Free oscillations of three armed liquid columns

Abstract

Paper presented at the 7th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Turkey, 19-21 July, 2010.A mathematical formulation of the oscillating motion of three interconnected liquid columns open to the atmosphere is presented in this study. It is solved by Runga-Kutta method and compared with the experimental data The results of the numerical solution are in good agreement with the experimental data. In order to obtain a mathematical statement of the natural frequencies depending on the geometrical parameters of this autonomous dynamic system, the mathematical formulation is obtained by control volume approach. In this way, the variation of the natural frequencies versus the distances between the columns and versus the cross-section areas of the columns is investigated.