to micrometer scales. From the measured thickness profiles, we investigate the effect of the suspended nanoparticles on the apparent contact angle θa and precursor film length Lp. The dependence of θa and Lp on the velocity of contact line U ranging from 10–8 to 10–6 m/s is characterized. The contact angles of both fluids reflect the Cox–Voinov law, i.e., the θa is proportional to U1/3. At the same U, the θa of the suspension is higher than that of pure PDMS. The Lp of both fluids is proportional to U−1 and is the same at the same U. Furthermore, the Lp and thickness profiles at the nanometer scale are consistent with adiabatic precursor film theory.

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References

  • Aspnes DE, Studna A (1983) Dielectric functions and optical parameters of Si, Ge, GaP, GaAs, GaSb, InP, InAs, and InSb from 1.5 to 6.0 ev. Phys Rev B 27:985–1009

    Article  Google Scholar 

  • Azzam RM, Bashara NM (1987) Ellipsometry and polarized light. North-Holland

    Book  Google Scholar 

  • Beaglehole D (1989) Profiles of the precursor of spreading drops of siloxane oil on glass, fused silica, and mica. J Phys Chem 93:893–899

    Article  Google Scholar 

  • Bhuiyan MHU, Saidur R, Mostafizur RM, Mahbubul IM, Amalina MA (2015) Experimental investigation on surface tension of metal oxide–water nanofluids. Int Commun Heat Mass Transf 65:82–88

    Article  Google Scholar 

  • Cazabat AM, Fraysse N, Heslot F (1991) Thin wetting films. Colloids Surf 52:1–8

    Article  Google Scholar 

  • Cazabat AM, Gerdes S, Valignat MP, Villette S (1997) Dynamics of wetting: from theory to experiment. Interface Sci 5:129–139

    Article  Google Scholar 

  • Chen J-D, Wada N (1992) Edge profiles and dynamic contact angles of a spreading drop. J Colloid Interface Sci 148:207–222

    Article  Google Scholar 

  • Chengara A, Nikolov AD, Wasan DT, Trokhymchuk A, Henderson D (2004) Spreading of nanofluids driven by the structural disjoining pressure gradient. J Colloid Interface Sci 280:192–201

    Article  Google Scholar 

  • Chinnam J, Das DK, Vajjha RS, Satti JR (2015) Measurements of the surface tension of nanofluids and development of a new correlation. Int J Therm Sci 98:68–80

    Article  Google Scholar 

  • Chou C, Teng H-K, Yu C-J, Huang H-S (2007) Polarization modulation imaging ellipsometry for thin film thickness measurement. Opt Commun 273:74–83

    Article  Google Scholar 

  • Chu C-W, Lee C-C, Fu I-Y, Hsu J-C, Liou Y-Y (1994) Phase-shifting ellipsometer. Jpn J Appl Phys 33:4769–4772

    Article  Google Scholar 

  • Cox RG (1986) The dynamics of the spreading of liquids on a solid surface: part 1. Viscous Flow J Fluid Mech 168:169–194

    Article  MATH  Google Scholar 

  • de Gennes PG (1985) Wetting: statics and dynamics. Rev Mod Phys 57:827–863

    Article  MathSciNet  Google Scholar 

  • de Silva JP, Geoghegan M, Higgins AM, Krausch G, David MO, Reiter G (2007) Switching layer stability in a polymer bilayer by thickness variation. Phys Rev Lett 98:267802

    Article  Google Scholar 

  • Fraysse N, Valignat MP, Cazabat AM, Heslot F, Levinson P (1993) The spreading of layered microdroplets. J Colloid Interface Sci 158:27–32

    Article  Google Scholar 

  • Fujiwara H (2007) Spectroscopic ellipsometry: principles and applications. Wiley

    Book  Google Scholar 

  • Ghosh Chaudhuri R, Paria S (2014) The wettability of PTFE and glass surfaces by nanofluids. J Colloid Interface Sci 434:141–151

    Article  Google Scholar 

  • Gupta NK, Tiwari AK, Ghosh SK (2018) Heat transfer mechanisms in heat pipes using nanofluids: a review. Exp Therm Fluid Sci 90:84–100

    Article  Google Scholar 

  • Hashimoto S, Hong C, Ueno I (2012) Transient growth process of precursor film at early stage of droplet spreading. J Therm Sci Technol 7:487–496

    Article  Google Scholar 

  • Heslot F, Cazabat AM, Levinson P (1989a) Dynamics of wetting of tiny drops: Ellipsometric study of the late stages of spreading. Phys Rev Lett 62:1286–1289

