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Physics of Fluids : Chaotic motions of a forced droplet-droplet oscillator

By D. M. Slater, C. A. López, A. H. Hirsa, and P. H. Steen

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Book Id: WPLBN0002169587
Format Type: PDF eBook :
File Size: Serial Publication
Reproduction Date: 24 September 2008

Title: Physics of Fluids : Chaotic motions of a forced droplet-droplet oscillator  
Author: D. M. Slater, C. A. López, A. H. Hirsa, and P. H. Steen
Volume: Issue : September 2008
Language: English
Subject: Science, Physics, Natural Science
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Physics of Fluids Collection
Historic
Publication Date:
Publisher: American Institute of Physics

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Slater, C. A. López, A. H. Hirsa, And P. H. Stee, D. M. (n.d.). Physics of Fluids : Chaotic motions of a forced droplet-droplet oscillator. Retrieved from http://worldjournals.org/


Description
Description: A model for the motion of two coupled spherical-cap droplets subject to periodic forcing is studied. The inviscid unforced model is a conservative second-order system, similar to Duffing’s equation. Surface tension resists the inertia of deformations from the spherical shape. Steady states of the system are parametrized by the total combined volume of the two droplet caps. The family of equilibria exhibits a classical pitchfork bifurcation, where a single lenslike symmetric steady state bifurcates into two dropletlike asymmetric states. The existence of homoclinic orbits in the unforced system suggests the possibility of chaotic dynamics in a forced, damped system. The forced damped extension is investigated for chaotic dynamics using Melnikov’s method and by calculating Lyapunov exponents. Observations are compared qualitatively to experimental results, confirming the existence of chaotic motions.

 
 


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