Abstract
The granular flow down an inclined plate or chute is a potential choice as a high-power spallation target. Here we studied about the stability of the inclined granular flows down rough bottoms through a series of simulations on GPUs . The periodic boundary is used here. Following the previous work, there are some conclusions in this work: (1) the phases of flows with various inclination angles are classified. (2) According to the oscillation modes, the oscillation flow region can be further divided into three sub-regions. (3) The oscillation flow region is a transition region between ordered and disordered flow region, where more details about the self-organization and dilatant are shown.
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References
Bauer, G.S., Overview on spallation target design concepts and related materials issues. Journal of Nuclear Materials, 2010. 398(1–3): p. 19-27.
Fu, S., et al., Status of CSNS Project. IPAC2013, May, 2013.
Wagner, W. Target development for the SINQ high-power neutron spallation source. in HIGH INTENSITY AND HIGH BRIGHTNESS HADRON BEAMS: 20th ICFA Advanced Beam Dynamics Workshop on High Intensity and High Brightness Hadron Beams ICFA-HB2002. 2002. AIP Publishing.
Gabriel, T.A., J.R. Haines, and T.J. McManamy, Overview of the Spallation Neutron Source (SNS) with emphasis on target systems. Journal of Nuclear Materials, 2003. 318: p. 1–13.
Center, J.-P., Technical Design Report of spallation neutron source facility in J-PARC.
Yang, L. and W. Zhan, New concept for ADS spallation target: Gravity-driven dense granular flow target. Science China Technological Sciences. 58(10): p. 1705–1711.
Drake, T.G., STRUCTURAL FEATURES IN GRANULAR FLOWS. Journal of Geophysical Research-Solid Earth and Planets, 1990. 95(B6): p. 8681–8696.
Savage, S.B. and K. Hutter, The Motion of a Finite Mass of Granular Material down a Rough Incline. Journal of Fluid Mechanics, 1989. 199: p. 177–215.
Goldschmidt, M.J.V., R. Beetstra, and J.A.M. Kuipers, Hydrodynamic modelling of dense gas-fluidised beds: Comparison of the kinetic theory of granular flow with 3D hard-sphere discrete particle simulations. Chemical Engineering Science, 2002. 57(11): p. 2059–2075.
Kumaran, V., Dynamics of dense sheared granular flows. Part 1. Structure and diffusion. Journal of Fluid Mechanics, 2009. 632: p. 109–144.
Azanza, E., F. Chevoir, and P. Moucheront, Experimental study of collisional granular flows down an inclined plane. Journal of Fluid Mechanics, 1999. 400: p. 199–227.
Delannay, R., et al., Towards a theoretical picture of dense granular flows down inclines. Nature Materials, 2007. 6(2): p. 99–108.
Pouliquen, O., Scaling laws in granular flows down rough inclined planes. Physics of Fluids, 1999. 11(3): p. 542–548.
Forterre, Y. and O. Pouliquen, Long-surface-wave instability in dense granular flows. Journal of Fluid Mechanics, 2003. 486: p. 21–50.
MiDi, G.D.R., On dense granular flows. European Physical Journal E, 2004. 14(4): p. 341–365.
Lemaitre, A., Origin of a repose angle: Kinetics of rearrangement for granular materials. Physical Review Letters, 2002. 89(6).
Baran, O., et al., Velocity correlations in dense gravity-driven granular chute flow. Physical Review E, 2006. 74(5).
Pouliquen, O., Velocity correlations in dense granular flows. Physical Review Letters, 2004. 93(24).
Silbert, L.E., J.W. Landry, and G.S. Grest, Granular flow down a rough inclined plane: Transition between thin and thick piles. Physics of Fluids, 2003. 15(1): p. 1–10.
Kumaran, V. and S. Maheshwari, Transition due to base roughness in a dense granular flow down an inclined plane. Physics of Fluids, 2012. 24(5).
Weinhart, T., et al., Closure relations for shallow granular flows from particle simulations. Granular Matter, 2012. 14(4): p. 531–552.
Bagnold, R.A., EXPERIMENTS ON A GRAVITY-FREE DISPERSION OF LARGE SOLID SPHERES IN A NEWTONIAN FLUID UNDER SHEAR. Proceedings of the Royal Society of London Series a-Mathematical and Physical Sciences, 1954. 225(1160): p. 49–63.
Silbert, L.E., et al., Granular flow down an inclined plane: Bagnold scaling and rheology. Physical Review E, 2001. 64(5).
Drozd, J.J. and C. Denniston, Constitutive relations in dense granular flows. Physical Review E, 2010. 81(2).
Bi, W.T., et al., Experimental study of two-dimensional, monodisperse, frictional-collisional granular flows down an inclined chute. Physics of Fluids, 2006. 18(12).
