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Radial migration and motion characteristics of elastic fibers in cylindrical Couette flow: a numerical simulation study

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Abstract

This study investigated the motion characteristics of an elastic fiber migrating in cylindrical Couette flow through numerical simulation. The immersed boundary-lattice Boltzmann method was employed to solve for fluid–fiber interaction. The results demonstrate a clear and noteworthy trend of radial migration in fiber movement as a result of centrifugal force. During radial migration, the elastic fiber first undergoes a non-recurring tumbling motion, then switches to a translation motion, and arrives at the outer cylinder with a slightly curved morphology. Increasing the Reynolds number (Re) and Dean number of the flow field enhances both fiber migration efficiency and the degree of fiber deformation. An increase in Re slows down the radial migration of the fiber during the tumbling stage, while accelerating the radial migration during the translation stage. When shorter fibers are initially placed close to the outer cylinder, the wall’s influence may delay or even prevent their tumbling motion. Extending the fiber length can markedly encourage tumbling motion in such cases. As tumbling motions speed up the migration process, increasing the length of the fiber leads to increased radial migration efficiency.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

References

  1. Kuipers, K.J., Hysom, S.J.: Chapter 7 - Common Problems and Solutions in Experiments. In: Webster, M., Sell, J. (eds.) Laboratory Experiments in the Social Sciences (Second Edition), pp. 145–177. Academic Press, San Diego (2014)

    Chapter  Google Scholar 

  2. Jeffery, G.B.: The motion of ellipsoidal particles immersed in a viscous fluid. Proc. R. Soc. Lond. 102(715), 161–179 (1922)

    MATH  Google Scholar 

  3. Forgacs, O.L., Mason, S.G.: Particle motions in sheared suspensions: X. Orbits of flexible threadlike particles. J. Colloid Sci. 14(5), 473–491 (1959)

    Article  Google Scholar 

  4. du Roure, O., et al.: Dynamics of flexible fibers in viscous flows and fluids. Annu. Rev. Fluid Mech. 51(1), 539–572 (2017)

    Article  MathSciNet  MATH  Google Scholar 

  5. Ross, R.F., Klingenberg, D.J.: Dynamic simulation of flexible fibers composed of linked rigid bodies. J. Chem. Phys. 106(7), 2949–2960 (1997)

    Article  Google Scholar 

  6. Kabanemi, K.K., Hétu, J.-F.: Effects of bending and torsion rigidity on deformation and breakage of flexible fibers: a direct simulation study. J. Chem. Phys. 136(7), 074903 (2012)

    Article  Google Scholar 

  7. Nguyen, H., Fauci, L.: Hydrodynamics of diatom chains and semiflexible fibres. J. R. Soc. Interface 11(96), 20140314 (2014)

    Article  Google Scholar 

  8. Becker, L.E., Shelley, M.J.: Instability of elastic filaments in shear flow yields first-normal-stress differences. Phys. Rev. Lett. 87(19), 198301 (2001)

    Article  Google Scholar 

  9. Salussolia, G., et al.: Simulation of interacting elastic sheets in shear flow: Insights into buckling, sliding, and reassembly of graphene nanosheets in sheared liquids. Phys. Fluids 34(5), 053311 (2022)

    Article  Google Scholar 

  10. Delmotte, B., Climent, E., Plouraboué, F.: A general formulation of Bead Models applied to flexible fibers and active filaments at low Reynolds number. J. Comput. Phys. 286, 14–37 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  11. Dotto, D., Marchioli, C.: Orientation, distribution, and deformation of inertial flexible fibers in turbulent channel flow. Acta Mech. 230(2), 597–621 (2019)

    Article  MathSciNet  Google Scholar 

  12. Dotto, D., Soldati, A., Marchioli, C.: Deformation of flexible fibers in turbulent channel flow. Meccanica 55(2), 343–356 (2020)

    Article  MathSciNet  Google Scholar 

  13. Żuk, P.J., et al.: Universal features of the shape of elastic fibres in shear flow. J. Fluid Mech. 914, A31 (2021)