    Article  Google Scholar 

  • Heslot F, Fraysse N, Cazabat AM (1989b) Molecular layering in the spreading of wetting liquid drops. Nature 338:640–642

    Article  Google Scholar 

  • Heslot F, Cazabat AM, Levinson P, Fraysse N (1990) Experiments on wetting on the scale of nanometers: Influence of the surface energy. Phys Rev Lett 65:599–602

    Article  Google Scholar 

  • Hirose K, Konisho T, Ueno I (2007) Existing length of precursor film on inclined solid substrate. Microgravity Sci Technol 19:81–83

    Article  Google Scholar 

  • Hoang A, Berteloot G, Sharif-Kashani P, Kavehpour HP (2012) Dynamic measurement of microfilms and nanofilms of fluids using fluorescence microscopy. Exp Fluids 52:1657–1662

    Article  Google Scholar 

  • Hoang A, Kavehpour HP (2011) Dynamics of nanoscale precursor film near a moving contact line of spreading drops. Phys Rev Lett 106:254501

    Article  Google Scholar 

  • Houssainy S, Kavehpour HP (2015) Free-surface profile of evaporative liquids at the vicinity of the contact line. J Coat Technol Res 12:863–867

    Article  Google Scholar 

  • Ilyas SU, Ridha S, Abdul Kareem FA (2020) Dispersion stability and surface tension of SDS-stabilized saline nanofluids with graphene nanoplatelets. Colloids Surf A 592:124584

    Article  Google Scholar 

  • Joanny J, de Gennes P-G (1986) Upward creep of a wetting fluid: a scaling analysis. J Phys 47:121–127

    Article  Google Scholar 

  • Jothi Prakash CG, Prasanth R (2018) Enhanced boiling heat transfer by nano structured surfaces and nanofluids. Renew Sust Energ Rev 82:4028–4043

    Article  Google Scholar 

  • Kamatchi R, Venkatachalapathy S, Abhinaya Srinivas B (2015) Synthesis, stability, transport properties, and surface wettability of reduced graphene oxide/water nanofluids. Int J Therm Sci 97:17–25

    Article  Google Scholar 

  • Kanda Y, Shoji E, Chen L, Okajima J, Komiya A, Maruyama S (2017) Measurement of transient heat transfer in vicinity of gas–liquid interface using high-speed phase-shifting interferometer. Int Commun Heat Mass Transf 89:57–63

    Article  Google Scholar 

  • Kavehpour HP, Ovryn B, McKinley GH (2003) Microscopic and macroscopic structure of the precursor layer in spreading viscous drops. Phys Rev Lett 91:196104

    Article  Google Scholar 

  • Kim S, Tserengombo B, Choi S-H et al (2019) Experimental investigation of heat transfer coefficient with Al2O3 nanofluid in small diameter tubes. Appl Therm Eng 146:346–355

    Article  Google Scholar 

  • Ko SH, Pan H, Grigoropoulos CP, Luscombe CK, Fréchet JMJ, Poulikakos D (2007) All-inkjet-printed flexible electronics fabrication on a polymer substrate by low-temperature high-resolution selective laser sintering of metal nanoparticles. Nanotechnology 18:345202

    Article  Google Scholar 

  • Ko SH, Chung J, Hotz N, Nam KH, Grigoropoulos CP (2010) Metal nanoparticle direct inkjet printing for low-temperature 3D micro metal structure fabrication. J Micromech Microeng 20:125010

    Article  Google Scholar 

  • Kondiparty K, Nikolov AD, Wasan D, Liu K-L (2012) Dynamic spreading of nanofluids on solids. Part I: Experimental. Langmuir 28:14618–14623

    Article  Google Scholar 

  • Kullmann C, Schirmer NC, Lee M-T et al (2012) 3D micro-structures by piezoelectric inkjet printing of gold nanofluids. J Micromech Microeng 22:055022

    Article  Google Scholar 

  • Leger L, Erman M, Guinet-Picard A, Ausserre D, Strazielle C (1988) Precursor film profiles of spreading liquid drops. Phys Rev Lett 60:2390

    Article  Google Scholar 

  • Li Y, Wang F, Liu H, Wu H (2015) Nanoparticle-tuned spreading behavior of nanofluid droplets on the solid substrate. Microfluid Nanofluidics 18:111–120

    Article  Google Scholar 

  • Lim S, Horiuchi H, Nikolov AD, Wasan D (2015) Nanofluids alter the surface wettability of solids. Langmuir 31:5827–5835

