Abstract
The dynamics of a droplet on a liquid substrate in the case of an inhomogeneous heating from below has been investigated. The problem is studied numerically in the framework of the slender droplet approximation and the precursor model. The change of the stationary droplet’s shape and the rupture of the substrate layer induced by a floating droplet are investigated. The influence of the gravity force on the shape of the droplet is studied.
Similar content being viewed by others
Data Availibility
No datasets were generated or analysed during the current study.
References
Brandenbourger, M., Caps, H., Vitry, Y., Dorbolo, S.: Electrically Charged Droplets in Microgravity. Microgravity Science and Technology 29, 229 (2017)
Buffone, C.: Formation, stability and hydrothermal waves in evaporating liquid lenses. Soft Matter 15, 1970 (2019)
Craster, R.V., Matar, O.K.: On the dynamics of liquid lenses. J. Colloid Interface Sci. 303, 503 (2006)
Fisher, L.S., Golovin, A.A.: Nonlinear stability analysis of a two-layer thin liquid film: Dewetting and autophobic behavior. J. Coll. Interf. Sci. 291, 515 (2005)
Géoris, Ph., Hennenberg, M., Lebon, G., Legros, J.C.: Investigation of thermocapillary convection in a three-liquid-layer systems. J. Fluid Mech. 389, 209 (1999)
Ju, G., Yang, X., Li, L., Cheng, M., Shi, F.: Removal of oil spills through a self-propelled smart device. Chem. Asian J. 14, 2435 (2019)
Kriegsmann, J.J., Miksis, M.J.: Steady motion of a drop along a liquid interface. SIAM J. Appl. Math. 64, 18 (2003)
Labanieh, L., Nguyen, T.N., Zhao, W.A., Kang, D.K.: Floating droplet array: An ultrahigh-throughput device for droplet trapping, real time analysis and recovery. Micromachines 60, 1469 (2015)
Li, W., Lan, D., Wang, Y.: Exploration of Direct-Ink-Write 3D Printing in Space: Droplet Dynamics and Patterns Formation in Microgravity. Microgravity Science and Technology 32, 935 (2020)
Nepomnyashchy, A., Simanovskii, I.: Nonlinear Marangoni waves in a two-layer film in the presence of gravity. Phys. Fluids 24, 032101 (2012)
Nepomnyashchy, A., Simanovskii, I.: Droplets on the liquid substrate: Thermocapillary oscillatory instability. Phys. Rev. Fluids 6, 034001 (2021)
Nepomnyashchy, A., Simanovskii, I.: Marangoni instabilities of droplets on the liquid substrate under the action of a spatial temperature modulation. J. Fluid Mech. 936, A26 (2022)
Nepomnyashchy, A.A., Simanovskii, I.B.: Marangoni instability in ultrathin two-layer films. Phys. Fluids 19, 122103 (2007)
Nepomnyashchy, A.A., Simanovskii, I.B.: Effect of gravity on the dynamics of non-isothermic ultra-thin two-layer films. J. Fluid Mech. 661, 1 (2010)
Nepomnyashchy, A.A., Simanovskii, I.B.: Generation of nonlinear Marangoni waves in a two-layer film by heating modulation. J. Fluid Mech. 771, 159 (2015)
Oron, A., Davis, S.H., Bankoff, S.G.: Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69, 931 (1997)
Pototsky, A., Bestehorn, M., Merkt, D., Thiele, U.: Morphology changes in the evolution of liquid two-layer films. J. Chem. Phys. 122, 224711 (2005)
Pototsky, A., Oron, A., Bestehorn, M.: Vibration-induced flotation of a heavy liquid drop on a lighter liquid film. Phys. Fluids 31, 087101 (2019)
Rybalko, S., Magome, N., Yoshikawa, K.: Forward and backward laser-guided motion of an oil droplet. Phys. Rev. E 70, 046301 (2004)
Simanovskii, I.B., Viviani, A., Dubois, F., Queeckers, P.: The influence of the gravity force on instabilities of the floating droplet. Int. J. Nonlin. Mech. 138, 103857 (2022)
Song, C., Moon, J.K., Lee, K., Kim, K., Pak, H.K.: Breathing, crawling, budding, and splitting of a liquid droplet under laser heating. Soft Matter 10, 2679 (2014)
Yamini, Y., Rezazadeh, M., Seidi, S.: Liquid-phase microextraction - the different principles and configurations. TRAC - Trends Anal. Chem. 112, 264 (2019)
Funding
The research was supported by the Israel Science Foundation (grant No. 843/18).
Author information
Authors and Affiliations
Contributions
1 and 2 wrote the main text of manuscript and 3, 4 are supervisors. All the authors reviewed the manuscript.
Corresponding author
Ethics declarations
Ethical Approval
This article does not contain any studies conducted with human participants or animals performed by any of the authors.
Consent to Participate and Consent to Publish
The authors declare that there are no additional headings with statements on consent to participate and consent to publish.
Competing Interest
The authors declare no competing interests.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Simanovskii, I., Nepomnyashchy, A., Viviani, A. et al. The Action of One-dimensional Spatial Temperature Modulation on Dynamics of a Floating Droplet Heated from Below. Microgravity Sci. Technol. 36, 14 (2024). https://doi.org/10.1007/s12217-024-10103-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12217-024-10103-1