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[object Object],J. Doucet  , F. Bertrand and J. Chaouki  Department of Chemical Engineering  Ecole Polytechnique de Montréal,  P.O. Box 6079, Station Centre-Ville, Montréal, QC, Canada H3C 3A7
Organization ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Motivation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Contact model  ,[object Object],[object Object],[object Object],[object Object]
Integration scheme ,[object Object],[object Object],Yanjie Li , Yong Xu, Colin Thornton, (2005), A comparison of discrete element simulations and experiments for sandpiles composed of spherical particles, Powder Technology, 160, pp. 219 – 228 M. Lemieux, G. Léonard, J. Doucet, L.-A. Leclaire, F. Viens, J. Chaouki and F. Bertrand , Large-scale numerical investigation of solids mixing in a V-blender using the discrete element method, Powdet Technology,  doi :10.1016/ j.powtec .2006.12.009   = 5.75 E-04 s.
[object Object],[object Object],Preliminary verification Grace, J. R. and Taghipour, F.  Verification and validation of CFD models and dynamic similarity for fluidized beds .  Powder Technology, vol. 139, p.99-110.
Preliminary verification ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],From Rycroft et al. (2006) Rycroft, C. H. and Bazant, M. Z. and Grest, G. S. and Landry, J. W. Dynamics of random packings in granular flow, Physical Review E. 2006, vol 73, p.  051306.
Preliminary verification
The effect of the time step Quasi-static regime: silo discharge ,[object Object],The effect on the profiles is catastrophic ! H/d=9 H/d=29
[object Object],The effect of the time step Quasi-static regime: silo discharge H/d=9 H/d=29
The effect of the time step ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Effect of  h  in dynamical mixing systems ,[object Object],[object Object],[object Object],[object Object],[object Object]
Mean velocity profiles H=5E-5s H=1E-5s H=2E-6s H=1E-6s
Fluctuating velocity field dt=5 E -5 dt=3.33 E -7
Measure of mixing ,[object Object],Radial Period Amplitude Doucet, J., Bertrand F. and Chaouki, J. Experimental characterization of the chaotic dynamics of cohesionless particles using RPT: application to a V-blender.  Granular Matter . 2007, in press. Complete proof can be found in: Doucet, J., Bertrand F. and Chaouki, J. An invariant measure of mixing.  Int. J. Chem. Res. Des.  Part A. . 2007a, submitted
Conclusion ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Acknowledgements ,[object Object],[object Object]
Future works ,[object Object],[object Object],[object Object],[object Object],Grace et al. 2006
One example ,[object Object],30 ° 45 ° 60 ° ,[object Object]
Friction factor in silo flows (B) Mu (p-p)=0.15 Mu(w-p)=0.5 ,[object Object],[object Object],(A) Mu (p-p)=0.15 Mu(w-p)=0.15
Friction factors in silo flows (B) Mu (p-p)=0.15 Mu(w-p)=0.5 ,[object Object],[object Object],(A) Mu (p-p)=0.15 Mu(w-p)=0.15
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Impact of the Time Step in DEM Simulations on Granular Mixing Properties