    Article  Google Scholar 

  • Lim S, Zhang H, Wu P, Nikolov A, Wasan D (2016) The dynamic spreading of nanofluids on solid surfaces: role of the nanofilm structural disjoining pressure. J Colloid Interface Sci 470:22–30

    Article  Google Scholar 

  • Liu K-L, Kondiparty K, Nikolov AD, Wasan D (2012) Dynamic spreading of nanofluids on solids Part II: modeling. Langmuir 28:16274–16284

    Article  Google Scholar 

  • Lu G, Duan Y-Y, Wang X-D (2015) Experimental study on the dynamic wetting of dilute nanofluids. Colloids Surf A 486:6–13

    Article  Google Scholar 

  • Lu G, Wang X-D, Duan Y-Y (2016) A critical review of dynamic wetting by complex fluids: from Newtonian fluids to non-Newtonian fluids and nanofluids. Adv Colloid Interface Sci 236:43–62

    Article  Google Scholar 

  • Lu G, Hu H, Duan Y, Sun Y (2013) Wetting kinetics of water nano-droplet containing non-surfactant nanoparticles: a molecular dynamics study. Appl Phys Lett 103:253104

    Article  Google Scholar 

  • Malitson I (1965) Interspecimen comparison of the refractive index of fused silica. J Opt Soc Am 55:1205–1209

    Article  Google Scholar 

  • Nikolov AD, Wasan DT (2009) Mechanisms of the assembly of nano- and microparticle two-dimensional structures in a wedge film. Ind Eng Chem Res 48:2320–2326

    Article  Google Scholar 

  • Nikolov A, Wasan D (2014) Wetting–dewetting films: the role of structural forces. Adv Colloid Interface Sci 206:207–221

    Article  Google Scholar 

  • Nikolov A, Kondiparty K, Wasan D (2010) Nanoparticle self-structuring in a nanofluid film spreading on a solid surface. Langmuir 26:7665–7670

    Article  Google Scholar 

  • Nikolov A, Wu P, Wasan D (2019) Structure and stability of nanofluid films wetting solids: an overview. Adv Colloid Interface Sci 264:1–10

    Article  Google Scholar 

  • Pak HK, Law BM (1995) 2D imaging ellipsometric microscope. Rev Sci Instrum 66:4972–4976

    Article  Google Scholar 

  • Popescu MN, Oshanin G, Dietrich S, Cazabat AM (2012) Precursor films in wetting phenomena. J Phys Condens Matter 24:243102

    Article  Google Scholar 

  • Rashidi S, Eskandarian M, Mahian O, Poncet S (2019) Combination of nanofluid and inserts for heat transfer enhancement. J Therm Anal Calorim 135:437–460

    Article  Google Scholar 

  • Sefiane K, Skilling J, MacGillivray J (2008) Contact line motion and dynamic wetting of nanofluid solutions. Adv Colloid Interface Sci 138:101–120

    Article  Google Scholar 

  • Shoji E, Komiya A, Okajima J, Maruyama S (2012) Development of quasi common path phase-shifting interferometer for measurement of natural convection fields. Int J Heat Mass Transf 55:7460–7470

    Article  Google Scholar 

  • Shoji E, Komiya A, Okajima J, Kawamura H, Maruyama S (2015a) High-speed phase-shifting interferometry using triangular prism for time-resolved temperature measurement. Appl Opt 54:6297–6304

    Article  Google Scholar 

  • Shoji E, Nakaoku R, Komiya A, Okajima J, Maruyama S (2015b) Quantitative visualization of boundary layers by developing quasi-common-path phase-shifting interferometer. Exp Therm Fluid Sci 60:231–240

    Article  Google Scholar 

  • Shoji E, Komiya A, Okajima J, Kubo M, Tsukada T (2019) Three-step phase-shifting imaging ellipsometry to measure nanofilm thickness profiles. Opt Lasers Eng 112:145–150

    Article  Google Scholar 

  • Suganthi KS, Harish K, Nair NM, Swaminathan P (2018) Formulation and optimization of a zinc oxide nanoparticle ink for printed electronics applications. Flex Print Electron 3:015001

    Article  Google Scholar 

  • Tompkins H, Irene EA (2005) Handbook of ellipsometry. William Andrew

    Book  Google Scholar 

  • Torres JF, Komiya A, Shoji E, Okajima J, Maruyama S (2012) Development of phase-shifting interferometry for measurement of isothermal diffusion coefficients in binary solutions. Opt Lasers Eng 50:1287–1296

    Article  Google Scholar 

  • Vafaei S, Tuck C, Ashcroft I, Wildman R (2016) Surface microstructuring to modify wettability for 3D printing of nano-filled inks. Chem Eng Res Des 109:414–420

