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Viscous liquid sloshing dam** in cylindrical container using a volume of fluid method

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Abstract

Liquid sloshing is a kind of very complicated free surface flow and exists widely in many fields. In order to calculate liquid sloshing dam** precisely a volume of fluid method based on finite volume scheme is used to simulate free surface flows in partly filled cylindrical containers. A numerical method is presented to simulate the movement of the free surface flow, in which a piecewise linear interface construction scheme and an unsplit Lagrangian advection scheme instead of Eulerian advection scheme are used. The dam** performance of liquid sloshing in cylindrical containers under fundamental sloshing mode is investigated. There are four factors determining the surface-wave dam**: free surface, boundary-layer, interior fluid and contact line. In order to study different contributions from these four factors to whole dam**, several examples are simulated. No-slip and slip wall boundary conditions on both side wall and bottom wall of the cylindrical containers are studied to compare with the published results obtained by solving Stokes equations. In the present method the first three main factors can be considered. The simulation results show that the boundary-layer dam** contribution increases while the interior fluid dam** contribution decreases with increase of Reynolds number.

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References

  1. Henderson D M, Miles J W. Surface-wave dam** in a circular cylinder with a fixed contact line. J Fluid Mechanics, 1994, 275: 285–299

    Article  MathSciNet  MATH  Google Scholar 

  2. Dorrenstein R. General linearized theory of the effect of surface films on water ripples. Proc K Ned Akad Wet, 1951, B54: 260

    MathSciNet  Google Scholar 

  3. Miles J W. Surface-wave dam** in closed basins. Proc R Soc Lond, 1967, A297: 459–475

    Article  Google Scholar 

  4. Martel C, Nicolas J A, Vega J M. Surface-wave dam** in a brimful circular cylinder. J Fluid Mechanics, 1998, 360: 213–228

    Article  MathSciNet  MATH  Google Scholar 

  5. Miles J W, Henderson D M. A note on interior vs boundary-layer dam** of surface waves in circular cylinder. J Fluid Mechanics, 1998, 364: 319–323

    Article  MathSciNet  MATH  Google Scholar 

  6. Howell D R, Buhrow B, Heath T, et al. Measurements of surface-wave dam** in a container. Physics Fluids, 2000, 12(2): 322–326

    Article  MATH  Google Scholar 

  7. Nicolas J A, Vega J M. A note on the effect of surface contamination in water wave dam**. J Fluid Mechanics, 2000, 410: 367–373

    Article  MathSciNet  MATH  Google Scholar 

  8. Nicolas J A. The viscous dam** of capillary-gravity waves in a brimful circular cylinder. Physics of Fluids, 2002, 14(6): 1910–1919

    Article  MathSciNet  MATH  Google Scholar 

  9. Nicolas J A, Vega J M. Linear oscillations of axisymmetric viscous liquid bridges. Zeit Schrift fur Angewandte Mathematik und Physik, 2000, 51(5): 701–731

    Article  MathSciNet  MATH  Google Scholar 

  10. Bauer H F, Eidel W. Oscillations of a viscous liquid in a cylindrical container. Aerospace Sci Tech, 1997, 8: 519–532

    Article  MATH  Google Scholar 

  11. Bauer H F, Eidel W. Free oscillations and response of a viscous liquid in a rigid circular cylindrical tank. Aerospace Sci Tech, 1999, 3: 495–512

    Article  MATH  Google Scholar 

  12. Bauer H F, Eidel W. Linear response of a viscous liquid to translational excitation. Forschung im Ingenieurwesen, 2002, 67: 72–83

    Article  Google Scholar 

  13. Robertson I, Sherwin S J, Graham J M R. Comparison of wall boundary conditions for numerical viscous free surface flow simulation. J Fluids Struct, 2004, 19: 525–542

    Article  Google Scholar 

  14. Renardy M, Renardy Y, Li J. Numerical simulation of moving contact line problems using a volume-of-fluid method. J Computat Phys, 2001, 171: 242–263

    Article  MATH  Google Scholar 

  15. Gueyffier G, Li J, Nadim A, et al. Volume-of-fluid interface tracking with smoothed surface stress methods for three dimensional flows. J Comput Phys, 1999, 152: 423–456

    Article  MATH  Google Scholar 

  16. Wachem B G M, Schouten J C. Experimental validation of 3-d Lagrangian VOF model: Bubble shape and rise velocity. AIChE, 2002, 48(12): 2744–2753

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Thermal Engineering, State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Bei**g, 100084, China

    Wei Yang & ShuHong Liu

  2. Design and Research Institute of Launch Vehicle, Bei**g, 100076, China

    Hong Lin

Authors
  1. Wei Yang
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  2. ShuHong Liu
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  3. Hong Lin
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Correspondence to Wei Yang.

Additional information

Supported by the National Natural Science Foundation of China (Grant No. 10532010)

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Yang, W., Liu, S. & Lin, H. Viscous liquid sloshing dam** in cylindrical container using a volume of fluid method. Sci. China Ser. E-Technol. Sci. 52, 1484–1492 (2009). https://doi.org/10.1007/s11431-009-0182-5

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  • DOI: https://doi.org/10.1007/s11431-009-0182-5

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