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Ocean Systems Engineering Volume 13, Number 1, March 2023 , pages 057-77 DOI: https://doi.org/10.12989/ose.2023.12.1.057 |
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Finite element based total response analysis of rectangular liquid containers against different excitations |
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Kalyan Kumar Mandal
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| Abstract | ||
| In the present study, the total hydrodynamic pressure exerted by the fluid on walls of rectangular tanks due to horizontal excitations of different frequencies, is investigated by pressure based finite element method. Fluid within the tanks is invisid, compressible and its motion is considered to be irrotational and it is simulated by two dimensional eight-node isoparametric. The walls of the tanks are assumed to be rigid. The total hydrodynamic pressure increases with the increase of exciting frequency and has maximum value when the exciting frequency is equal to the fundamental frequency. However, the hydrodynamic pressure has decreasing trend for the frequency greater than the fundamental frequency. Hydrodynamic pressure at the free surface is independent to the height of fluid. However, the pressure at base and mid height of vertical wall depends on height of fluid. At these two locations, the hydrodynamic pressure decreases with the increase of fluid depth. The depth of undisturbed fluid near the base increases with the increase of depth of fluid when it is excited with fundamental frequency of fluid. The sloshing of fluid with in the tank increases with the increase of exciting frequency and has maximum value when the exciting frequency is equal to the fundamental frequency of liquid. However, this vertical displacement is quite less when the exciting frequency is greater than the fundamental frequency. | ||
| Key Words | ||
| compressibility of water; finite element method; fundamental frequency; sloshed displacement; total hydrodynamic pressure | ||
| Address | ||
| Kalyan Kumar Mandal: Department of Civil Engineering, Jadavpur University, India | ||
