Granular flow in a wedge-shaped heap: Velocity field, kinematic scalings, and segregation

Isner, Austin B.; Umbanhowar, Paul B.; Ottino, Julio M.; Lueptow, Richard M.

doi:10.1002/aic.16912

Granular flow in a wedge-shaped heap: Velocity field, kinematic scalings, and segregation

Journal Article · Mon Jan 06 23:00:00 EST 2020 · AIChE Journal

DOI:https://doi.org/10.1002/aic.16912· OSTI ID:1782642

^[1]; ^[2]; Ottino, Julio M. ^[3]; Lueptow, Richard M. ^[3]

Northwestern Univ., Evanston, IL (United States); Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Northwestern Univ., Evanston, IL (United States)
Northwestern Univ., Evanston, IL (United States); Northwestern Univ., Evanston, IL (United States). Northwestern Inst. on Complex Systems (NICO)

Free surface granular flows in bounded axisymmetric geometries are poorly understood. Here, we consider the kinematics and segregation of size-bidisperse flow in a rising conical heap by characterizing the flow of particles in a wedge-shaped silo with frictional sidewalls using experiments and discrete-element-method simulations. We find that the streamwise velocity is largest at the wedge centerline and decreases near the sidewalls, and that velocity profiles in the depthwise and spanwise directions are self-similar. Furthermore, for segregating size bidisperse mixtures, the boundary between small and large particles deposited on the heap is significantly further upstream at the sidewalls than at the centerline, indicating that measurements taken at transparent sidewalls of quasi-2D or wedge-shaped heaps are unrepresentative of an axisymmetric heap. The streamwise velocity and flowing layer depth locally satisfy the scaling relation of Jop et al (J Fluid Mech. 2005;541:167-192) when modified to account for the wedge geometry, highlighting the influence of wall friction on the flow.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE; Dow Chemical Company

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1782642

Report Number(s):: LA-UR--19-27011

Journal Information:: AIChE Journal, Journal Name: AIChE Journal Journal Issue: 5 Vol. 66; ISSN 0001-1541

Publisher:: American Institute of Chemical EngineersCopyright Statement

Country of Publication:: United States

Language:: English

References (32)

