A contact model for normal immersed collisions between a particle and a wall

Journal of Fluid Mechanics

Volumn 691, Issue , 2012, Pages 123-145

  Li, Xiaobai ^a   Hunt, Melany L ^a   Colonius, Tim ^a  

^a California Institute of Technology   (United States)

Author keywords

particle fluid flows; suspensions

Indexed keywords

END EFFECTORS; NUMERICAL METHODS; SUSPENSIONS (FLUIDS); TRAJECTORIES;

COEFFICIENT OF RESTITUTION; CONTACT MODELING; INCOMPRESSIBLE NAVIER STOKES EQUATIONS; LIQUID-SOLID INTERACTION; LUBRICATION LAYER; NORMAL COLLISION; PARTICLE TRAJECTORIES; PARTICLE/FLUID FLOWS;

NAVIER STOKES EQUATIONS;

ACCURACY ASSESSMENT; COMPUTER SIMULATION; ELASTICITY; FLOW FIELD; MODEL VALIDATION; NAVIER-STOKES EQUATIONS; NUMERICAL MODEL; PARTICLE MOTION;

EID: 84862931088     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/jfm.2011.461     Document Type: Article

References (29)

1. AL-SAMIEH, M. F. & RAHNEJAT, H. 2002 Physics of lubricated impact of a sphere on a plate in a narrow continuum to gaps of molecular dimensions. J. Phys. D: Appl. Phys. 35, 2311-2326. (Pubitemid 35167245)
2. ARDEKANI, A. M. & RANGEL, R. H. 2008 Numerical investigation of particle-particle and particle-wall collisions in a viscous fluid. J. Fluid Mech. 576, 437-466.
3. BARNOCKY, G. & DAVIS, R. H. 1988 Elastohydrodynamic collision and rebound of spheres: experimental verification. Phys. Fluids 31, 1324-1329.
4. BARNOCKY, G. & DAVIS, R. H. 1989 The influence of pressure-dependent density and viscosity on the elastohydrodynamic collision and rebound of two spheres. J. Fluid Mech. 209, 501-519. (Pubitemid 20635458)
5. COLONIUS, T. & TAIRA, K. 2008 A fast immersed boundary method using a nullspace approach and multi-domain far-field conditions. Comput. Meth. Appl. Mech. Engng 197, 2131-2146. (Pubitemid 351494476)
6. CROWE, C., SOMMERFELD, M. & TSUJI, Y. 1998 Multiphase Flows with Droplets and Particles. CRC Press.
7. DAVIS, R. H., RAGER, D. A. & GOOD, B. T. 2002 Elastohydrodynamic rebound of spheres from coated surfaces. J. Fluid Mech. 468, 107-119.
8. DAVIS, R. H., SERAYSSOL, J. & HINCH, E. J. 1986 The elastohydrodynamic collision of two spheres. J. Fluid Mech. 163, 479-497.
9. FENG, Z., MICHAELIDES, E. E. & MAO, S. 2010 A three-dimensional resolved discrete particle method for studying particle-wall collision in a viscous fluid. Trans. ASME: J. Fluids Engng 132, 091302.
10. GONDRET, P., LANCE, M. & PETIT, L. 2002 Bouncing motion of spherical particles in fluids. Phys. Fluids 14 (2), 643-652. (Pubitemid 34143765)
11. JOHNSON, T. A. & PATEL, V. C. 1999 Flow past a sphere up to a Reynolds number of 300. J. Fluid Mech. 378, 19-70.
12. JOSEPH, G. G. & HUNT, M. L. 2004 Oblique particle-wall collisions in a liquid. J. Fluid Mech. 510, 71-93. (Pubitemid 38957968)
13. JOSEPH, G. G., ZENIT, R., HUNT, M. L. & ROSENWINKEL, A. M. 2001 Particle-wall collisions in a viscous fluid. J. Fluid Mech. 443, 329-346. (Pubitemid 32403641)
14. KIM, I., ELGHOBASHI, S. & SIRIGNANO, W. A. 1998 On the equation for spherical-particle motion: effect of Reynolds and acceleration numbers. J. Fluid Mech. 367, 221-253. (Pubitemid 128479042)
15. LADD, A. J. C. 1997 Sedimentation of homogeneous suspensions of non-Brownian sphere. Phys. Fluids 9, 491-499.
16. LAMB, M. P., DIETRICH, W. E. & SKLAR, L. S. 2008 A model for fluvial bedrock incision by impacting suspended and bed load sediment. J. Geophys. Res. 113, F03025.
17. LEWEKE, T., THOMPSON, M. C. & HOURIGAN, K. 2004 Vortex dynamics associated with the collision of a sphere with a wall. Phys. Fluids 16 (9), L74-L77. (Pubitemid 39250634)
18. LI, X. 2010 An experimental and numerical study of normal particle collisions in a viscous liquid. PhD thesis, California Institute of Technology.
19. LORENZINI, G. & MAZZA, N. 2004 Debris Flow Phenomenology and Rheological Modelling. WIT Press.
20. MICHAELIDE, E. E. 1997 Reviewcthe transient equation of motion for particles, bubbles, and droplets. Trans. ASME: J. Fluids Engng 119, 223-247.
21. NGUYEN, N.-Q. & LADD, A. J. C. 2002 Lubrication corrections for lattice-Boltzmann simulations of particle suspensions. Phys. Rev. E 66 (046708).
22. RUIZ-ANGULO, A. & HUNT, M. L. 2010 Measurements of the coefficient of restitution for particle collisions with ductile surfaces in a liquid. Granul. Matt. 12, 185-191.
23. SAFA, M. M. A. & GOHAR, A. 1986 Pressure distribution under a ball impacting a thin lubricant layer. Trans. ASME: J. Tribology 108, 372-376. (Pubitemid 16605140)
24. TAIRA, K. & COLONIUS, T. 2007 The immersed boundary method: a projection approach. J. Comput. Phys. 225, 2118-2137.
25. TENCATE, A., NIEUWSTAD, C. H., DERKSEN, J. J. & VAN DEN AKKER, H. E. A. 2002 Particle imaging velocimetry experiments and lattice-Boltzmann simulations on a single sphere settling under gravity. Phys. Fluids 14 (11), 4012-4025. (Pubitemid 35389846)
26. THOMPSON, M. C., LEWEKE, T. & HOURIGAN, K. 2007 Sphere-wall collisions: vortex dynamics and stability. J. Fluid Mech. 575, 121-148. (Pubitemid 46404088)
27. TIMOSHENKO, S. P. & GOODIER, J. N. 1970 Theory of Elasticity, 3rd edn. McGraw Hill.
28. YANG, F.-L. 2006 Interaction law for a collision between two solid particles in a viscous liquid. PhD thesis, California Institute of Technology.
29. YANG, F.-L. & HUNT, M. L. 2006 Dynamics of particle-particle collisions in a viscous liquid. Phys. Fluids 18 (121506).