Dripping Faucet Dynamics Clarified by an Improved Mass-Spring Model

Abstract

An improved mass-spring model for a dripping faucet is presented. The model is constructed based on the numerical results which we recently obtained from fluid dynamical calculations. Both the fluid dynamical calculations and the present mass-spring model exhibit a variety of complex behavior including transition to chaos in good agreement with experiments. Further, the mass-spring model reveals fundamental dynamics inherent in the dripping faucet system.

17 pages, 17 figures

References in corpus (3)

• Long Range Anticorrelations and Non-Gaussian Behavior of a Leaky Faucet
• Simulation of a Dripping Faucet
• Behavior of the Dripping Faucet over a Wide Range of the Flow Rate

Cited by in corpus (4)

• Liquid flow-focused by a gas: jetting, dripping and recirculation
• Hydro-dynamical models for the chaotic dripping faucet
• Manifold Learning Approach for Chaos in the Dripping Faucet
• Picture of the low-dimensional structure in chaotic dripping faucets