Skip to main content
Log in

Three-dimensional rotational dynamics of prolate particles in a circular tube

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The 3D rotational dynamics of prolate particles in a low Re circular tube flow is experimentally analyzed by employing digital holographic microscopy. The 3D rotational motion of prolate particles is observed and compared with the existing theory on 3D particle dynamics. A particle tumbles with different orientations in a low Re tube flow. The rotational period of particles in a circular tube depends on their radial location. The rotational period of particles located at the non-equilibrium position inside the circular tube differs from that in the previous studies. The deviation from the theoretical results increases as the particle locates away from the equilibrium radial position of 0.5R. This experimental analysis provides unrevealed 3D rotational features of prolate particles and can help develop a new model for the rotational motion of ellipsoidal particles in a circular conduit.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Bretherton FP (1962) The motion of rigid particles in a shear flow at low Reynolds number. J Fluid Mech 14:284–304

    Article  MathSciNet  MATH  Google Scholar 

  • Byeon HJ, Seo KW, Lee SJ (2015) Precise measurement of three-dimensional positions of transparent ellipsoidal particles using digital holographic microscopy. Appl Optics 54:2106–2112

    Article  Google Scholar 

  • Byeon H, Go T, Lee SJ (2016) Precise measurement of orientations of transparent ellipsoidal particles through digital holographic microscopy. Opt Express 24:598–610

    Article  Google Scholar 

  • Champion JA, Mitragotri S (2006) Role of target geometry in phagocytosis. P Natl Acad Sci USA 103:4930–4934

    Article  Google Scholar 

  • Choi Y-S, Lee S-J (2010) Holographic analysis of three-dimensional inertial migration of spherical particles in micro-scale pipe flow. Microfluid Nanofluid 9:819–829

    Article  Google Scholar 

  • Choi Y-S, Seo K-W, Sohn M-H, Lee S-J (2012) Advances in digital holographic micro-PTV for analyzing microscale flows. Opt Laser Eng 50:39–45

    Article  Google Scholar 

  • Di Carlo D (2009) Inertial microfluidics. Lab Chip 9:3038–3046

    Article  Google Scholar 

  • Di Carlo D, Edd JF, Humphry KJ, Stone HA, Toner M (2009) Particle segregation and dynamics in confined flows. Phys Rev Lett 102:094503

    Article  Google Scholar 

  • Feng J, Joseph D (1995) The unsteady motion of solid bodies in creeping flows. J Fluid Mech 303:83–102

    Article  MathSciNet  MATH  Google Scholar 

  • Goldsmith H, Mason S (1962) The flow of suspensions through tubes. I. Single spheres, rods, and discs. J Coll Sci 17:448–476

    Article  Google Scholar 

  • Goodman JW (1996) Introduction to Fourier optics. McGrqw-Hill, New York

    Google Scholar 

  • Harper E, Chang I-D (1968) Maximum dissipation resulting from lift in a slow viscous shear flow. J Fluid Mech 33:209–225

    Article  MATH  Google Scholar 

  • Ho C, Keller A, Odell J, Ottewill R (1993) Preparation of monodisperse ellipsoidal polystyrene particles. Colloid Polm Sci 271:469–479

    Article  Google Scholar 

  • Huang H, Yang X, Krafczyk M, Lu X-Y (2012) Rotation of spheroidal particles in Couette flows. J Fluid Mech 692:369–394

    Article  MathSciNet  MATH  Google Scholar 

  • Jeffery GB (1922) The motion of ellipsoidal particles immersed in a viscous fluid. Proc R Soc Lond A 102:161–179

    Article  MATH  Google Scholar 

  • Karnis A, Goldsmith H, Mason S (1966) The flow of suspensions through tubes: V. Inertial effects. Can J Chem Eng 44:181–193

    Article  Google Scholar 

  • Katz J, Sheng J (2010) Applications of holography in fluid mechanics and particle dynamics. Annu Rev Fluid Mech 42:531–555

    Article  Google Scholar 

  • Keville K, Franses E, Caruthers J (1991) Preparation and characterization of monodisperse polymer microspheroids. J Colloid Interf Sci 144:103–126

    Article  Google Scholar 

  • Mao W, Alexeev A (2014) Motion of spheroid particles in shear flow with inertia. J Fluid Mech 749:145–166

    Article  Google Scholar 

  • Memmolo P, Miccio L, Paturzo M et al (2015) Recent advances in holographic 3D particle tracking. Adv Opt Photonics 7:713–755

    Article  Google Scholar 

  • Pan T-W, Chang C-C, Glowinski R (2008) On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow. Comput Method Appl M 197:2198–2209

    Article  MathSciNet  MATH  Google Scholar 

  • Rosén T, Lundell F, Aidun C (2014) Effect of fluid inertia on the dynamics and scaling of neutrally buoyant particles in shear flow. J Fluid Mech 738:563–590

    Article  Google Scholar 

  • Shanley KT, Ahmadi G (2011) A numerical model for simulating the motions of ellipsoidal fibers suspended in low reynolds number shear flows. Aerosol Sci Tech 45:838–848

    Article  Google Scholar 

  • Yu Z, Phan-Thien N, Tanner RI (2007) Rotation of a spheroid in a Couette flow at moderate Reynolds numbers. Phys Rev E 76:026310

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Research Foundation of Korea (NRF) Grant funded by the Korean government (MSIP) (No. 2017R1A2B3005415).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sang Joon Lee.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Byeon, H., Lee, S.J. Three-dimensional rotational dynamics of prolate particles in a circular tube. Exp Fluids 59, 26 (2018). https://doi.org/10.1007/s00348-017-2483-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00348-017-2483-y

Navigation