Display options
Cite
Zhang Y, Chatain D, Anna SL, et al. Stability of a compound sessile drop at the axisymmetric configuration. J Colloid Interface Sci. 2015;462:88-99doi: 10.1016/j.jcis.2015.09.043.
Zhang, Y., Chatain, D., Anna, S. L., & Garoff, S. (2016). Stability of a compound sessile drop at the axisymmetric configuration. Journal of colloid and interface science, 46288-99. https://doi.org/10.1016/j.jcis.2015.09.043
Zhang, Ying, et al. "Stability of a compound sessile drop at the axisymmetric configuration." Journal of colloid and interface science vol. 462 (2016): 88-99. doi: https://doi.org/10.1016/j.jcis.2015.09.043
Zhang Y, Chatain D, Anna SL, Garoff S. Stability of a compound sessile drop at the axisymmetric configuration. J Colloid Interface Sci. 2016 Jan 15;462:88-99. doi: 10.1016/j.jcis.2015.09.043. Epub 2015 Sep 21. PMID: 26433481.
Copy Download .nbib Format: NLM
Share it on

J Colloid Interface Sci. 2016 Jan 15;462:88-99. doi: 10.1016/j.jcis.2015.09.043. Epub 2015 Sep 21.

Stability of a compound sessile drop at the axisymmetric configuration.

Journal of colloid and interface science

Ying Zhang, Dominique Chatain, Shelley L Anna, Stephen Garoff

Affiliations

  1. Physics Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA; Center for Complex Fluids Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA.
  2. Aix-Marseille Université, CNRS, CINaM UMR 7325, 13288 Marseille, France.
  3. Center for Complex Fluids Engineering, Carnegie Mellon University, Pittsburgh, PA 15213, USA; Chemical Engineering Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA; Mechanical Engineering Department, Carnegie Mellon University, Pittsburgh, PA 15213, USA. Electronic address: [email protected].

PMID: 26433481 DOI: 10.1016/j.jcis.2015.09.043

Abstract

The equilibrium configuration of compound sessile drops has been calculated previously in the absence of gravity. Using the Laplace equations, we establish seven dimensionless parameters describing the axisymmetric configuration in the presence of gravity. The equilibrium axisymmetric configuration can be either stable or unstable depending on the fluid properties. A stability criterion is established by calculating forces on a perturbed Laplacian shape. In the zero Bond number limit, the stability criterion depends on the density ratio, two ratios of interfacial tensions, the volume ratio of the two drops, and the contact angle. We use Surface Evolver to examine the stability of compound sessile drops at small and large Bond numbers and compare with the zero Bond number approximation. Experimentally, we realize a stable axisymmetric compound sessile drop in air, where the buoyancy force exerted by the air is negligible. Finally, using a pair of fluids in which the density ratio can be tuned nearly independently of the interfacial tensions, the stability transition is verified for the axisymmetric configuration. Even though the perturbations are different for the theory, simulations and experiments, both simulations and experiments agree closely with the zero Bond number approximation, exhibiting a small discrepancy at large Bond number.

Copyright © 2015 Elsevier Inc. All rights reserved.

Keywords: Bond number; Compound drop; Interfacial tension; Partially miscible fluids; Sessile drop; Surface tension

Publication Types