Skip to main content
    • Aa
    • Aa

Numerical investigation of particle–particle and particle–wall collisions in a viscous fluid

  • A. M. ARDEKANI (a1) and R. H. RANGEL (a1)

The dynamics of particle–particle collisions and the bouncing motion of a particle colliding with a wall in a viscous fluid is numerically investigated. The dependence of the effective coefficient of restitution on the Stokes number and surface roughness is analysed. A distributed Lagrange multiplier-based computational method in a solid–fluid system is developed and an efficient method for predicting the collision between particles is presented. A comparison between this method and previous collision strategies shows that the present approach has some significant advantages over them. Comparison of the present methodology with experimental studies for the bouncing motion of a spherical particle onto a wall shows very good agreement and validates the collision model. Finally, the effect of the coefficient of restitution for a dry collision on the vortex dynamics associated with this problem is discussed.

Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

A. M. Ardekani & R. H. Rangel 2006 Unsteady motion of two solid spheres in Stokes flow. Phys. Fluids 18, 103306.

A. P. Arp & S. G. Mason 1977 The kinetics of flowing dispersions: IX. Doublets of rigid spheres (experimental). J. Colloid Interface Sci. 61, 44.

J. F. Brady & G. Bossis 1988 Stokesian dynamics. Annu. Rev. Fluid Mech. 20, 111157.

H. Brenner 1961 The slow motion of a sphere through a viscous fluid towards a plane surface. Chem. Engng Sci. 16, 242.

R. H. Davis 1992 Effect of surface roughness on a sphere sedimenting through a dilute suspension of neutrally buoyant spheres. Phys. Fluids A 4, 26072619.

R. H. Davis , Y. Zhao , K. P. Galvin & H. J. Wilson 2003 Solid–solid contacts due to surface roughness and their effects on suspension behaviour. Phil. Trans. R. Soc. Lond. A 361, 871894.

R. Glowinski , T. W. Pan , T. I. Hesla & D. D. Joseph 1999 A distributed Lagrange multiplier fictitious domain method for particulate flows. Intl J. Multiphase Flow 25, 755794.

R. Glowinski , T. W. Pan & J. Periaux 1998 distributed Lagrange multiplier method for incompressible viscous flow around moving rigid bodies. Comput. Methods Appl. Mech. Engng 151, 181194.

P. Gondret , E. Hallouin , M. Lance & L. Petit 1999 Experiments on the motion of a solid sphere toward a wall: From viscous dissipation to elastohydrodynamic bouncing. Phys. Fluids 11, 28032805.

P. Gondret , M. Lance & L. Petit 2002 Bouncing motion of spherical particles in fluids. Phys. Fluids 14, 643652.

H. H. Hu , N. A. Patankar & M. Y. Zhu 2001 Direct numerical simulations of fluid–solid systems using the arbitrary Lagrangian–Eulerian technique. J. Comput. Phys. 169, 427462.

D. Legendre , C. Daniel & P. Guiraud 2005 Experimental study of a drop bouncing on a wall in a liquid. Phys. Fluids 17, 113.

D. Legendre , R. Zenit , C. Daniel & P. Guiraud 2006 A note on the modelling of the bouncing of spherical drops or solid spheres on a wall in viscous fluid. Chem. Engng Sci. 61, 35433549.

L. M. Milne-Thomson 1968 Theoretical Hydrodynamics. Dover.

N. A. Patankar , P. Singh , D. D. Joseph , R. Glowinski & T. W. Pan 2000 A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows. Intl J. Multiphase Flow 26, 15091524.

D. Richard & D. Quéré 2000 Bouncing water drops. Europhys. Letters 50, 769775.

A. S. Sangani & G. Mo 1994 Inclusion of lubrication forces in dynamic simulations. Phys. Fluids 6, 1653.

N. Sharma , Y. Chen & N. A. Patankar 2005 A distributed Lagrange multiplier based computational method for the simulation of particulate-Stokes flow. Comput. Methods Appl. Mech. Engng 194, 47164730.

N. Sharma & N. A. Patankar 2005 A fast computation technique for direct numerical simulation of rigid particulate flows. J. Comput. Phys. 205, 439457.

P. Singh , T. I. Hesla & D. D. Joseph 2003 Distributed Lagrange multiplier method for particulate flows with collisions. Intl J. Multiphase Flow 29, 495509.

P. Singh , D. D. Joseph , T. I. Hesla , R. Glowinski & T. W. Pan 2000 Direct numerical simulation of viscoelastic particulate flows. J. Non-Newtonian Fluid Mech. 91, 165188.

J. R. Smart & D. T. Leighton 1989 Measurement of the hydrodynamic surface-roughness of noncolloidal spheres. Phys. Fluids 1, 5260.

M. C. Thompson , K. Hourigan , A. Cheung & T. Leweke 2006 Hydrodynamics of a particle impact on a wall. Appl. Math. Modelling 30, 1356.

H. K. Tsao & D. L. Koch 1994 Collisions of slightly deformable, high Reynolds number bubbles with short range repulsive forces. Phys. Fluids 6, 25912605.

S. Zeng , E. T. Kerns & R. H. Davis 1996 The nature of particle contact in sedimentation. Phys. Fluids 8, 1389.

J. Zhang , L. S. Fan , C. Zhu , R. Pfeffer & D. Qi 1999 Dynamic behavior of collision of elastic spheres in viscous fluids. Powder Tech. 106, 98109.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 89 *
Loading metrics...

Abstract views

Total abstract views: 163 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 26th June 2017. This data will be updated every 24 hours.