Abstract
Behaviors of a prolate ellipsoid inside circular tube Poiseuille flow are studied experimentally. In the study, Reynolds number Re ∈ (100,700) and the confinement ratio D/A ∈ (1.2,2.8) are considered, where D is the diameter of the tube and A is the length of the major axis of the ellipsoid. Two typical stable motion modes are identified, namely, the horizontal, and inclined modes. Then another inclined mode (inclined mode II) is found at high Reynolds number (Re ∈ (1000,3200)) and small D/A, and the inclined angle of ellipsoid increases with the increase of Re. The possible mechanism is explained. Our experiment shows that the lagging velocity U increases as Re increases. Further numerical analysis using FLUENT shows that due to the increase of U, the moment acting on the particle would make the inclined angle of the particle increase.
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Zheng J., Cai J., Wang D. Suspended particle motion close to the surface of rotating cylindrical filtering membrane [J]. Physics of Fluids, 2019, 31(5): 053302.
Huang H., Wu Y., Lu X. Shear viscosity of dilute suspensions of ellipsoidal particles with a lattice Boltzmann method [J]. Physical Review E, 2012, 86(4): 046305.
Huang H., Yang X., Krafczyk M. et al. Rotation of spheroidal particles in Couette flows [J]. Journal of Fluid Mechanics, 2012, 692: 369–394.
Jeffery G. B. The motion of ellipsoidal particles immersed in a viscous fluid [J]. Proceedings of the Royal Society London Series A, 1922, 102(715): 161–179.
Qi D., Luo L. S. Rotational and orientational behavior of three-dimensional spheroidal particles in Couette flows [J]. Journal of Fluid Mechanics, 2003, 477: 201–213.
Yu Z., Phan-Thien N., Tanner R. I. Rotation of a spheroid in a Couette flow at moderate Reynolds numbers [J]. Physical Review E, 2007, 76(2): 026310.
Choi C. R., Kim C. N. Direct numerical simulations of the dynamics of particles with arbitrary shapes in shear flows [J]. Journal of Hydrodynamics, 2010, 22(4): 456–465.
Huang H., Yang X., Lu X. Y. Sedimentation of an ellipsoidal particle in narrow tubes [J]. Physics of Fluids, 2014, 26(5): 053302.
Han Y. F., Ning M. Theoretical and experimental studies of the transport process of micro-particles in static water [J]. Journal of Hydrodynamics, 2015, 26(6): 875–881.
Mendez Y. A flow model for the settling velocities of nonspherical particles in creeping motion, Part ii [J]. Journal of Applied Fluid Mechanics, 2012, 5(4): 123–130.
Seger G., Silberberg A. Radial particle displacements in Poiseuille flow of suspensions [J]. Nature, 1961, 189: 209–210.
Matas J. P., Morris J. F., Guazzelli E. Inertial migration of rigid spherical particles in Poiseuille flow [J]. Journal of Fluid Mechanics, 2004, 515: 171–195.
Li D., Xuan X. Electrophoretic slip-tuned particle migration in microchannelviscoelastic fluid flows [J]. Physical Review Fluids, 2018, 3(7): 074202.
Karnis A., Goldsmith H., and Mason S. The flow of suspensions through tubes: V. Inertial effects [J]. The Canadian Journal of Chemical Engineering, 1966, 44(4): 181–193.
Byeon H. J., Seo K. W., Lee S. J. Precise measurement of three-dimensional positions of transparent ellipsoidal particles using digital holographic microscopy [J]. Applied optics, 2015, 54(8): 2106–2112.
du Roure O., Lindner A., Nazockdast E. N. et al. Dynamics of flexible fibers in viscous flows and fluids [J]. Annual Review of Fluid Mechanics, 2019, 51(1): 539–572.
Yang B. H., Wang J., Joseph D. D. et al. Migration of a sphere in tube flow [J]. Journal of Fluid Mechanics, 2005, 540: 109–131.
Yu Z., Phan-Thien N., Tanner R. I. Dynamic simulation of sphere motion in a vertical tube [J]. Journal of Fluid Mechanics, 2004, 518: 61–93.
Feng J., Hu H. H., Joseph D. D. Direct simulation of initial value problems for the motion of solid bodies in a Newtonian fluid. Part 2. Couette and Poiseuille flows [J]. Journal of Fluid Mechanics, 1994, 277: 271–301.
Huang H., Lu X. Y. An ellipsoidal particle in tube Poiseuille flow [J]. Journal of Fluid Mechanics, 2017, 822: 664–688
Pan T. W., Chang C. C., Glowinski R. On the motion of a neutrally buoyant ellipsoid in a three-dimensional Poiseuille flow [J]. Computer Methods in Applied Mechanics and Engineering, 2008, 197(25–28): 2198–2209.
Başağaoğlu H., Succi S., Wyrick D. et al. Particle shape influences settling and sorting behavior in microfluidic domains [J]. Scientific Reports, 2018, 8(1): 1–11.
Snook B., Butler J. E., Guazzelli E. Dynamics of shear-induced migration of spherical particles in oscillatory pipe flow [J]. Journal of Fluid Mechanics, 2016, 786: 128–153.
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Project supported by the National Natural Science Foundation of China (Grant No. 11772326).
Biography: Yuan-feng Cui (1997-), Male, Undergraduate
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Cui, Yf., Chang, Xt. & Huang, Hb. Experimental study of an ellipsoidal particle in tube Poiseuille flow. J Hydrodyn 32, 616–622 (2020). https://doi.org/10.1007/s42241-020-0034-0
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DOI: https://doi.org/10.1007/s42241-020-0034-0