Discrete singularities method in problems of liquid vibrations in spherical tanks
Keywords:
ideal incompressible liquid, sloshing, spherical shell, baffle, singular integral equations, boundary element method
Abstract
This paper presents an analysis of low-frequency liquid vibrations in rigid partially filled spherical containers with baffles. The liquid is supposed to be an ideal and incompressible one and its flow is irrotational. A shell of revolution is considered as the container model. For evaluating a velocity potential the system of singular boundary integral equations has been obtained. The discrete singularities and multi-domain reduced boundary element methods are used for its numerical simulation.Downloads
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References
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Faltinsen O.M., Timokha A.N. Analytically approximate natural sloshing modes for a spherical tank shape. //J. Fluid Mech., 2012, 703, pp. 391-401.
Kulczycki T., Kwaśnicki M., Siudeja, B. The shape of the fundamental sloshing mode in axisymmetric containers. //Journal of Engineering Mathematics, 2016. V. 99 N1, pp. 157-193,
Biswal, K. C., Bhattacharyya, S. K. & Sinha, P. K., Dynamic characteristics of liquid filled rectangular tank with baffles, //IE (I) Journal-CV 84, 2004, pp. 145–148.
Kumar, A., Sinhamahapatra K.P., Dynamics of rectangular tank with perforated vertical baffle. //Ocean Engineering, 2016, V. 126 N 1, pp. 384–401,
Faltinsen, O. M., Timokha, A. N. Sloshing. Cambridge University Press, -2009, 208 p.
Curadelli, O., Ambrosini, D., Mirasso, A. & Amani, M. Resonant frequencies in an elevated spherical container partially filled with water: FEM and measurement.// J. Fluids Struct., 2010 V. 26, N 1, pp. 148–159.
Budiansky, B. Sloshing of liquid in circular canals and spherical tanks. //J. Aerosp. Sci. 1960, V. 27, N 3, pp. 161–172.
McIver, P. Sloshing frequencies for cylindrical and spherical containers filled to an arbitrary depth.// J. Fluid Mech. 1989, N 201, pp. 243–257.
Patkas, L. & Karamanos, S. A. Variational solution of externally induced sloshing in horizontal–cylindrical and spherical vessels. //J. Engng Mech. 2007, V. 133, N 6, pp. 641–655.
Gnitko V., Naumenko V., Rozova, L., Strelnikova E. Multi-domain boundary element method for liquid sloshing analysis of tanks with baffles. //Journal of Basic and Applied Research International, 2016, V. 17, N1, pp.75-87.
Degtyarev K., Gnitko V., NaumenkoV., Strelnikova E. Reduced Boundary Element Method for Liquid Sloshing Analysis of Cylindrical and Conical Tanks with Baffles// Int. Journal of Electronic Engineering and Computer Sciences 2016, V. 1, N 1, pp.14-27.
K. Degtyarev, P. Glushich, V. Gnitko, E Strelnikova. Numerical Simulation of Free Liquid-Induced Vibrations in Elastic Shells. //International Journal of Morern Physics and Applications 2015, V. 1 N 4, pp. 159-168.
Published
2017-11-27
How to Cite
Gnitko, V., Naumenko, Y., & StrelnіkovaЕ. (2017). Discrete singularities method in problems of liquid vibrations in spherical tanks. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 34, 29-37. Retrieved from https://periodicals.karazin.ua/mia/article/view/9606
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