Transactions of the Korean Society of Mechanical Engineers B (대한기계학회논문집B)

The Korean Society of Mechanical Engineers (대한기계학회)
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Numerical Model of Propulsive Behavior of a Rotating Spring in Viscous Fluid

점성유체 중에 회전하는 스프링의 추진적 거동에 관한 수치해석 모델

  • Received : 2014.12.17
  • Accepted : 2015.04.18
  • Published : 2015.06.01
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Abstract

In this paper, we study the propulsive behavior related to the flagellar motion of bacteria using a spring model. A commercial program was used to conduct simulations, and we verified the numerical technique by setting an additional rotating domain and conducting a parametric study. The numerical results are in good agreement with slender-body theory, although overall, they are not in agreement with resistive-force theory. We confirm the effect of the rotational velocity, pitch, helical radius, fluid viscosity, and, in particular, the distance from the wall on the propulsion of the spring.

본 논문에서는 박테리아 편모를 모사한 스프링 모델을 이용하여 박테리아의 편모의 추진적 거동에 관한 연구를 수행하였다. 본 해석에서는 상용프로그램을 사용하였으며, 별도의 회전영역 설정에 따른 수치기법의 타당성 확인과 더불어 파라미터 연구를 수행하였다. 수치해석 결과는 전반적으로 Resistive force theory와는 잘 일치하지 않았지만, Slender body theory와는 잘 일치하였다. 그리고 스프링의 회전속도, 피치, 나선반경 및 유체의 점성의 영향을 확인하였다. 또한 벽과의 거리에 따른 효과도 분석하였다.

Keywords

References

  1. Cho, J. H. and Jin, S. W., 2012, "Flow Visualization of Rotating Flagellar Propeller near Solid Boundary," Proc. KSME Autumn Conf., pp. 1654-1657.
  2. Ranjith, M., 2012, "Numerical Study on Bacterial Flagellar Motion and Bundling Using an Immersed Boundary Method," Ph. D Dissertation Submitted to the Graduate School, Dong-A University, Korea.
  3. Sowa, Y. and Berry, R. M., 2008, "Bacterial Flagellar Motor," Q. Rev. Biophys., Vol. 41, No. 2, pp. 103-132. https://doi.org/10.1017/S0033583508004691
  4. Choi, W. Y., 2014, "Numerical Study on the Propulsion and Flow Field of the Spring Mimicking a Flagellum of Bacteria," M. S. Thesis Submitted to the Graduate School, Dong-A University, Korea.
  5. Kumar, M. S. and Philominathan, P., 2011, "Computational Fluid Dynamics Modeling Studies on Bacterial Flagellar Motion," IJFMS, Vol. 4, No. 3, pp. 341-348.
  6. Rodenborn, B., Chen, C-H, Swinney, H. L., Liu, B. and Zhang, H. P., 2013, "Propulsion of Microorganisms by a Helical Flagellum," PNAS, Vol. 110, No. 5, pp. E338-E347. https://doi.org/10.1073/pnas.1219831110
  7. Gowtham, B., 2013, "Study on the Behavior of Needles and Springs Falling Freely in a Viscous Fluid," M. S. Thesis Submitted to the Graduate School, Dong-A University, Korea.
  8. Lauga, E., Diluzio, W. R., Whitesides, G. M. and Stone, H. A., 2006, "Swimming in Circles: Motion of Bacteria near Solid Boundaries," Biophys. J., Vol. 90, No. 1, pp. 400-412. https://doi.org/10.1529/biophysj.105.069401
  9. Goto, T., Nakata, K., Baba, K., Nishimura, M. and Magariyama, Y., 2005, "A Fluid-Dynamic Interpretation of the Symmetric Motion of Singly Flagellated Bacteria Swimming Close to a Boundary," Biophys. J., Vol. 89, pp. 3771-3779. https://doi.org/10.1529/biophysj.105.067553

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  1. Study on the Linear Static Structural Analysis Error of Helical Compression Springs vol.40, pp.2, 2016, https://doi.org/10.3795/KSME-A.2016.40.2.237