    Article  MathSciNet  MATH  Google Scholar 

  14. Di Giusto, D., Marchioli, C.: Turbulence modulation by slender fibers. Fluids 7(8), 255 (2022)

    Article  Google Scholar 

  15. Pei, Z., Yu, C.: Numerical study on the effect of nozzle pressure and yarn delivery speed on the fiber motion in the nozzle of Murata vortex spinning. J. Fluids Struct. 27(1), 121–133 (2011)

    Article  Google Scholar 

  16. Peskin, C.S.: Numerical analysis of blood flow in the heart. J. Comput. Phys. 25(3), 220–252 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  17. Zhu, L., Peskin, C.S.: Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method. J. Comput. Phys. 179(2), 452–468 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  18. Huang, W.-X., Shin, S.J., Sung, H.J.: Simulation of flexible filaments in a uniform flow by the immersed boundary method. J. Comput. Phys. 226(2), 2206–2228 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Feng, Z.-G., Michaelides, E.E.: The immersed boundary-lattice Boltzmann method for solving fluid–particles interaction problems. J. Comput. Phys. 195(2), 602–628 (2004)

    Article  MATH  Google Scholar 

  20. Tian, F.-B., et al.: An efficient immersed boundary-lattice Boltzmann method for the hydrodynamic interaction of elastic filaments. J. Comput. Phys. 230(19), 7266–7283 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  21. Yuan, H.-Z., et al.: A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating a flexible filament in an incompressible flow. Comput. Math. Appl. 67(5), 1039–1056 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  22. Kanchan, M., Maniyeri, R.: Numerical analysis of the buckling and recuperation dynamics of flexible filament using an immersed boundary framework. Int. J. Heat Fluid Flow 77, 256–277 (2019)

    Article  Google Scholar 

  23. Wang, Z., Wei, Y.K., Qian, Y.: Study of flapping filaments using the immersed boundary-lattice Boltzmann method. Text. Res. J. 89(15), 3127–3136 (2018)

    Article  Google Scholar 

  24. Jin, Y., Liu, Y., Cui, J.: Numerical study on the motion characteristics of an elastic fiber migrating in a cylindrical Couette flow with centrifugal effect. Acta. Mech. Sin. 39(3), 322423 (2023)

    Article  MathSciNet  Google Scholar 

  25. Liu, Q.-Y., et al.: Hydrodynamic study of sperm swimming near a wall based on the immersed boundary-lattice Boltzmann method. Eng. Appl. Comput. Fluid Mech. 14, 853–870 (2020)

    Google Scholar 

  26. Zhu, L.: Simulation of an inhomogeneous elastic filament falling in a flowing viscous fluid. Phys. Fluids 19(1), 017113 (2007)

    Article  MATH  Google Scholar 

  27. Zhu, L., Peskin, C.S.: Interaction of two flapping filaments in a flowing soap film. Phys. Fluids 15(7), 1954–1960 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  28. Niu, X.D., et al.: A momentum exchange-based immersed boundary-lattice Boltzmann method for simulating incompressible viscous flows. Phys. Lett. A 354(3), 173–182 (2006)

    Article  MATH  Google Scholar 

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Acknowledgements

This work is supported by the National Natural Science Foundation of China [Grant Nos. 51976200 and 12202393] and Natural Science Foundation of Zhejiang Province [Grant No. LQ20E060009].

Funding

The Funding was provided by National Natural Science Foundation of China, (51976200), Yuzhen Jin, (12202393), Jingyu Cui, Natural Science Foundation of Zhejiang Province, (LQ20E060009), Jingyu Cui.

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  1. Key Laboratory of Fluid Transmission Technology of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou, China

    Jingyu Cui, Yibo Liu, Chunhui Leng & Yuzhen Jin

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  1. Jingyu Cui
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  2. Yibo Liu
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  3. Chunhui Leng
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  4. Yuzhen Jin
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Correspondence to Yuzhen Jin.

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Cui, J., Liu, Y., Leng, C. et al. Radial migration and motion characteristics of elastic fibers in cylindrical Couette flow: a numerical simulation study. Acta Mech 234, 6439–6450 (2023). https://doi.org/10.1007/s00707-023-03723-y

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  • DOI: https://doi.org/10.1007/s00707-023-03723-y

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