Dynamic Stability of Plane Free Surface of Liquid in Axisymmetric Tanks | Zendy

Siva Srinivas Kolukula | Zendy; P. Chellapandi | Zendy

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Dynamic Stability of Plane Free Surface of Liquid in Axisymmetric Tanks

Author(s) -

Siva Srinivas Kolukula,

P. Chellapandi

Publication year - 2013

Publication title -

advances in acoustics and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.237

H-Index - 14

eISSN - 1687-627X

pISSN - 1687-6261

DOI - 10.1155/2013/298458

Subject(s) - slosh dynamics , free surface , mechanics , instability , rotational symmetry , nonlinear system , finite element method , plane (geometry) , parametric statistics , physics , classical mechanics , mathematics , engineering , geometry , structural engineering , statistics , quantum mechanics

When liquid filled containers are excited vertically, it is known that, for some combinations of frequency and amplitude, the free surface undergoes unbounded motion leading to instability, called parametric instability or parametric resonance, while for other combinations the free surface remains plane. In this paper, the stability of the plane free surface is investigated theoretically when the vessel is a vertical axisymmetric container. The effect of coupled horizontal excitation on the stability is examined. The dynamics of sloshing flows under specified excitations are simulated numerically using fully nonlinear finite element method based on non-linear potential flow theory. A mixed Eulerian-Lagrangian technique combined with 4th-order Runge-Kutta method is employed to advance the solution in time. A regridding technique based on cubic spline is applied to the free surface for every finite time step to avoid possible numerical instabilities

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