    Article  Google Scholar 

  • Valignat MP, Fraysse N, Cazabat AM, Heslot F, Levinson P (1993) An ellipsometric study of layered droplets. Thin Solid Films 234:475–477

    Article  Google Scholar 

  • Voinov OV (1976) Hydrodynamics of wetting. Fluid Dyn 11:714–721

    Article  Google Scholar 

  • Wang XD, Lee DJ, Peng XF, Lai JY (2007a) Spreading dynamics and dynamic contact angle of non-Newtonian fluids. Langmuir 23:8042–8047

    Article  Google Scholar 

  • Wang XD, Zhang Y, Lee DJ, Peng XF (2007b) Spreading of completely wetting or partially wetting power-law fluid on solid surface. Langmuir 23:9258–9262

    Article  Google Scholar 

  • Wasan DT, Nikolov AD (2003) Spreading of nanofluids on solids. Nature 423:156–159

    Article  Google Scholar 

  • Wasan D, Nikolov A, Kondiparty K (2011) The wetting and spreading of nanofluids on solids: role of the structural disjoining pressure. Curr Opin Colloid Interface Sci 16:344–349

    Article  Google Scholar 

  • Wu P, Nikolov AD, Wasan DT (2018) Two-phase displacement dynamics in capillaries-nanofluid reduces the frictional coefficient. J Colloid Interface Sci 532:153–160

    Article  Google Scholar 

  • Xu H, Shirvanyants D, Beers K, Matyjaszewski K, Rubinstein M, Sheiko SS (2004) Molecular motion in a spreading precursor film. Phys Rev Lett 93:206103

    Article  Google Scholar 

  • Yang K, Zeng A, Wang X, Tang F, Wang H (2008) Simultaneous phase-shifting ellipsometry based on grating beamsplitter. Opt Eng 47:063602

    Article  Google Scholar 

  • Yin X, Hu C, Bai M, Lv J (2019) Molecular dynamic simulation of rapid boiling of nanofluids on different wetting surfaces with depositional nanoparticles. Int J Multiphase Flow 115:9–18

    Article  MathSciNet  Google Scholar 

  • Yu C-J, Lin C-E, Teng H-K, Tsai C-C, Chou C (2009) Dual-frequency paired polarization phase shifting ellipsometer. Opt Commun 282:1516–1520

    Article  Google Scholar 

  • Zhao M, Oléron M, Pelosse A, Limat L, Guazzelli É, Roché M (2020) Spreading of granular suspensions on a solid surface. Phys Rev Res 2:022031

    Article  Google Scholar 

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Acknowledgements

This study was supported by JSPS Grant-in-Aid for Scientific Research (B) 20H02498 and 16H04548; Young Scientists (B) 17K14848; Materials Processing Science Project (“Materealize”) of MEXT JPMXP0219192801. Part of the work was supported by Sumitomo Electric Industries Group Corporate Social Responsibility Foundation; Nippon Sheet Glass Foundation for Materials Science and Engineering; Murata Science Foundation; CASIO Science Promotion Foundation. Part of the work was carried out under the Collaborative Research Project of the Institute of Fluid Science, Tohoku University, J20I084 and J19I059.

Funding

This study was supported by JSPS Grant-in-Aid for Scientific Research (B) 20H02498 and 16H04548; Young Scientists (B) 17K14848; Materials Processing Science Project (“Materealize”) of MEXT JPMXP0219192801. Partial financial support was received from Sumitomo Electric Industries Group Corporate Social Responsibility Foundation; Nippon Sheet Glass Foundation for Materials Science and Engineering; Murata Science Foundation; CASIO Science Promotion Foundation.

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ES was involved in conceptualization, methodology, software, formal analysis, investigation, visualization, writing—original draft, project administration, and funding acquisition. TK was involved in formal analysis, investigation, and validation. TY was involved in formal analysis and investigation. MK was involved in methodology and writing—review and editing. TT was involved in conceptualization, writing—review and editing, supervision, and funding acquisition. AK was involved in methodology and writing—review and editing.

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Correspondence to Eita Shoji.

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Shoji, E., Kaneko, T., Yonemura, T. et al. Measurement of dynamic wetting using phase-shifting imaging ellipsometer: comparison of pure solvent and nanoparticle suspension on film thickness profile, apparent contact angle, and precursor film length. Exp Fluids 62, 206 (2021). https://doi.org/10.1007/s00348-021-03296-3

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  • DOI: https://doi.org/10.1007/s00348-021-03296-3

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