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Flow around a freely falling square shape particle in a channel using direct-forcing fictitious domain method

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Abstract

This paper presents a numerical investigation of the flow characteristics around a freely falling square shape particle in a two-dimensional channel. The FSI (fluid-solid interaction) has been realized by using the direct-forcing/fictitious domain (DF/FD) method. In order to identify the effect of fluid property on the flow characteristics and solid motion by FSI, a wide range of the fluid viscosity has been considered, which introduces various Reynolds numbers to this study. In addition, the off-centered distance of the square particle has been imposed to research the effect of the initial position. The centered particle is freely falling without rotation and transverse motion. However, the motion of the off-centered particle is significantly depended on the Reynolds number, so it is classified into the four regimes by the flow and moving characteristics of the particle. Quantitative information about the drag coefficient on the square particle is highlighted.

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References

  1. S. L. Soo, Particulates and Continuum: Multiphase Fluid Dynamics, Hemisphere, (1989).

  2. D. Gidaspow, Multiphase Flow and Fluidization, Academic Press, (1994).

  3. E. Guazzelli and L. Oger, Mobile Particulate Systems, Kluwer Academic, (1995).

  4. K. Pye and H. Tsoar, Aeolian Sand and Sand Dunes, Unwin Hyman, (1990).

  5. K. Höfler and S. Schwarzer, Navier-Stokes simulation with constraint forces: finite-difference method for particle-laden flows and complex geometries, Phys. Rev. E, 61(6) (2000) 7146–7160.

    Article  Google Scholar 

  6. Z. Feng and E. E. Michaelides, Proteus: a direct forcing method in the simulations of particulate flows, J. Comput. Phys., 202 (2005) 20–51.

    Article  MATH  Google Scholar 

  7. H. H. Hu, D. D. Joseph and M. J. Crochet, Direct numerical simulation of fluid particle motions, Theoret. Comput. Fluid Dyn., 3 (1992) 285–306.

    Article  MATH  Google Scholar 

  8. H. H. Hu, Direct simulation of flows of solid-liquid mixtures, Int. J. Multiphase Flows, 22 (1996) 335–352.

    Article  MATH  Google Scholar 

  9. H. H. Hu, N. A. Patankar and M. Y. Zhu, Direct numerical simulation of fluid solid systems using Arbitrary Lagrangian-Eulerian technique, J. Comput. Phys., 169 (2001) 427–462.

    Article  MATH  MathSciNet  Google Scholar 

  10. A. A. Johnson and T. E. Tezduyar, Simulation of multiple spheres falling in a liquid-filled tube, Comput. Methods Appl. Mech. Eng., 134 (1996) 351–373.

    Article  MATH  MathSciNet  Google Scholar 

  11. Z. Wang, J. Fan and K. Luo, Combined multi-direct forcing and immersed boundary method for simulating flows with moving particles, Int. J. Multiphase Flow, 34 (2008) 283–302.

    Article  Google Scholar 

  12. R. Glowinski, T.-W. Pan, T. I. Hesla and D. D. Joseph, A distributed Lagrange multiplier/fictitious domain method for particulate flows, Int. J. Multiphase Flow, 25 (1999) 755–794.

    Article  MATH  Google Scholar 

  13. R. Glowinski, T.-W. Pan, T. I. Helsa, D. D. Joseph and J. Periaux, A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow, J. Comput. Phys., 169 (2001) 363–426.

    Article  MATH  MathSciNet  Google Scholar 

  14. Z. Yu and X. Shao, A direct-forcing fictitious domain method for particulate flows, J. Comput. Phys., 227 (2007) 292–314.

    Article  MATH  Google Scholar 

  15. C. S. Peskin, Flow patterns around heart valves: a numerical method, J. Comput. Phys., 10 (1972) 252–271.

    Article  MATH  MathSciNet  Google Scholar 

  16. N. A. Patankar, P. Singh, D. D. Joseph, R. Glowinski and T.-W. Pan, A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows, Int. J. Multiphase Flow, 26 (2000) 1509–1524.

