Free falling and rising of spherical and angular particles

Physics of Fluids

Volumn 26, Issue 8, 2014, Pages

  Rahmani, M ^a   Wachs, A ^a  

^a IFP ENERGIES NOUVELLES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

REYNOLDS NUMBER; WAKES;

ANGULAR PARTICLES; BALANCE OF FORCE; FORCES AND TORQUES; LATERAL BOUNDARY CONDITIONS; PARTICLE MOVEMENT; PATH INSTABILITIES; TRANSITION TO CHAOS; VORTICAL STRUCTURES;

SPHERES;

EID: 84925111629     PISSN: 10706631     EISSN: 10897666     Source Type: Journal    
DOI: 10.1063/1.4892840     Document Type: Article

References (44)

1. P. Ern, F. Risso, D. Fabre, and J. Magnaudet, "Wake-induced oscillatory paths of bodies freely rising or falling in fluids," Annu. Rev. Fluid Mech. 44, 97-121 (2012).
2. G. Mougin and J. Magnaudet, "Path instability of a rising bubble," Phys. Rev. Lett. 88, 014502 (2001).
3. M. Wu and M. Gharib, "Experimental studies on the shape and path of small air bubbles rising in clean water," Phys. Fluids 14, L49-L52 (2002).
4. P. Ern, F. Risso, P. C. Fernandes, and J. Magnaudet, "A dynamical model for the buoyancy-driven zigzag motion of oblate bodies," Phys. Rev. Lett. 102, 134505 (2009).
5. P. C. Fernandes, P. Ern, F. Risso, and J. Magnaudet, "On the zigzag dynamics of freely moving axisymmetric bodies," Phys. Fluids 17, 098107 (2005).
6. P. C. Fernandes, F. Risso, P. Ern, and J. Magnaudet, "Oscillatory motion and wake instability of freely-rising axisymmetric bodies," J. Fluid Mech. 573, 479-502 (2007).
7. M. Horowitz and C. H. K. Williamson, "Vortex-induced vibration of a rising and falling cylinder," J. Fluid Mech. 662, 352-383 (2010).
8. N. Brosse and P. Ern, "The motion of an asymmetric body falling in a tube at moderate Reynolds numbers," J. FluidMech. 714, 238-257 (2013).
9. S. B. Field, M. Klaus, M. G. Moore, and F. Nori, "Chaotic dynamics of falling disks," Nature (London) 388, 252-254 (1997).
10. P. Ern, P. C. Fernandes, F. Risso, and J. Magnaudet, "Evolution of wake structure and wake-induced loads along the path of freely rising axisymmetric bodies," Phys. Fluids 19, 113302 (2007).
11. A. R. Shenoy and C. Kleinstreuer, "Influence of aspect ratio on the dynamics of a freely moving circular disk," J. Fluid Mech. 653, 463-487 (2010).
12. H. Zhong, S. Chen, and C. Lee, "Experimental study of freely falling thin disks: Transition from planar zigzag to spiral," Phys. Fluids 23, 011702 (2011).
13. M. A. Jones and M. J. Shelley, "Falling cards," J. Fluid Mech. 540, 393-425 (2005).
14. L. Mahadevan, W. Ryu, and A. Samuel, "Tumbling cards," Phys. Fluids 11, 1-3 (1999).
15. H. Huang, A. Yang, and X. Lu, "Sedimentation of an ellipsoidal particle in narrow tubes," Phys. Fluids 26, 053302 (2014).
16. R. Natarajan and A. Acrivos, "The instability of the steady flow past spheres and disks," J. Fluid Mech. 254, 323-344 (1993).
17. T. A. Johnson and V. C. Patel, "Flow past a sphere up to a Reynolds number of 300," J. Fluid Mech. 378, 19-70 (1999).
18. G. Bouchet, M. Mebarek, and J. Dusek, "Hydrodynamic forces acting on a rigid fixed sphere in early transitional regime," Eur. J. Mech. B 25, 321-336 (2006).
19. R. Mittal, "Planar symmetry in the unsteady wake of a sphere," AIAA J. 37, 388-390 (1999).
20. M. Jenny, J. Dusek, and G. Bouchet, "Instabilities and transition of a sphere falling or ascending freely in a Newtonian fluid," J. Fluid Mech. 508, 201-239 (2004).
21. C. H. J. Veldhuis and A. Biesheuvel, "An experimental study of the regime of motion of sphere falling or ascending freely in a Newtonian fluid," Int. J. Multiphase Flow 33, 1074-1087 (2007).
