Simulation of a Dripping Faucet

Abstract

We present a simulation of a dripping faucet system. A new algorithm based on Lagrangian description is introduced. The shape of drop falling from a faucet obtained by the present algorithm agrees quite well with experimental observations. Long-term behavior of the simulation can reproduce period-one, period-two, intermittent and chaotic oscillations widely observed in experiments. Possible routes to chaos are discussed.

20 pages, 15 figures, J. Phys. Soc. Jpn. (in press)

References in corpus (2)

• Drop Formation in a One-Dimensional Approximation of the Navier-Stokes Equation
• Behavior of the Dripping Faucet over a Wide Range of the Flow Rate

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• Picture of the low-dimensional structure in chaotic dripping faucets
• Complex dynamics in simple systems with seasonal parameter oscillations