Crisis and intermittence in a leaky-faucet experiment

Sartorelli, J. C.; Gonçalves, W.M.; Pinto, R. D.

doi:10.1103/physreve.49.3963

Cited by 61 publications

(33 citation statements)

References 7 publications

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“…Also, Bernoulli's theorem, even with our constant energy amount subtracted at the pin-hole, is no longer valid: it supposes one has a stationary flow. The theoretical treatment of this intermittency problem is a very difficult task, and many interesting complex phenomena could be observed experimentally [8]. No satisfactory analytical approach is available, although some computer simulations based on a stochastic simple model seems to capture the essential physical ingredients governing the phenomenon [9] -see [10] for a review.…”

Section: -One-bottle Experimentsmentioning

confidence: 99%

Pin-hole water flow from cylindrical bottles

et al. 2000

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We performed an experiment on elementary hydrodynamics. The basic system is a cylindrical bottle from which water flows through a pinhole located at the bottom of its lateral surface. We measured the speed of the water leaving the pin-hole, as a function of both the time and the current level of water still inside the bottle. The experimental results are compared with the theory. The theoretical treatment is a very simple one based on mass and energy conservation, corresponding to a widespread exercise usually adopted in university basic disciplines of Physics.We extended the previous experiment to another similar system using two equal bottles with equal pin-holes. The water flowing from the first bottle feeds the second one located below it. The same concepts of mass and energy conservation now lead to a non-trivial differential equation for the lowest bottle dynamics. We solved this equation both numerically and analytically, comparing the results with the experimental data.

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Section: -One-bottle Experimentsmentioning

confidence: 99%

Pin-hole water flow from cylindrical bottles

et al. 2000

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“…Many experiments [1][2][3][4][5][6] have confirmed that the dripping faucet, in spite of being a very simple system, presents complex behavior (chaos, Hopf bifurcations, long range anti-correlations, hysteresis, intermittence,...). Some years ago, a phenomenological macroscopic model was introduced [5] to explain the dynamical properties of this system based in the time interval between two drops.…”

Section: Introductionmentioning

confidence: 99%

Monte Carlo Simulation of Some Dynamical Aspects of Drop Formation

Lima

Penna

Oliveira

1997

Int. J. Mod. Phys. C

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In this work we present some results from computer simulations of dynamical aspects of drop formation in a leaky faucet. Our results, which agree very well with the experiments, suggest that only a few elements, at the microscopic level, would be necessary to describe the most important features of this system. We were able to set all parameters of the model in terms of real ones. This is an additional advantage with respect to previous theoretical works.

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“…Em K = 0, observa-se uma bifurcação tipo Hopf onde um ponto fixo estável deixa de existir dando origem a uma família deórbitas quase periódicas [Sartorelli et al, 1994].…”

Section: Mapa Do Círculounclassified

“…Em sistemas cuja dinâmica apresenta sensibilidadeàs condições iniciais nãoé possível fazer previsões a longo prazo sobre sua evolução, mesmo sendo pequenas as variações das condições iniciais. Alguns exemplos de sistemas dinâmicos que apresentam comportamento caótico são variações climáticas [Lorenz, 1980], torneiras pingando [Sartorelli et al, 1994], formação de bolhas [Tufaile, 2000], circuito de Chua e oscilações em semicondutores.…”

Section: Introductionunclassified

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Comportamento complexo na formação de bolhas de ar em líquidos

Piassi¹

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AgradecimentosAo prof. Sartorelli pela orientação e paciência.A minha mãe pela presença em todos os momentos.À meu pai que sempre apoiou todas minhas iniciativas.À Luiza pelo amor incondicional. Ao Aldo.Aos meus familiares e aos irmãos do coração Cadu, Vivi, Eli, Lud e Andreza.Aos colegas do LFNL pelo convívio e pelas sempre construtivas críticas. Ao Luís pelo apoio em tantos momentos. Aos amigos queridos, sempre pacientes e prestativos, e aos Edits que tão bem me receberam.A Capes, ao CNPq eà FAPESP pelo apoio financeiro.

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Crisis and intermittence in a leaky-faucet experiment

Cited by 61 publications

References 7 publications

Pin-hole water flow from cylindrical bottles

Pin-hole water flow from cylindrical bottles

Monte Carlo Simulation of Some Dynamical Aspects of Drop Formation

Comportamento complexo na formação de bolhas de ar em líquidos

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