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Particle dynamics and pattern formation in a rotating suspension of positively buoyant particles

Sudarshan Konidena1, Jonghoon Lee2, K. Anki Reddy1,*, and Anugrah Singh1,†

  • 1Department of Chemical Engineering, Indian Institute of Technology, Guwahati 781039, India
  • 2Materials and Manufacturing Directorate, Air Force Research Laboratory, Wright-Patterson Air Force Base, Ohio 43210, USA

  • *anki.reddy@iitg.ernet.in
  • †anugrah@iitg.ernet.in
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Phys. Rev. Fluids 3, 044301 – Published 6 April, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.044301

Abstract

Numerical simulations of positively buoyant suspension in a horizontally rotating cylinder were performed to study the formation of radial and axial patterns. The order parameter for the low-frequency segregated phase and dispersed phase is similar to that predicted for the settling suspension by Lee and Ladd [J. Fluid Mech. 577, 183 (2007)], which is the average angular velocity of the particles. The particle density profiles for axial bands in the buoyancy-dominated phase shows an amplitude equivalent to the diameter of the cylinder. Axial density profiles show sinusoidal behavior for the drag-dominant phase and oscillating sinusoidal behavior for the centrifugal-force-dominant phase. Results also indicate that the traveling bands are formed as a consequence of the inhomogeneous distribution of particles arising from a certain imbalance of drag, buoyancy, and centrifugal forces. In the centrifugal limit, particles move towards the center of the cylinder, aggregating to form a dense core of particles with its axis coinciding with that of the rotating cylinder, a behavior which is in contrast to the sedimenting particles. The particle distribution patterns obtained from the simulations are found to be in good agreement with the experiments of Kalyankar et al. [Phys. Fluids 20, 083301 (2008)].

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References (30)

  1. K. M. Hill, A. Caprihan, and J. Kakalios, Bulk Segregation in Rotated Granular Material Measured by Magnetic Resonance Imaging, Phys. Rev. Lett. 78, 50 (1997).
  2. J. M. Ottino and D. V. Khakhar, Mixing and segregation of granular materials, Annu. Rev. Fluid Mech. 32, 55 (2000).
  3. M. Tirumkudulu, A. Tripathi, and A. Acrivos, Particle segregation in monodisperse sheared suspensions, Phys. Fluids. 11, 507 (1999).
  4. M. Tirumkudulu, A. Mileo, and A. Acrivos, Particle segregation in monodisperse sheared suspensions in a partially filled rotating horizontal cylinder, Phys. Fluids. 12, 1615 (2000).
  5. O. A. M. Boote and P. J. Thomas, Effects of granular additives on transition boundaries between flow states of rimming flow, Phys. Fluids 11, 2020 (1999).
  6. F. Melo, Localized states in a film-dragging experiment, Phys. Rev. E 48, 2704 (1993).
  7. D. D. Joseph, J. Wang, R. Bai, B. H. Yang, and H. H. Hu, Particle motion in a liquid film rimming the inside of a partially filled rotating cylinder, J. Fluid Mech. 496, 139 (2003).
  8. R. Govindarajan, P. R. Nott, and S. Ramaswamy, Theory of suspension segregation in partially filled horizontal rotating cylinders, Phys. Fluids 13, 3517 (2001).
  9. B. D. Timberlake and J. F. Morris, Concentration band dynamics in free-surface Couette flow of a suspension, Phys. Fluids 14, 1580 (2002).
  10. B. Jin and A. Acrivos, Rimming flows with an axially varying viscosity, Phys. Fluids 16, 633 (2004).
  11. B. Jin and A. Acrivos, Theory of particle segregation in rimming flows of suspensions containing neutrally buoyant particles, Phys. Fluids 16, 641 (2004).
  12. N. P. Duong, A. E. Hosoi, and T. Shinbrot, Periodic Knolls and Valleys: Coexistence of Solid and Liquid States in Granular Suspensions, Phys. Rev. Lett. 92, 224502 (2004).
  13. P. Raiskinmaki, J. A. Astrom, M. Kataja, M. Latva-Kokko, A. Koponen, A. Jasberg, A. Shakib-Manesh, and J. Timonen, Clustering and viscosity in a shear flow of a particulate suspension, Phys. Rev. E 68, 061403 (2003).
  14. G. Seiden and P. J. Thomas, Complexity, segregation, and pattern formation in rotating-drum flows, Rev. Mod. Phys. 83, 1323 (2011).
  15. S. G. Lipson, Periodic banding in crystallization from rotating supersaturated solutions, J. Phys. Condens. Matter 13, 5001 (2001).
  16. A. P. J Breu, C. A. Kreulle, and I. Rehberg, Pattern formation in a rotating aqueous suspension, Europhys. Lett. 62, 491 (2003).
  17. A. P. J. Breu, C. A. Kreulle, and I. Rehberg, Oscillatory patterns in a rotating aqueous suspension, Eur. Phys. J. E 13, 189 (2004).
  18. W. R. Matson, B. J. Ackerson, and P. Tong, Pattern formation in a rotating suspension of non-Brownian settling particles, Phys. Rev. E 67, 050301 (2003).
  19. W. R. Matson, M. Kalyankar, B. J. Ackerson, and P. Tong, Concentration and velocity patterns in a horizontal rotating suspension of non-Brownian settling particles, Phys. Rev. E 71, 031401 (2005).
  20. W. R. Matson, B. J. Ackerson, and P. Tong, Measured scaling properties of the transition boundaries in a rotating suspension of non-Brownian settling particles, J. Fluid Mech. 597, 233 (2008).
  21. J. Lee and A. J. C. Ladd, Axial Segregation in a Cylindrical Centrifuge, Phys. Rev. Lett. 89, 104301 (2002).
  22. J. Lee and A. J. C. Ladd, Axial Segregation of a Settling Suspension in a Rotating Cylinder, Phys. Rev. Lett. 95, 048001 (2005).
  23. C. Pozrikidis, Boundary Integral and Singularity Methods for Linearized Viscous Flow (Cambridge University Press, Cambridge, 1992).
  24. J. Lee and A. J. C. Ladd, Particle dynamics and pattern formation in a rotating suspension, J. Fluid Mech. 577, 183 (2007).
  25. M. G. Kalyankar, W. R. Matson, P. Tong, and B. J. Ackerson, Pattern formation in a rotating suspension of non-Brownian buoyant particles, Phys. Fluids 20, 083301 (2008).
  26. N. Liron and R. Shahar, Stokes flow due to a Stokeslet in a pipe, J. Fluid Mech. 86, 727 (1978).
  27. S. Bhattacharya, C. Mishra, and S. Bhattacharya, Analysis of general creeping motion of a sphere inside a cylinder, J. Fluid Mech. 642, 295 (2010).
  28. S. Navardi and S. Bhattacharya, General methodology to evaluate two-particle hydrodynamic friction inside cylinder-bound viscous fluid, Comput Fluids. 76, 149 (2013).
  29. S. Navardi, S. Bhattacharya, and H. Wu, Stokesian simulation of two unequal spheres in a pressure-driven creeping flow through a cylinder, Comput Fluids. 121, 145 (2015).
  30. M. Zurita-Gotor, J. Blawzdziewicz, and E. Wajnryb, Swapping trajectories: A new wall-induced cross-streamline particle migration mechanism in a dilute suspension of spheres, J. Fluid Mech. 592, 447 (2007).

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Phys. Rev. Fluids 3, 044301– Published 6 April, 2018
  • Received 13 December 2017
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