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Internal flow in evaporating water drops: dominance of Marangoni flow

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Abstract

The internal flow field in evaporating sessile water drops is experimentally investigated in the present work. The interdependency in the prevailing thermal field and the internal flow field is analyzed by simultaneous utilization of infrared thermography and particle image velocimetry. Experiments are conducted on a hydrophobic substrate while varying the substrate temperature between 25 and 60 \(^\circ\)C, resulting in a significant variation in the strength of internal convection. For the case of a non-heated substrate, a monotonic variation in temperature along the liquid–vapor interface results in an axisymmetric flow field inside the drop. For heated substrates, the presence of a cold spot at the liquid–vapor interface due to the dominance of the Marangoni flow results in a non-axisymmetric flow field. In such a situation, two counter-rotating vortices inside the drop are visualized. Here, the velocities inside the drop are \(\sim\) O(mm/s), where velocities of \(\sim\) O(\(\mu\)m/s) are previously reported for buoyancy-dominated flows. Qualitative features in the internal flow field, such as the duration of the presence of the non-axisymmetric flow and the shift in the center of vortices, highlight more vigorous Marangoni convection in drops evaporating on substrates maintained at a higher temperature. Quantitative analysis of the flow field is presented in terms of the spatiotemporal evolution of velocity and vorticity inside the drop, which are further correlated to the evolution of the thermal field by analyzing the interfacial temperature difference. Further, by observing the deposition pattern of tracer particles formed after the evaporation of drops, the effect of variations in the internal flow field on deposition patterns is deduced.

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References

  • Askounis A, Orejon D, Koutsos V, Sefiane K, Shanahan MER (2011) Nanoparticle deposits near the contact line of pinned volatile droplets: size and shape revealed by atomic force microscopy. Soft Matter 7(9):4152

    Google Scholar 

  • Askounis A, Kita Y, Kohno M, Takata Y, Koutsos V, Sefiane K (2017) Influence of local heating on Marangoni flows and evaporation kinetics of pure water drops. Langmuir 33(23):5666

    Google Scholar 

  • Bansal L, Seth P, Sahoo S, Mukherjee R, Basu S (2018) Beyond coffee ring: anomalous self-assembly in evaporating nanofluid droplet on a sticky biomimetic substrate. Appl Phys Lett 113(21):213701

    Google Scholar 

  • Bhardwaj R (2018) Analysis of an evaporating sessile droplet on a non-wetted surface. Colloid Interface Sci Commun 24:49–53. https://doi.org/10.1016/j.colcom.2018.02.004

    Article  Google Scholar 

  • Bhardwaj R, Fang X, Somasundaran P, Attinger D (2010) Self-assembly of colloidal particles from evaporating droplets: role of DLVO interactions and proposition of a phase diagram. Langmuir 26(11):7833

    Google Scholar 

  • Calvert P (2001) Inkjet printing for materials and devices. Chem Mater 13:3299

    Google Scholar 

  • Carle F, Sobac B, Brutin D (2013) Experimental evidence of the atmospheric convective transport contribution to sessile droplet evaporation. Appl Phys Lett 102(6):061603

    Google Scholar 

  • Chandramohan A, Weibel JA, Garimella SV (2017) Spatiotemporal infrared measurement of interface temperatures during water droplet evaporation on a nonwetting substrate. Appl Phys Lett 110(4):041605

    Google Scholar 

  • Chatterjee S, Kumar M, Murallidharan JS, Bhardwaj R (2020) Evaporation of initially heated sessile droplets and the resultant dried colloidal deposits on substrates held at ambient temperature. Langmuir 36(29):8407

    Google Scholar 

  • Chen P, Harmand S, Ouenzerfi S, Schiffler J (2017) Marangoni flow induced evaporation enhancement on binary sessile drops. J Phys Chem B 121(23):5824

    Google Scholar 

  • Chhasatia VH, Sun Y (2011) Interaction of bi-dispersed particles with contact line in an evaporating colloidal drop. Soft Matter 7:10135

    Google Scholar 

  • Christy JRE, Hamamoto Y, Sefiane K (2011) Flow transition within an evaporating binary mixture sessile drop. Phys Rev Lett 106(20):051602

    Google Scholar 

  • Dash S, Garimella SV (2013) Droplet evaporation dynamics on a superhydrophobic surface with negligible hysteresis. Langmuir 29(34):10785

    Google Scholar 

  • Dash S, Chandramohan A, Weibel JA, Garimella SV (2014) Buoyancy-induced on-the-spot mixing in droplets evaporating on nonwetting surfaces. Phys Rev E Stat Nonlinear Soft Matter Phys 90(6):1

    Google Scholar 

  • Deegan RD, Bakajin O, Dupont TF, Huber G, Nagel SR, Witten TA (2000) Contact line deposits in an evaporating drop, Physical Review E - Statistical Physics. Fluids, and Related Interdisciplinary Topics, Plasmas

  • Deegan RD, Bakajin O, Dupont TF, Huber G, Nagel SR, Witten TA (1997) Capillary flow as the cause of ring stains from dried liquid drops. Nature 389(6653):827

