Axisymmetric oscillation modes of a double droplet system

Ramalingam, Santhosh K.; Basaran, Osman A.

doi:10.1063/1.3514197

Axisymmetric oscillation modes of a double droplet system

Journal Article · Sun Nov 14 23:00:00 EST 2010 · Physics of Fluids

DOI:https://doi.org/10.1063/1.3514197· OSTI ID:1076456

Ramalingam, Santhosh K. ^[1]; Basaran, Osman A. ^[1]

Purdue Univ., West Lafayette, IN (United States). School of Chemical Engineering.

A double droplet system (DDS) consists of a sessile and a pendant drop that are coupled through a liquid filled cylindrical hole in a plate of thickness d. For a small hole radius R, equilibrium shapes of both drops are sections of spheres. While DDSs have a number of applications in microfluidics, a DDS oscillating about its equilibrium state can be used as a fast focusing liquid lens. Here, a DDS consisting of an isothermal, incompressible Newtonian fluid of constant density p and constant viscosity u that is surrounded by a gas is excited by oscillating in time (a) the pressure in the gas surrounding either drop (pressure excitation), (b) the plate perpendicular to its plane (axial excitation), and (c) the hole radius (radial excitation). In contrast to previous works that assumed transient drop shapes are spherical, they are determined here by simulation and used to identify the natural modes of axisymmetric oscillations from resonances observed during frequency sweeps with DDSs for which the combined volume V of the two drops is less than (4/3)πR³. Pressure and axial excitations are found to have identical responses but axial and radial excitations are shown to excite different modes. These modes are compared to those exhibited by single pendant (sessile) drop systems. Specifically, while a single pendant (sessile) drop has one additional oscillation mode compared to a free drop, a DDS is found to exhibit roughly twice as many oscillation modes as a pendant (sessile) drop. The effects of dimensionless volume V/R³, dimensionless plate thickness d/R, and Ohnesorge number Oh =μ/√ρRσ , where σ is the surface tension of the DDS-gas interface, on the resonance frequencies are also investigated.

View Accepted Manuscript (DOE)

Research Organization:: Purdue Univ., West Lafayette, IN (United States). School of Chemical Engineering.

Sponsoring Organization:: USDOE SC Office of Basic Energy Sciences (SC-22)

OSTI ID:: 1076456

Journal Information:: Physics of Fluids, Journal Name: Physics of Fluids Journal Issue: 11 Vol. 22; ISSN 1070-6631; ISSN PHFLE6

Publisher:: American Institute of PhysicsCopyright Statement

Country of Publication:: United States

Language:: English

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Micro-scale drop dynamics for heat transfer enhancement Francois, Marianne; Shyy, Wei Progress in Aerospace Sciences, Vol. 38, Issue 4-5 https://doi.org/10.1016/S0376-0421(02)00006-4	journal	May 2002
Capillary dynamics of coupled spherical-cap droplets Theisen, E. A.; Vogel, M. J.; LÓPez, C. A. Journal of Fluid Mechanics, Vol. 580 https://doi.org/10.1017/S0022112007005514	journal	May 2007
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Cited By (1)

Coupled oscillations of deformable spherical-cap droplets. Part 1. Inviscid motions Bostwick, J. B.; Steen, P. H. Journal of Fluid Mechanics, Vol. 714 https://doi.org/10.1017/jfm.2012.483	journal	January 2013

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71 CLASSICAL AND QUANTUM MECHANICS
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