Faug, T., R. Beguin, and B. Chanut, Mean steady granular force on a wall overflowed by free-surface gravity-driven dense flows. Physical Review E, 2009. 80(2).
Staron, L., Friction and the oscillatory motion of granular flows. Physical Review E, 2012. 86(4).
Bi, W.T., et al., Two- and three-dimensional confined granular chute flows: experimental and numerical results. Journal of Physics-Condensed Matter, 2005. 17(24): p. S2457–S2480.
Kumaran, V. and S. Bharathraj, The effect of base roughness on the development of a dense granular flow down an inclined plane. Physics of Fluids, 2013. 25(7).
Weinhart, T., et al., Coarse-grained local and objective continuum description of three-dimensional granular flows down an inclined surface. Physics of Fluids, 2013. 25(7).
Reddy, K.A. and V. Kumaran, Applicability of constitutive relations from kinetic theory for dense granular flows. Physical Review E, 2007. 76(6).
Borzsonyi, T. and R.E. Ecke, Flow rule of dense granular flows down a rough incline. Physical Review E, 2007. 76(3).
Brewster, R., et al., Plug flow and the breakdown of Bagnold scaling in cohesive granular flows. Physical Review E, 2005. 72(6).
Hunt, M.L., et al., Revisiting the 1954 suspension experiments of R. A. Bagnold. Journal of Fluid Mechanics, 2002. 452: p. 1–24.
Andreotti, B., Sonic sands. Reports on Progress in Physics, 2012. 75(2).
Andreotti, B., A. Daerr, and S. Douady, Scaling laws in granular flows down a rough plane. Physics of Fluids, 2002. 14(1): p. 415–418.
Rajchenbach, J., Dense, rapid flows of inelastic grains under gravity. Physical Review Letters, 2003. 90(14).
Silbert, L.E., et al., Boundary effects and self-organization in dense granular flows. Physics of Fluids, 2002. 14(8): p. 2637–2646.
Richard, P., S. McNamara, and M. Tankeo, Relevance of numerical simulations to booming sand. Physical Review E, 2012. 85(1).
Tan, D., P. Richard, and J.T. Jenkins, A model for the onset of oscillations near the stopping angle in an inclined granular flow. The European physical journal. E, Soft matter, 2012. 35(11): p. 122–122.
Khakhar, D.V., et al., Surface flow of granular materials: model and experiments in heap formation. Journal of Fluid Mechanics, 2001. 441: p. 255–264.
Jop, P., Y. Forterre, and O. Pouliquen, Crucial role of sidewalls in granular surface flows: consequences for the rheology. Journal of Fluid Mechanics, 2005. 541: p. 167–192.
de Gennes, P.G., Granular matter: a tentative view. Reviews of Modern Physics, 1999. 71(2): p. S374-S382.
Schaeffer, D.G., A Mathematical-Model for Localization in Granular Flow. Proceedings of the Royal Society of London Series a-Mathematical Physical and Engineering Sciences, 1992. 436(1897): p. 217–250.
Ostoja-Starzewski, M., Random-Fields and Processes in Mechanics of Granular-Materials. Mechanics of Materials, 1993. 16(1–2): p. 55-64.
Aranson, I.S. and L.S. Tsimring, Patterns and collective behavior in granular media: Theoretical concepts. Reviews of Modern Physics, 2006. 78(2): p. 641–692.
Ottino, J.M. and D.V. Khakhar, Mixing and segregation of granular materials. Annual Review of Fluid Mechanics, 2000. 32: p. 55–91.
Tian, Y., et al. A heterogeneous CPU-GPU implementation for discrete elements simulation with multiple GPUs. in Awareness Science and Technology and Ubi-Media Computing (iCAST-UMEDIA), 2013 International Joint Conference on. 2013. IEEE.
Qi, J., et al., GPU-accelerated DEM implementation with CUDA. International Journal of Computer Science and Engineering, Inderscience, 2015. 11(3): p. 330–337.
Burman, B.C., A Discrete Numerical-Model for Granular Assemblies. Geotechnique, 1980. 30(3): p. 331–334.
Johnson, K.L. and K.K.L. Johnson, Contact mechanics. 1987: Cambridge university press.
Acknowledgements
This work is supported by the National Magnetic Confinement Fusion Science Program of China (Grant No. 2014GB104002).
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Yang, G., Zhang, S., Lin, P., Tian, Y., Wan, JF., Yang, L. (2018). Influence of Inclined Angles on the Stability of Inclined Granular Flows Down Rough Bottoms. In: Yen, N., Hung, J. (eds) Frontier Computing. FC 2016. Lecture Notes in Electrical Engineering, vol 422. Springer, Singapore. https://doi.org/10.1007/978-981-10-3187-8_21
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DOI: https://doi.org/10.1007/978-981-10-3187-8_21
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