    Google Scholar 

  • Dehaeck S, Rednikov A, Colinet P (2014) Vapor-based interferometric measurement of local evaporation rate and interfacial temperature of evaporating droplets. Langmuir 30(8):2002

    Google Scholar 

  • Erbil HY (2012) Evaporation of pure liquid sessile and spherical suspended drops: a review. Adv Colloid Interface Sci 170(1–2):67

    Google Scholar 

  • Fabien G, Antoni M, Sefiane K (2011) Use of IR thermography to investigate heated droplet evaporation and contact line dynamics. Langmuir 27(11):6744

    Google Scholar 

  • Garnier N, Chiffaudel A, Daviaud F (2006) Hydrothermal waves in a disk of fluid. Dyn Spatio-Temporal Cell Struct Henri Benard Centen Rev 207:147

    Google Scholar 

  • Hu H, Larson RG (2005) Analysis of the effects of Marangoni stresses on the microflow in an evaporating sessile droplet. Langmuir 21(9):3972

    Google Scholar 

  • Hu H, Larson RG (2006) Marangoni effect reverses coffee-ring depositions. J Phys Chem B 110(14):7090

    Google Scholar 

  • Iqbal R, Majhy B, Shen AQ, Sen AK (2018) Evaporation and morphological patterns of bi-dispersed colloidal droplets on hydrophilic and hydrophobic surfaces. Soft Matter 14(48):9901

    Google Scholar 

  • Jia W, Qiu HH (2003) Experimental investigation of droplet dynamics and heat transfer in spray cooling. Exp Therm Fluid Sci 27(7):829

    Google Scholar 

  • Josyula T, Wang Z, Askounis A, Orejon D, Harish S, Takata Y, Mahapatra PS, Pattamatta A (2018) Evaporation kinetics of pure water drops: thermal patterns. Marangoni flow, and interfacial temperature difference. Phys Rev E 98(5):052804

    Google Scholar 

  • Josyula T, Manghnani C, Mahapatra PS, Pattamatta A (2019) Thermal Patterns and Internal Flow Mechanisms in Evaporating Inverted Sessile Drops of Pure Water. In: ASME International Mechanical Engineering Congress and Exposition, Volume 8: Heat Transfer and Thermal Engineering. https://doi.org/10.1115/IMECE2019-11256

  • Josyula T, Mahapatra PS, Pattamatta A (2021) Insights into the evolution of the thermal field in evaporating sessile pure water drops. Colloids Surf A Physicochem Eng Aspects 611:125855

    Google Scholar 

  • Kang KH, Lee SJ, Lee CM, Kang IS (2004) Quantitative visualization of flow inside an evaporating droplet using the ray tracing method. Measurem Sci Technol 15:1104

    Google Scholar 

  • Kang KH, Lim HC, Lee HW, Lee SJ (2013) Evaporation-induced saline Rayleigh convection inside a colloidal droplet. Phys Fluids 25(4):042001

    Google Scholar 

  • Kelly-Zion PL, Pursell CJ, Vaidya S, Batra J (2011) Evaporation of sessile drops under combined diffusion and natural convection. Colloids Surf A Physicochem Eng Aspects 381(1–3):31

    Google Scholar 

  • Kita Y, Askounis A, Kohno M, Takata Y, Kim J, Sefiane K (2016) Induction of Marangoni convection in pure water drops. Appl Phys Lett 109(17):171602

    Google Scholar 

  • Li Y, Lv C, Li Z, Quéré D, Zheng Q (2015) From coffee rings to coffee eyes. Soft Matter 11(23):4669

    Google Scholar 

  • Lin SY, Yang KC, Chen LJ (2015) Effect of surface hydrophobicity on critical pinning concentration of nanoparticles to trigger the coffee ring formation during the evaporation process of sessile drops of nanofluids. J Phys Chem C 119:3050

    Google Scholar 

  • Mahmud MA, MacDonald BD (2017) Experimental investigation of interfacial energy transport in an evaporating sessile droplet for evaporative cooling applications. Phys Rev E 95(1):012609

    Google Scholar 

  • Manukyan S, Sauer HM, Roisman IV, Baldwin KA, Fairhurst DJ, Liang H, Venzmer J, Tropea C (2013) Imaging internal flows in a drying sessile polymer dispersion drop using spectral radar optical coherence tomography (SR-OCT). J Colloid Interface Sci 395:287

    Google Scholar 

  • Marin A, Liepelt R, Rossi M, Kähler CJ (2016) Surfactant-driven flow transitions in evaporating droplets. Soft Matter 12(5):1593

    Google Scholar 

  • Orejon D, Sefiane K, Shanahan MER (2011) Stick-slip of evaporating droplets: substrate hydrophobicity and nanoparticle concentration. Langmuir 27:12834

    Google Scholar 

  • Paik SW, Kihm KD, Lee SP, Pratt DM (2006) Spatially and temporally resolved temperature measurements for slow evaporating sessile drops heated by a microfabricated heater array. J Heat Trans 129(8):966

