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Particle-Based Modeling of Asymmetric Flexible Fibers in Viscous Flows

Part of:Basic methods in fluid mechanicsIncompressible viscous fluidsNumerical methods

Published online by Cambridge University Press:  28 July 2017

Xiufeng Yang and
Moubin Liu
Xiufeng Yang*
Affiliation:
Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, ChinaDepartment of Mechanical Engineering, Iowa State University, Ames, IA 50011, USA
Moubin Liu*
Affiliation:
BIC-ESAT, College of Engineering, Peking University, Beijing 100187, ChinaState Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, China
*
*Corresponding author. Email addresses:xyang@iastate.edu (X. F. Yang), mbliu@pku.edu.cn (M. B. Liu)
*Corresponding author. Email addresses:xyang@iastate.edu (X. F. Yang), mbliu@pku.edu.cn (M. B. Liu)

Abstract

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The present paper follows our previous work [Yang et al., Phys. Rev. E, 90 (2014), 063011] in which the bending modes of a symmetric flexible fiber in viscous flows were studied by using a coupling approach of smoothed particle hydrodynamics (SPH) and element bending group (EBG). It was shown that a symmetric flexible fiber can undergo four different bending modes including stable U-shape, slight swing, violent flapping and stable closure modes. For an asymmetric flexible fiber, the bending modes can be different. This paper numerically studies the fiber shape, flow field and fluid drag of an asymmetric flexible fiber immersed in a viscous fluid flow by using the SPH-EBG coupling method. An asymmetric number is defined to describe the asymmetry of a flexible fiber. The effects of the asymmetric number on the fiber shape, flow field and fluid drag are investigated.

Keywords

Fluid-structure interactionasymmetric flexible fiberdrag forcesmoothed particle hydrodynamics (SPH)element bending group (EBG)

MSC classification

Secondary:76M28: Particle methods and lattice-gas methods76D99: None of the above, but in this section74S99: None of the above, but in this section

Information

Type
Research Article
Information
Communications in Computational Physics , Volume 22 , Issue 4 , October 2017, pp. 1015 - 1027
Copyright
Copyright © Global-Science Press 2017 

References

[1] Wu, T. Y., Fish swimming and bird/insect flight, Annu. Rev. Fluid Mech., 43 (2011), 25–58.Google Scholar
[2] Liao, J. C., Beal, D. N., Lauder, G. V. and Triantafyllou, M. S., Fish exploiting vortices decrease muscle activity, Science, 302 (2003), 1566–1569.Google Scholar
[3] Vogel, S., Drag and reconfiguration of broad leaves in high winds, J. Exp. Bot., 40 (1989), 941–948.CrossRefGoogle Scholar
[4] Vogel, S., Drag and flexibility in sessile organisms, American Zoologist, 24 (1984), 37–44.Google Scholar
[5] Shelley, M. J. and Zhang, J., Flapping and bending bodies interacting with fluid flows, Annu. Rev. Fluid Mech., 43 (2011), 449–465.CrossRefGoogle Scholar
[6] Schouveiler, L. and Eloy, C., Flow-induced draping, Phys. Rev. Lett., 111 (2013), 064301.CrossRefGoogle ScholarPubMed
[7] Vogel, S., Life in Moving Fluids: the Physical Biology of Flow, Princeton University Press, Princeton, 1994.Google Scholar
[8] Miller, L. A., Santhanakrishnan, A., Jones, S., Hamlet, C., Mertens, K. and Zhu, L., Reconfiguration and the reduction of vortex-induced vibrations in broad leaves, J. Exp. Biol., 215 (2012), 2716–2727.Google Scholar
[9] Gossellin, F., de Langre, E. and Machado-Almeida, B. A., Drag reduction of flexible plates by reconfiguration, J. Fluid Mech., 650 (2010), 319–341.Google Scholar
[10] Alben, S., Shelley, M. and Zhang, J., Drag reduction through self-similar bending of a flexible body, Nature, 420 (2002), 479–481.CrossRefGoogle ScholarPubMed
[11] Alben, S., Shelley, M. and Zhang, J., How flexibility induces streamlining in a two-dimensional flow, Phys. Fluids, 16 (2004), 1694–1713.Google Scholar
[12] Yang, X. F., Liu, M. B. and Peng, S. L., Smoothed particle hydrodynamics and element bending group modeling of flexible fibers interacting with viscous fluids, Phys. Rev. E, 90 (2014), 063011.CrossRefGoogle ScholarPubMed
[13] Yang, X. F. and Liu, M. B., Bending modes and transition criteria for a flexible fiber in viscous flows, J. Hydrodyn., 28 (2016), 1043–1048.CrossRefGoogle Scholar
[14] Yang, X. F., Liu, M. B., Peng, S. L. and Huang, C. G., Numerical modeling of dam-break flow impacting on flexible structures using an improved SPH–EBG method, Coast. Eng., 108 (2016), 56–64.Google Scholar
[15] Liu, M. B. and Liu, G. R., Smoothed Particle Hydrodynamics (SPH): an overview and recent developments, Arch. Comput. Methods Eng., 17 (2010), 25–76.Google Scholar
[16] Zhou, D. and Wagoner, R., Development and application of sheet-forming simulation, J. Mater. Process Tech., 50 (1995), 1–16.Google Scholar
[17] Hosseini, S. M. and Feng, J. J., A particle-based model for the transport of erythrocytes in capillaries, Chem. Eng. Sci., 64 (2009), 4488–4497.CrossRefGoogle Scholar
[18] Monaghan, J. J., Smoothed particle hydrodynamics, Ann. Rev. Astron. Astrophys., 30 (1992), 543–574.Google Scholar
[19] Lucy, L. B., A numerical approach to the testing of the fission hypothesis, Astron. J., 82 (1977), 1013–1024.CrossRefGoogle Scholar
[20] Gingold, R. A. and Monaghan, J. J., Smoothed particle hydrodynamics: theory and application to non-spherical stars, Mon. Not. R. Astron. Soc., 181 (1977), 375–389.Google Scholar
[21] Yang, X. F., Peng, S. L. and Liu, M. B., A new kernel function for SPH with applications to free surface flows, Appl. Math. Model., 38 (2014), 3822–3833.Google Scholar
[22] Yang, X. F., Liu, M. B. and Peng, S. L., Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability, Comput. Fluids, 92 (2014), 199–208.CrossRefGoogle Scholar
[23] Yang, X., Dai, L. and Kong, S.-C., Simulation of liquid drop impact on dry and wet surfaces using SPH method, P. Combust. Inst., 36 (2017), 2393–2399.CrossRefGoogle Scholar
[24] Morris, J. P., Fox, P. J. and Zhu, Y., Modeling low Reynolds number incompressible flows using SPH, J. Comput. Phys., 136 (1997), 214–226.Google Scholar
[25] Liu, M. B. and Li, S. M., On the modeling of viscous incompressible flows with smoothed particle hydro-dynamics, J. Hydrodyn., 28 (2016), 731–745.Google Scholar
[26] Yang, X. F., Peng, S. L., Liu, M. B. and Shao, J. R., Numerical simulation of ballast water by SPH method, Int. J. Comput. Meth., 9 (2012), 1240002.Google Scholar
[27] Yang, X. F. and Liu, M. B., Numerical modeling of oil spill containment by boom using SPH, Sci. China Phys. Mech. Astron., 56 (2013), 315–321.Google Scholar