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Numerical Analysis of Externally-Induced Sloshing in Spherical Liquid Containers
Motivated by the earthquake response of industrial pressure vessels, the present chapter investigates externally-induced sloshing in spherical liquid containers. Assuming ideal and irrotational flow, small-amplitude free-surface elevation, the problem is solved through a variational (Garlerkin) formulation that uses either a numerical finite element formulation or a semi-analytical methodology in terms of harmonic global functions that allows for high-precision computations. Considering modal analysis and an appropriate decomposition of the container-fluid motion, the sloshing frequencies and the corresponding sloshing (or convective) masses are calculated, leading to a simple and efficient method for predicting the dynamic behavior of spherical liquid containers. In both solution methodologies, the accuracy and convergence of the results are examined. The calculated sloshing frequencies and masses are in very good comparison with available semi-analytical or numerical solutions, and previously reported experimental data. It is also shown that consideration of only the first sloshing mass is adequate to represent the dynamic behavior of the spherical liquid container within a good level of accuracy.
Numerical Analysis of Externally-Induced Sloshing in Spherical Liquid Containers
Motivated by the earthquake response of industrial pressure vessels, the present chapter investigates externally-induced sloshing in spherical liquid containers. Assuming ideal and irrotational flow, small-amplitude free-surface elevation, the problem is solved through a variational (Garlerkin) formulation that uses either a numerical finite element formulation or a semi-analytical methodology in terms of harmonic global functions that allows for high-precision computations. Considering modal analysis and an appropriate decomposition of the container-fluid motion, the sloshing frequencies and the corresponding sloshing (or convective) masses are calculated, leading to a simple and efficient method for predicting the dynamic behavior of spherical liquid containers. In both solution methodologies, the accuracy and convergence of the results are examined. The calculated sloshing frequencies and masses are in very good comparison with available semi-analytical or numerical solutions, and previously reported experimental data. It is also shown that consideration of only the first sloshing mass is adequate to represent the dynamic behavior of the spherical liquid container within a good level of accuracy.
Numerical Analysis of Externally-Induced Sloshing in Spherical Liquid Containers
Computational Methods
Papadrakakis, Manolis (editor) / Fragiadakis, Michalis (editor) / Lagaros, Nikos D. (editor) / Karamanos, Spyros A. (author) / Patkas, Lazaros A. (author) / Papaprokopiou, Dimitris (author)
2010-11-16
25 pages
Article/Chapter (Book)
Electronic Resource
English
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