    Google Scholar 

  • Parsa M, Harmand S, Sefiane K (2018) Mechanisms of pattern formation from dried sessile drops. Adv Colloid Interface Sci 254:22

    Google Scholar 

  • Parthasarathy D, Thampi SP, Ravindran P, Basavaraj MG (2021) Further insights into patterns from drying particle laden sessile drops. Langmuir 37:4395

    Google Scholar 

  • Patil ND, Bange PG, Bhardwaj R, Sharma A (2016) Effects of substrate heating and wettability on evaporation dynamics and deposition patterns for a sessile water droplet containing colloidal particles. Langmuir 32(45):11958

    Google Scholar 

  • Pereira F, Lu J, Castaño-Graff E, Gharib M (2007) Microscale 3D flow mapping with \(\mu\)dDPIV. Exp Fluids 42(4):589

    Google Scholar 

  • Picknett RG, Bexon R (1977) The evaporation of sessile or pendant drops in still air. J Colloid Interface Sci 336(61):61

    Google Scholar 

  • Pradhan TK, Panigrahi PK (2015) Thermocapillary convection inside a stationary sessile water droplet on a horizontal surface with an imposed temperature gradient. Exp Fluids 56(9):1

    Google Scholar 

  • Richards CD, Richards RF, Boltzman S (1998) Transient temperature measurements in a convectively cooled droplet. Exp Fluids 25:392

    Google Scholar 

  • Ristenpart WD, Kim PG, Domingues C, Wan J, Stone HA (2007) Influence of substrate conductivity on circulation reversal in evaporating drops. Phys Rev Lett 99(23):234502

    Google Scholar 

  • Sáenz PJ, Sefiane K, Kim J, Matar OK, Valluri P (2016) Evaporation of sessile drops: a three-dimensional approach. J Fluid Mech 772:705

    MathSciNet  Google Scholar 

  • Sangani AS, Lu C, Su K, Schwarz JA (2009) Capillary force on particles near a drop edge resting on a substrate and a criterion for contact line pinning. Phys Rev E 80:011603

    Google Scholar 

  • Savino R, Fico S (2004) Transient Marangoni convection in hanging evaporating drops. Phys Fluids 16(10):3738

    MATH  Google Scholar 

  • Sciacchitano A (2019) Uncertainty quantification in particle image velocimetry. Measurem Sci Technol 30(9):092001

    Google Scholar 

  • Shanahan MER (1995) Simple theory of stick-slip wetting hysteresis. Langmuir 11(3):1041

    Google Scholar 

  • Shanahan MER, Sefiane K, Moffat JR (2011) Dependence of volatile droplet lifetime on the hydrophobicity of the substrate. Langmuir 27(8):4572

    Google Scholar 

  • Sobac B, Brutin D (2011) Triple-line behavior and wettability controlled by nanocoated substrates: influence on sessile drop evaporation. Langmuir 27:14999

    Google Scholar 

  • Thielicke W, Stamhuis EJ, (2014) PIVlab–Towards User-friendly, Affordable and Accurate Digital Particle Image Velocimetry in MATLAB, J Open Res Softw

  • Trantum JR, Eagleton ZE, Patil CA, Tucker-Schwartz JM, Baglia ML, Skala MC, Haselton FR (2013) Cross-sectional tracking of particle motion in evaporating drops: flow fields and interfacial accumulation. Langmuir 29(21):6221

    Google Scholar 

  • Wang Z, Zhao YP (2012) In situ observation of thermal Marangoni convection on the surface of a sessile droplet by infrared thermal imaging. J Adhes Sci Technol 26(12–17):2177

    Google Scholar 

  • Wong TS, Chen TH, Shen X, Ho CM (2011) Nanochromatography driven by the coffee ring effect. Anal Chem 83(6):1871

    Google Scholar 

  • Xu X, Luo J (2007) Marangoni flow in an evaporating water droplet. Appl Phys Lett 91(12):124102

    Google Scholar 

  • Xu K, Vos R, Vereecke G, Doumen G, Fyen W, Mertens PW, Heyns MM, Vinckier C, Fransaer J, Kovacs F (2005) Fundamental study of the removal mechanisms of nano-sized particles using brush scrubber cleaning. J Vac Sci Technol B Microelectron Nanometer Struct Process Measurem Phenom 23(5):2160

    Google Scholar 

  • Zhong X, Duan F (2016) Disk to dual ring deposition transformation in evaporating nanofluid droplets from substrate cooling to heating. Phys Chem Chem Phys 18(30):20664

    Google Scholar 

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Acknowledgements

The authors gratefully acknowledge Dr. Nilesh J. Vasa, Professor in Engineering Design, Indian Institute of Technology Madras, for providing the continuous wave laser.

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Correspondence to Pallab Sinha Mahapatra.

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Josyula, T., Mahapatra, P.S. & Pattamatta, A. Internal flow in evaporating water drops: dominance of Marangoni flow. Exp Fluids 63, 49 (2022). https://doi.org/10.1007/s00348-022-03396-8

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