Modeling segregation of bidisperse granular materials using physical control parameters in the quasi-2D bounded heap Schlick, Conor P.; Fan, Yi; Isner, Austin B. AIChE Journal, Vol. 61, Issue 5 https://doi.org/10.1002/aic.14780	journal	March 2015
DEM study on the discharge characteristics of lognormal particle size distributions from a conical hopper Zhao, Ya; Yang, Shiliang; Zhang, Liangqi AIChE Journal, Vol. 64, Issue 4 https://doi.org/10.1002/aic.16026	journal	November 2017
The definition and measurement of some characteristics of mixtures Danckwerts, P. V. Applied Scientific Research, Vol. 3, Issue 4 https://doi.org/10.1007/BF03184936	journal	July 1952
Experimental study of granular stratification Grasselli, Y.; Herrmann, H. J. Granular Matter, Vol. 1, Issue 1 https://doi.org/10.1007/PL00010909	journal	May 1998
Pattern formation in granular avalanches Gray, J. M. N. T.; Hutter, K. Continuum Mechanics and Thermodynamics, Vol. 9, Issue 6 https://doi.org/10.1007/s001610050075	journal	December 1997
Flow of binary mixtures of equal-density granules in hoppers—size segregation, flowing density and discharge rates Artega, P.; Tüzün, U. Chemical Engineering Science, Vol. 45, Issue 1 https://doi.org/10.1016/0009-2509(90)87093-8	journal	January 1990
Studies of size segregation in filling and emptying a hopper Standish, N. Powder Technology, Vol. 45, Issue 1 https://doi.org/10.1016/0032-5910(85)85059-2	journal	November 1985
Granular segregation in discharging cylindrical hoppers: A discrete element and experimental study Ketterhagen, William R.; Curtis, Jennifer S.; Wassgren, Carl R. Chemical Engineering Science, Vol. 62, Issue 22 https://doi.org/10.1016/j.ces.2007.07.052	journal	November 2007
Predicting discharge dynamics from a rectangular hopper using the discrete element method (DEM) Anand, Anshu; Curtis, Jennifer S.; Wassgren, Carl R. Chemical Engineering Science, Vol. 63, Issue 24 https://doi.org/10.1016/j.ces.2008.08.015	journal	December 2008
Size segregation mechanism of binary particle mixture in forming a conical pile Rahman, M.; Shinohara, K.; Zhu, H. P. Chemical Engineering Science, Vol. 66, Issue 23 https://doi.org/10.1016/j.ces.2011.08.024	journal	December 2011
Continuum modeling of granular segregation during hopper discharge Xiao, Hongyi; Fan, Yi; Jacob, Karl V. Chemical Engineering Science, Vol. 193 https://doi.org/10.1016/j.ces.2018.08.039	journal	January 2019
A comparison of discrete element simulations and experiments for ‘sandpiles’ composed of spherical particles Li, Yanjie; Xu, Yong; Thornton, Colin Powder Technology, Vol. 160, Issue 3 https://doi.org/10.1016/j.powtec.2005.09.002	journal	December 2005
Modeling granular segregation in flow from quasi-three-dimensional, wedge-shaped hoppers Ketterhagen, William R.; Curtis, Jennifer S.; Wassgren, Carl R. Powder Technology, Vol. 179, Issue 3 https://doi.org/10.1016/j.powtec.2007.06.023	journal	January 2008
Predicting the flow mode from hoppers using the discrete element method Ketterhagen, William R.; Curtis, Jennifer S.; Wassgren, Carl R. Powder Technology, Vol. 195, Issue 1 https://doi.org/10.1016/j.powtec.2009.05.002	journal	October 2009
Prediction of mass discharge rate in conical hoppers using elastoplastic model Zheng, Q. J.; Xia, B. S.; Pan, R. H. Powder Technology, Vol. 307 https://doi.org/10.1016/j.powtec.2016.11.037	journal	February 2017
Segregation of granular materials in bounded heap flow: A review Fan, Yi; Jacob, Karl V.; Freireich, Ben Powder Technology, Vol. 312 https://doi.org/10.1016/j.powtec.2017.02.026	journal	May 2017
Crucial role of sidewalls in granular surface flows: consequences for the rheology Jop, Pierre; Forterre, YoËL; Pouliquen, Olivier Journal of Fluid Mechanics, Vol. 541, Issue -1 https://doi.org/10.1017/S0022112005005987	journal	October 2005
Modelling size segregation of granular materials: the roles of segregation, advection and diffusion Fan, Yi; Schlick, Conor P.; Umbanhowar, Paul B. Journal of Fluid Mechanics, Vol. 741 https://doi.org/10.1017/jfm.2013.680	journal	February 2014
Mechanism of Size Segregation of Particles in Filling a Hopper Shinohara, K.; Shoji, K.; Tanaka, T. Industrial & Engineering Chemistry Process Design and Development, Vol. 11, Issue 3 https://doi.org/10.1021/i260043a008	journal	July 1972
Spontaneous stratification in granular mixtures Makse, Hernán A.; Havlin, Shlomo; King, Peter R. Nature, Vol. 386, Issue 6623 https://doi.org/10.1038/386379a0	journal	March 1997
Kinematics of monodisperse and bidisperse granular flows in quasi-two-dimensional bounded heaps Fan, Yi; Umbanhowar, Paul B.; Ottino, Julio M. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 469, Issue 2157 https://doi.org/10.1098/rspa.2013.0235	journal	September 2013
Modelling density segregation in flowing bidisperse granular materials Xiao, Hongyi; Umbanhowar, Paul B.; Ottino, Julio M. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 472, Issue 2191 https://doi.org/10.1098/rspa.2015.0856	journal	July 2016
Size segregation of granular matter in silo discharges Samadani, Azadeh; Pradhan, A.; Kudrolli, A. Physical Review E, Vol. 60, Issue 6 https://doi.org/10.1103/PhysRevE.60.7203	journal	December 1999
Reverse and intermediate segregation of large beads in dry granular media Thomas, N. Physical Review E, Vol. 62, Issue 1 https://doi.org/10.1103/PhysRevE.62.961	journal	July 2000
Simulational studies of axial granular segregation in a rotating cylinder Rapaport, D. C. Physical Review E, Vol. 65, Issue 6 https://doi.org/10.1103/PhysRevE.65.061306	journal	June 2002
Power-law and exponential segregation in two-dimensional silos of granular mixtures Goyal, Rajesh K.; Tomassone, M. Silvina Physical Review E, Vol. 74, Issue 5 https://doi.org/10.1103/PhysRevE.74.051301	journal	November 2006
Stratification, segregation, and mixing of granular materials in quasi-two-dimensional bounded heaps Fan, Yi; Boukerkour, Youcef; Blanc, Thibault Physical Review E, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevE.86.051305	journal	November 2012
Creep Motion in a Granular Pile Exhibiting Steady Surface Flow Komatsu, Teruhisa S.; Inagaki, Shio; Nakagawa, Naoko Physical Review Letters, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevLett.86.1757	journal	February 2001
Rheology and Contact Lifetimes in Dense Granular Flows Silbert, Leonardo E.; Grest, Gary S.; Brewster, Robert Physical Review Letters, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevLett.99.068002	journal	August 2007
On dense granular flows Milieux Divises, Groupement De Recherche Milieux Divis¶es The European Physical Journal E, Vol. 14, Issue 4, p. 341-365 https://doi.org/10.1140/epje/i2003-10153-0	journal	August 2004
Modeling Segregation in Granular Flows Umbanhowar, Paul B.; Lueptow, Richard M.; Ottino, Julio M. Annual Review of Chemical and Biomolecular Engineering, Vol. 10, Issue 1 https://doi.org/10.1146/annurev-chembioeng-060718-030122	journal	June 2019
A discrete numerical model for granular assemblies Cundall, P. A.; Strack, O. D. L. Géotechnique, Vol. 29, Issue 1 https://doi.org/10.1680/geot.1979.29.1.47	journal	March 1979

Similar Records

Rheology of confined granular flows

Journal Article · Wed May 05 00:00:00 EDT 2010 · AIP Conference Proceedings · OSTI ID:21367315

Forced convection film boiling drag and heat transfer of a wedge

Conference · Sun Dec 31 23:00:00 EST 1989 · OSTI ID:7005635

Analysis of granular flow in a pebble-bed nuclear reactor

Other · Mon Apr 17 00:00:00 EDT 2006 · OSTI ID:882198

Related Subjects

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CHEMISTRY
conical heap
discrete element method
granular flow
segregating flow

Granular flow in a wedge-shaped heap: Velocity field, kinematic scalings, and segregation

Citation Formats

References (32)

Similar Records

Related Subjects