22. A. Haider and O. Levenspiel, "Drag coefficients and terminal velocity of spherical and non spherical particles," Powder Technol. 58, 63-70 (1989).
23. R. Lau and H. K. L. Chuah, "Dynamic shape factor for particles of various shapes in the intermediate settling regime," Adv. Powder Technol. 24, 306-310 (2013).
24. H. Zhong, C. Lee, Z. Su, S. Chen, M. Zhou, and J.Wu, "Experimental investigation of freely falling thin disks. Part 1. The flow structure and Reynolds number effects on the zigzag motion," J. Fluid Mech. 716, 228-250 (2013).
25. G. Mougin and J. Magnaudet, "The generalized Kirchhoff equations and their application to the interaction between a rigid body and an arbitrary time-dependent viscous flow," Int. J. Multiphase flow. 28, 1837-1851 (2002).
26. G. Mougin and J. Magnaudet, "Wake-induced forces and torques on a zigzagging/spiralling bubble," J. Fluid Mech. 567, 185-194 (2006).
27. Z. Yu, N. Phan-Thien, and R. I. Tanner, "Dynamics of simulation of sphere motion in a vertical tube," J. Fluid Mech. 518, 61-93 (2004).
28. R. K. Reddy, J. B. Joshi, K. Nandakumar, and P. Minev, "Direct numerical simulations of a freely falling sphere using fictitious domain method: Breaking of axisymmetric wake," Chem. Eng. Sci. 65, 2159-2171 (2010).
29. C. H. J. Veldhuis, A. Biesheuvel, and D. Loshe, "Freely rising light solid spheres," Int. J. Multiphase Flow 35, 312-322 (2009).
30. M. Uhlmann, "An immersed boundary method with direct forcing for the simulation of particulate flows," J. Comput. Phys. 209, 448-476 (2005).
31. K. Namkoong, J. Y. Yoo, and H. G. Choi, "Numerical analysis of two-dimensional motion of a freely falling circular cylinder in an infinite fluid," J. Fluid Mech. 604, 33-53 (2008).
32. A. Wachs, "A DEM-DLM/FD method for direct numerical simulation of particulate flows: Sedimentation of polygonal isometric particles in a Newtonian fluid with collisions," Comput. Fluids 38, 1608-1628 (2009).
33. A. Wachs, "PeliGRIFF, a parallel DEM-DL/FD direct numerical simulation tool for 3d particulate flows," J. Eng. Math. 71, 131-155 (2011).
34. R. Glowinski, T. W. Pan, T. I. Hesla, and D. D. Joseph, "A distributed Lagrange multiplier/fictitious domain method for particulate flow," Int. J. Multiphase Flow 25, 755-794 (1999).
35. Z. Yu, X. Shao, and A. Wachs, "A fictitious domain method for particulate flow with tea transfer," J. Comput. Phys. 217, 424-452 (2006).
36. Z. Yu and A. Wachs, "A fictitious domain method for dynamic simulation of particle sedimentation in Bingham fluids," J. Non-Newtonian Fluid Mech. 145, 78-91 (2007).
37. N. Mordant and J. Pinton, "Velocity measurement of a settling sphere," Eur. Phys. J. B 18, 343-352 (2000).
38. Y. S. Cheng, H. C. Yeh, and M. D. Allen, "Dynamic shape factor of a plate-like particle," Aerosol Sci. Technol. 8(2), 109-123 (1988).
39. G. Scheuch and J. Heyder, "Nonspherical aerosol particles in the diffusion regime," Aerosol Sci. Technol. 12(2), 270-277 (1990).
40. D. G. Karamanev and L. N. Nikolov, "Free rising spheres do not obey Newton's law for free settling," AlChE J. 38, 1843-1846 (1992).
41. J. O. Dabiri, "Optimal vortex formation as a unifying principle in biological propulsion," Annu. Rev. Fluid Mech. 41, 17-33 (2008).
42. V. A. Naumov, A. D. Solomenko, and V. P. Yatsenko, "Influence of the Magnus force on the motion of a spherical solid with a large angular velocity," J. Eng. Phys. Thermophys. 65, 852-855 (1993).
43. A. M. Nathan, "The effect of spin on the flight of a baseball," Am. J. Phys. 76, 119-124 (2008).
44. T. Kray, J. Franke, and W. Frank, "Magnus effect on a rotating sphere at high Reynolds numbers," J. Wind Eng. Ind. Aerodyn. 110, 1-9 (2012).