Particles dispersion on fluid–liquid interfaces--颗粒学报PARTICUOLOGY

Gurupatham, S., Dalal, B., Hossain, M. S., Fischer, I. S., Singh, P., & Joseph, D. D. (2011). Particles dispersion on fluid–liquid interfaces. Particuology, 9(1), 1-13. https://doi.org/10.1016/j.partic.2010.10.002

Particles dispersion on fluid–liquid interfaces

Sathish Gurupatham ^a, Bhavin Dalal ^a, Md. Shahadat Hossain ^a, Ian S. Fischer ^a, Pushpendra Singh ^a *, Daniel D. Joseph ^{b c *}

a Department of Mechanical Engineering, New Jersey Institute of Technology, Newark, NJ 07102, USA
b Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, USA
c Department of Mechanical and Aerospace Engineering, University of California Irvine, Irvine, CA 92697, USA

10.1016/j.partic.2010.10.002

Volume 9, Issue 1, February 2011, Pages 1-13

Received 9 July 2010, Revised 9 October 2010, Accepted 18 October 2010, Available online 15 January 2011.

E-mail: singhp@njit.edu; joseph@aem.umn.edu

Highlights

Abstract

This paper is concerned with the dispersion of particles on the fluid–liquid interface. In a previous study we have shown that when small particles, e.g., flour, pollen, glass beads, etc., contact an air–liquid interface, they disperse rapidly as if they were in an explosion. The rapid dispersion is due to the fact that the capillary force pulls particles into the interface causing them to accelerate to a large velocity. In this paper we show that motion of particles normal to the interface is inertia dominated; they oscillate vertically about their equilibrium position before coming to rest under viscous drag. This vertical motion of a particle causes a radially-outward lateral (secondary) flow on the interface that causes nearby particles to move away. The dispersion on a liquid–liquid interface, which is the primary focus of this study, was relatively weaker than on an air–liquid interface, and occurred over a longer period of time. When falling through an upper liquid the particles have a slower velocity than when falling through air because the liquid has a greater viscosity. Another difference for the liquid–liquid interface is that the separation of particles begins in the upper liquid before the particles reach the interface. The rate of dispersion depended on the size of the particles, the densities of the particle and liquids, the viscosities of the liquids involved, and the contact angle. For small particles, partial pinning and hysteresis of the three-phase contact line on the surface of the particle during adsorption on liquid–liquid interfaces was also important. The frequency of oscillation of particles about their floating equilibrium increased with decreasing particle size on both air–water and liquid–liquid interfaces, and the time to reach equilibrium decreased with decreasing particle size. These results are in agreement with our analysis.

Graphical abstract

Keywords

Adsorption; Interfacial tension; Particle dispersion; Fluid–liquid interface; Capillary force; Viscous drag

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