234
4 Numerical Methods and Simulation for Pebble Flows
25. Rajchenbach, J. 1990. Flow in powders: From discrete avalanches to continuous regime. Physical Review Letters 65 (18): 2221.
26. Albert, W. Alexander, Bodhisattwa Chaudhuri, Abdul Mobeen Faqih, Fernando J. Muzzio,
Clive Davies, and M. Silvina Tomassone. 2006. Avalanching flow of cohesive powders. Powder
Technology, 164(1):13–21.
27. Hajra, K. Suman, Bhattacharya, Mccarthy, and J. J. (2010). Improvement of granular mixing
of dissimilar materials in rotating cylinders. Powder Technology, 198(2): 175–182.
28. Viduka, Stephen, Yuqing Feng, Karen Hapgood, and Phil Schwarz. 2013. Cfd-dem investigation
of particle separations using a sinusoidal jigging profile. Advanced Powder Technology 24 (2):
473–481.
29. Yu, P., and R.P. Behringer. 2005. Granular friction: a slider experiment. Chaos An Interdisciplinary Journal of Nonlinear Science 15 (4): 5241.
30. Zhong Ke Gao and Ning De Jin. 2011. Nonlinear characterization of oil-gas-water three-phase
flow in complex networks. Chemical Engineering Science 66 (12): 2660–2671.
31. Zhong, Ke Gao, Peng Cheng Fang, Mei Shuang Ding, and Ning De Jin. 2015. Multivariate
weighted complex network analysis for characterizing nonlinear dynamic behavior in twophase flow. Experimental Thermal & Fluid Science 60: 157–164.
32. Zhong, Ke Gao, Xin Wang Zhang, Ning De Jin, Reik V. Donner, Norbert Marwan, and Jürgen
Kurths. 2013. Recurrence networks from multivariate signals for uncovering dynamic transitions of horizontal oil-water stratified flows. Epl, 103(50004): p1.
33. Schall, Peter, and Martin Van Hecke. 2010. Shear bands in matter with granularity. Annual
Review of Fluid Mechanics 42 (1): 67–88.
34. Benza, V.G., F. Nori, and O. Pla. 1993. Mean-field theory of sandpile avalanches: From the
intermittent- to the continuous-flow regime. Physical Review E Statistical Physics Plasmas
Fluids & Related Interdisciplinary Topics 48 (5): 4095.
35. RaphaëL, Fischer, Gondret Philippe, and Rabaud Marc. 2009. Transition by intermittency in
granular matter: from discontinuous avalanches to continuous flow. Physical Review Letters
103 (12): 128002.
36. Bratberg, I. 2005. Intermittent flow of a collection of rigid frictional disks in a vertical pipe.
Phys Rev E Stat Nonlin Soft Matter Phys 71 (1): 171–184.
37. Campbell, C.S. 1990. Rapid granular flows. Annual Review of Fluid Mechanics 22 (1): 57–92.
38. Goldhirsch, I. 2003. Rapid granular flows. Annual Review of Fluid Mechanics 35 (1): 267–293.
39. Yang, X.T., W.P. Hu, S.Y. Jiang, K.K.L. Wong, and J.Y. Tu. 2012. Mechanism analysis of
quasi-static dense pebble flow in pebble bed reactor using phenomenological approach. Nuclear
Engineering and Design 250: 247–259.
40. Yang, X.T., W.P. Hu, S.Y. Jiang, K.K.L. Wong, and J.Y. Tu. 2012. Mechanism analysis of
quasi-static dense pebble flow in pebble bed reactor using phenomenological approach. Nuclear
Engineering & Design 250 (3): 247–259.
41. Anand, Anshu, Jennifer S. Curtis, Carl R. Wassgren, Bruno C. Hancock, and William R.
Ketterhagen. 2009. Predicting discharge dynamics of wet cohesive particles from a rectangular
hopper using the discrete element method (dem). Chemical Engineering Science 64 (24):
5268–5275.
42. Anshu, Anand, Jennifer S. Curtis, Carl R. Wassgren, Bruno C. Hancock, and William R. Ketterhagen. Predicting discharge dynamics from a rectangular hopper using the discrete element
method (dem). Chemical Engineering Science 63 (24): 5821–5830.
43. Ji, Shunying, Daniel M. Hanes, and Hayley H. Shen. 2009. Comparisons of physical experiment and discrete element simulations of sheared granular materials in an annular shear cell.
Mechanics of Materials 41 (6): 764–776.
44. Magwood, W. 2000. Roadmap to the next generation of nuclear power systems: A vision for a
powerful future. Nuclear News 43: 35–38.
45. Jiang, S.Y., X.T. Yang, Z.W. Tang, W.J. Wang, J.Y. Tu, Z.Y. Liu, and J. Li. 2010. Experimental
and numerical validation of a two-region-designed pebble bed reactor with dynamic core.
Nuclear Engineering and Design, 246:277–285, 2012. Selected and expanded papers from
International Conference Nuclear Energy for New Europe 2010, Portoro?, Slovenia, September
6–9, 2010.