    Article  MATH  Google Scholar 

  17. M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, J. Comput. Phys., 209 (2005) 448–476.

    Article  MATH  MathSciNet  Google Scholar 

  18. Z. Yu, X. Shao and A. Wachs, A fictitious domain method for particulate flows with heat transfer, J. Comput. Phys., 217 (2006) 424–452.

    Article  MATH  MathSciNet  Google Scholar 

  19. Z. Yu, A. Wachs and Y. Peysson, Numerical simulation of particle sedimentation in shear-thinning fluids with a fictitious domain method, J. Non-Newtonian Fluid Mech., 136 (2006) 126–139.

    Article  Google Scholar 

  20. N. Sharma and N. A. Patankar, A fast computation technique for the direct numerical simulation of rigid particulate flows, J. Comput. Phys., 205 (2005) 439–457.

    Article  MATH  Google Scholar 

  21. Z. Yu and A. Wachs, A fictitious domain method for dynamics simulation of particle sedimentation in Bingham fluids, J. Non-Newtonian Fluid Mech., 145 (2007) 78–91.

    Article  Google Scholar 

  22. A. Wachs, A DEM-DLM/FD method for direct numerical simulation of particulate flows: Sedimentation of polygonal isometric particle in a Newtonian fluid with collisions, Comput. Fluids, 38 (2009) 1608–1628.

    Article  Google Scholar 

  23. A. Haider and O. Levenspiel, Drag coefficient and terminal veolocity of spherical and nonspherical particles, Power Technol., 58 (1989) 63–70.

    Article  Google Scholar 

  24. E. A. Fadlun, R. Verzicco, P. Orlandi and J. Mohd-Yusof, Combined immersed boundary finite-difference methods for three-dimensional complex flow simulations, J. Comput. Phys., 161 (2000) 35–60.

    Article  MATH  MathSciNet  Google Scholar 

  25. A. M. Roma, C. S. Peskin and M. J. Berger, An adaptive version of the immersed boundary method, J. Comput. Phys., 153 (1999) 509–534.

    Article  MATH  MathSciNet  Google Scholar 

  26. H. Choi and P. Moin, Effects of the computational Time Step on Numerical Solutions of Turbulent Flow, J. Comput. Phys., 113 (1994) 1–4.

    Article  MATH  Google Scholar 

  27. J. Feng, H. H. Hu and D. D. Joseph, Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid: Part 1. Sedimentation, J. Fluid Mech., 261 (1994) 95–134.

    Article  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan, 609-735, Korea

    Changyoung Choi & Man-Yeong Ha

  2. Advanced Ship Engineering Research Center, Pusan National University, Jang Jeon 2-Dong, Geum Jeong Gu, Busan, 609-735, Korea

    Hyun-Sik Yoon

Authors
  1. Changyoung Choi
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  2. Hyun-Sik Yoon
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  3. Man-Yeong Ha
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Correspondence to Man-Yeong Ha.

Additional information

This paper was recommended for publication in revised form by Associate Editor Haecheon Choi

Man-Yeong Ha received his B.S. degree from Pusan National University, Korea, in 1981, M.S. degree, in 1983, from Korea Advanced Institute of Science and Technology, Korea, and Ph.D. degree from Pennsylvania State University, USA in 1990. Dr. Ha is currently a Professor at the School of Mechanical Engineering at Pusan National University in Busan, Korea. He serves as an Editor of the Journal of Mechanical Science and Technology. His research interests are focused on thermal management, computational fluid dynamics, and micro/ nano fluidics.

Changyoung Choi received his B.S. and M.S. degrees from Pusan National University, Korea, in 2008 and 2010, respectively. In his master course, he conducted many researches under the supervision of Prof. Man-Yeong Ha. His research interests are focused on flow analysis and control in turbulent flows and thermo-fluid phenomena analysis for enhancing the efficiency of the industrial devices.

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Choi, C., Yoon, HS. & Ha, MY. Flow around a freely falling square shape particle in a channel using direct-forcing fictitious domain method. J Mech Sci Technol 24, 1441–1449 (2010). https://doi.org/10.1007/s12206-010-0422-4

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  • DOI: https://doi.org/10.1007/s12206-010-0422-4

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