Abstract

HUBARD, A.; MALAGA, C.; ARCE, H.  and  GONZALEZ, H.. A density oscillator model. Rev. mex. fis. [online]. 2012, vol.58, n.5, pp.438-444. ISSN 0035-001X.

We present a model equation describing the behavior of a density oscillator and a set of experiments to test the model. The system consists of a cup containing salty water with an orifice in its base, partially submerged in an outer vessel filled with fresh water. Such a setup produces an oscillatory flow of water through the orifice. The density oscillator is an oscillatory system that shares common features with more complex systems with a stable limit cycle. Although a Rayleigh equation has been used as a model equation for these systems, we propose a different approach based on the integration of the hydrodynamic equations on a streamline. The model reproduces the experimental oscillation and predicts the period as a function of the physical parameters. Phase resetting curves observed in experiments under external biphasic excitation can be reproduced by the model.

Keywords : Density oscillator; saline oscillator; non linear oscillators.

        · text in English     · English ( pdf )