4 Numerical Methods and Simulation for Pebble Flows
25. Rajchenbach, J. 1990. Flow in powders: From discrete avalanches to continuous regime. Physical Review Letters 65 (18): 2221.
26. Albert, W. Alexander, Bodhisattwa Chaudhuri, Abdul Mobeen Faqih, Fernando J. Muzzio,
Clive Davies, and M. Silvina Tomassone. 2006. Avalanching flow of cohesive powders. Powder
Technology, 164(1):13–21.
27. Hajra, K. Suman, Bhattacharya, Mccarthy, and J. J. (2010). Improvement of granular mixing
of dissimilar materials in rotating cylinders. Powder Technology, 198(2): 175–182.
28. Viduka, Stephen, Yuqing Feng, Karen Hapgood, and Phil Schwarz. 2013. Cfd-dem investigation
of particle separations using a sinusoidal jigging profile. Advanced Powder Technology 24 (2):
473–481.
29. Yu, P., and R.P. Behringer. 2005. Granular friction: a slider experiment. Chaos An Interdisciplinary Journal of Nonlinear Science 15 (4): 5241.
30. Zhong Ke Gao and Ning De Jin. 2011. Nonlinear characterization of oil-gas-water three-phase
flow in complex networks. Chemical Engineering Science 66 (12): 2660–2671.
31. Zhong, Ke Gao, Peng Cheng Fang, Mei Shuang Ding, and Ning De Jin. 2015. Multivariate
weighted complex network analysis for characterizing nonlinear dynamic behavior in twophase flow. Experimental Thermal & Fluid Science 60: 157–164.
32. Zhong, Ke Gao, Xin Wang Zhang, Ning De Jin, Reik V. Donner, Norbert Marwan, and Jürgen
Kurths. 2013. Recurrence networks from multivariate signals for uncovering dynamic transitions of horizontal oil-water stratified flows. Epl, 103(50004): p1.
33. Schall, Peter, and Martin Van Hecke. 2010. Shear bands in matter with granularity. Annual
Review of Fluid Mechanics 42 (1): 67–88.
34. Benza, V.G., F. Nori, and O. Pla. 1993. Mean-field theory of sandpile avalanches: From the
intermittent- to the continuous-flow regime. Physical Review E Statistical Physics Plasmas
Fluids & Related Interdisciplinary Topics 48 (5): 4095.
35. RaphaëL, Fischer, Gondret Philippe, and Rabaud Marc. 2009. Transition by intermittency in
granular matter: from discontinuous avalanches to continuous flow. Physical Review Letters
103 (12): 128002.
36. Bratberg, I. 2005. Intermittent flow of a collection of rigid frictional disks in a vertical pipe.
Phys Rev E Stat Nonlin Soft Matter Phys 71 (1): 171–184.
37. Campbell, C.S. 1990. Rapid granular flows. Annual Review of Fluid Mechanics 22 (1): 57–92.
38. Goldhirsch, I. 2003. Rapid granular flows. Annual Review of Fluid Mechanics 35 (1): 267–293.
39. Yang, X.T., W.P. Hu, S.Y. Jiang, K.K.L. Wong, and J.Y. Tu. 2012. Mechanism analysis of
quasi-static dense pebble flow in pebble bed reactor using phenomenological approach. Nuclear
Engineering and Design 250: 247–259.
40. Yang, X.T., W.P. Hu, S.Y. Jiang, K.K.L. Wong, and J.Y. Tu. 2012. Mechanism analysis of
quasi-static dense pebble flow in pebble bed reactor using phenomenological approach. Nuclear
Engineering & Design 250 (3): 247–259.
41. Anand, Anshu, Jennifer S. Curtis, Carl R. Wassgren, Bruno C. Hancock, and William R.
Ketterhagen. 2009. Predicting discharge dynamics of wet cohesive particles from a rectangular
hopper using the discrete element method (dem). Chemical Engineering Science 64 (24):
5268–5275.
42. Anshu, Anand, Jennifer S. Curtis, Carl R. Wassgren, Bruno C. Hancock, and William R. Ketterhagen. Predicting discharge dynamics from a rectangular hopper using the discrete element
method (dem). Chemical Engineering Science 63 (24): 5821–5830.
43. Ji, Shunying, Daniel M. Hanes, and Hayley H. Shen. 2009. Comparisons of physical experiment and discrete element simulations of sheared granular materials in an annular shear cell.
Mechanics of Materials 41 (6): 764–776.
44. Magwood, W. 2000. Roadmap to the next generation of nuclear power systems: A vision for a
powerful future. Nuclear News 43: 35–38.
45. Jiang, S.Y., X.T. Yang, Z.W. Tang, W.J. Wang, J.Y. Tu, Z.Y. Liu, and J. Li. 2010. Experimental
and numerical validation of a two-region-designed pebble bed reactor with dynamic core.
Nuclear Engineering and Design, 246:277–285, 2012. Selected and expanded papers from
International Conference Nuclear Energy for New Europe 2010, Portoro?, Slovenia, September
6–9, 2010.