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Research Papers: Fluid-Structure Interaction

Sloshing Analysis of Flowing Liquid in 3D Tank Using Boundary Elements Method

[+] Author and Article Information
R. D. Firouz-Abadi

Assistant Professor
e-mail: Firouzabadi@sharif.edu

M. R. Borhan-Panah

e-mail: borhanpanah@ae.sharif.ir
Department of Aerospace Engineering,
Sharif University of Technology,
Tehran 11155-8639, Iran

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received January 26, 2012; final manuscript received November 18, 2012; published online March 18, 2013. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 135(2), 021301 (Mar 18, 2013) (8 pages) Paper No: PVT-12-1011; doi: 10.1115/1.4023419 History: Received January 26, 2012; Revised November 18, 2012

A numerical model based on the boundary element method is proposed for the sloshing of a flowing liquid in a three-dimensional tank. Assuming a mean flow in the tank in addition to a perturbation flow, the nonlinear boundary conditions of the liquid free-surface are linearized. Using the boundary element method along with the modal analysis technique a reduced order model is obtained which is used to calculate the fundamental sloshing frequencies and modes in the tank with an inlet and outlet. The obtained results for a test case are compared with the literature data to validate the proposed model. The results are in a very good agreement with analytical results and show an acceptable comparison with experimental data. Then a rectangular tank is provided for further studies and the effects of flow inlet position and velocity on the sloshing frequencies and modes are investigated.

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References

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Figures

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Fig. 1

The Geometry and boundary element model of the verification tank

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Fig. 2

Variation of the first and second sloshing frequencies versus the mean flow speed on the free-surface for the verification tank

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Fig. 3

The boundary element model, geometry and inlet/outlet positions for tank # 1

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Fig. 4

The velocity field due to the steady mean potential over the free-surface when z = 1 and inlet flow speed uin=1m/s (Tank #1)

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Fig. 5

The fundamental sloshing modes for three inflow velocities when z = 1 (Tank #1)

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Fig. 6

Variation of the first and second sloshing frequencies versus the inlet flow speed for different inlet positions (Tank #1)

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Fig. 7

The geometry and inlet/outlet positions for tank # 2

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Fig. 8

Velocity field due to the steady mean potential over the free-surface for z = 1 and inlet flow speed uin=1 m/s (Tank #2)

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Fig. 9

The fundamental sloshing mode for three inflow velocities when z = 1 (Tank #2)

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Fig. 10

Variation of the first and second sloshing frequencies versus the inlet flow speed for different inlet positions (Tank #2)

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