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Numerical Study of Liquid Dynamics in Partially Filled Circular Tanks

[+] Author Affiliations
Liang Xu, Liming Dai

University of Regina, Regina, Saskatchewan, Canada

Paper No. PVP2005-71685, pp. 693-698; 6 pages
doi:10.1115/PVP2005-71685
From:
  • ASME 2005 Pressure Vessels and Piping Conference
  • Volume 4: Fluid Structure Interaction
  • Denver, Colorado, USA, July 17–21, 2005
  • Conference Sponsors: Pressure Vessels and Piping Division
  • ISBN: 0-7918-4189-8 | eISBN: 0-7918-3763-7
  • Copyright © 2005 by ASME

abstract

The liquid dynamics in partially filled circular tanks has been studied by numerically solving the natural frequencies and transient liquid motion. The governing equations for liquid in tanks are based on the potential flow theory. Instead of direct discretization in the 2D circular area, the governing equations are rearranged in such a way that the discretization is performed in a fixed square area by continuous coordinate mappings to overcome the difficulties in dealing with the boundary conditions on the circular edge and the free surface. The natural frequencies of liquid sloshing in partially filled circular tanks are determined by solving generalized eigenvalue problem of liquid under different fill levels. Transient liquid motion is simulated when the tank is subjected to motion in the lateral direction, which is represented by different prescribed lateral accelerations. The forces caused by the change of liquid pressure on the tank walls are calculated.

Copyright © 2005 by ASME

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