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51. Muzy, J.F., E. Bacry, and A. Arneodo. 1993. Multifractal formalism for fractal signals: The
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52. Jia, Xinlong. 2016. Experimental study and analysis of velocity correlation and intermittency
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53. Johnsson, F., R. C. Zijerveld, J. C. Schouten, Van Den Bleek Cm, and B Leckner. 2000. Characterization of fluidization regimes by time-series analysis of pressure fluctuations. International
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54. Benenati, R.F., and C.B. Brosilow. 1962. Void fraction distribution in beds of spheres. AIChE
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55. Bomboni, E., N. Cerullo, and G. Lomonaco. 2012. Simplified models for pebble-bed htr core
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56. Schertz, William W., and Kenneth B. Bischoff. 1969. Thermal and material transport in nonisothermal packed beds. AIChE Journal 15 (4): 597–604.
57. du Toit, C.G. 2002. The numerical determination of the variation in the porosity of the pebblebed core. In Proceedings of 1st international topical meeting on high temperature reactor
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58. Toit, D.U., and G C. 2008. Radial variation in porosity in annular packed beds. Nuclear Engineering & Design 238 (11): 3073–3079.
59. Du Toit, C.G., and P. G. Rousseau. 2010. The flow and heat transfer in a packed bed high
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60. Vortmeyer, D., and J. Schuster. 1983. Evaluation of steady flow profiles in rectangular and
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61. Cheng, P., and C.T. Hsu. 1986. Fully-developed, forced convective flow through an annular
packed-sphere bed with wall effects. International Journal of Heat and Mass Transfer 29 (12):
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62. Sodré, J.R., and J.A.R. Parise. 1998. Fluid flow pressure drop through an annular bed of spheres
with wall effects. Experimental Thermal & Fluid Science 17 (3): 265–275.
63. Hunt, M.L., and C.L. Tien. 1990. Non-darcian flow, heat and mass transfer in catalytic packedbed reactors. Chemical Engineering Science 45 (1): 55–63.
64. Mueller, Gary E. 1992. Radial void fraction distributions in randomly packed fixed beds of
uniformly sized spheres in cylindrical containers. Powder Technology 72 (3): 269–275.
65. Theuerkauf, Jörg, Paul Witt, and Dominik Schwesig. 2006. Analysis of particle porosity distribution in fixed beds using the discrete element method. Powder Technology 165 (2): 92–99.
66. Auwerda, G.J., J.L. Kloosterman, D. Lathouwers, and T.H.J.J. van der Hagen. 2010. Effects
of random pebble distribution on the multiplication factor in htr pebble bed reactors. Annals of
Nuclear Energy 37 (8): 1056–1066.
235
46. Yang, Xingtuan, Wenping Hu, and Shengyao Jiang. 2009. Experimental investigation on feasibility of two-region-designed pebble-bed high-temperature gas-cooled reactor. Journal of
Nuclear Science & Technology, 46 (4): 374–381.
47. Li, Yu., Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2016. Numerical study
of gravity-driven dense granular flows on flow behavior characterization. Powder Technology
297: 144–152.
48. Yong, Xu, K. D. Kafui, C. Thornton, and Guoping Lian. 2002. Effects of material properties
on granular flow in a silo using dem simulation. Particulate Science & Technology, 20 (2):
109–124.
49. Yang, Xingtuan, Nan Gui, Tu Jiyuan, and Shengyao Jiang. 2014. 3d dem simulation and analysis
of void fraction distribution in a pebble bed high temperature reactor. Nuclear Engineering &
Design 270 (5): 404–411.
50. Suzuki, Michitaka, Yoshikane Muguruma, Mitsuaki Hirota, and Toshio Oshima. 1990. Fractal
dimensions of particle projected shapes. Advanced Powder Technology 1 (2): 115–123.
51. Muzy, J.F., E. Bacry, and A. Arneodo. 1993. Multifractal formalism for fractal signals: The
structure-function approach versus the wavelet-transform modulus-maxima method. Physical
Review E 47 (2): 875–884.
52. Jia, Xinlong. 2016. Experimental study and analysis of velocity correlation and intermittency
of very slow and dense pebble flow in a silo bed. Nuclear Engineering & Design 305: 626–638.
53. Johnsson, F., R. C. Zijerveld, J. C. Schouten, Van Den Bleek Cm, and B Leckner. 2000. Characterization of fluidization regimes by time-series analysis of pressure fluctuations. International
Journal of Multiphase Flow, 26 (4): 663–715.
54. Benenati, R.F., and C.B. Brosilow. 1962. Void fraction distribution in beds of spheres. AIChE
Journal 8 (3): 359–361.
55. Bomboni, E., N. Cerullo, and G. Lomonaco. 2012. Simplified models for pebble-bed htr core
burn-up calculations with monteburns2.0 ©. Annals of Nuclear Energy, 40 (1): 72–83.
56. Schertz, William W., and Kenneth B. Bischoff. 1969. Thermal and material transport in nonisothermal packed beds. AIChE Journal 15 (4): 597–604.
57. du Toit, C.G. 2002. The numerical determination of the variation in the porosity of the pebblebed core. In Proceedings of 1st international topical meeting on high temperature reactor
technology (HTR2002), Petten, Netherlands, 2002.
58. Toit, D.U., and G C. 2008. Radial variation in porosity in annular packed beds. Nuclear Engineering & Design 238 (11): 3073–3079.
59. Du Toit, C.G., and P. G. Rousseau. 2010. The flow and heat transfer in a packed bed high
temperature gas-cooled reactor. In International Heat Transfer Conference.
60. Vortmeyer, D., and J. Schuster. 1983. Evaluation of steady flow profiles in rectangular and
circular packed beds by a variational method. Chemical Engineering Science 38 (10): 1691–
1699.
61. Cheng, P., and C.T. Hsu. 1986. Fully-developed, forced convective flow through an annular
packed-sphere bed with wall effects. International Journal of Heat and Mass Transfer 29 (12):
1843–1853.
62. Sodré, J.R., and J.A.R. Parise. 1998. Fluid flow pressure drop through an annular bed of spheres
with wall effects. Experimental Thermal & Fluid Science 17 (3): 265–275.
63. Hunt, M.L., and C.L. Tien. 1990. Non-darcian flow, heat and mass transfer in catalytic packedbed reactors. Chemical Engineering Science 45 (1): 55–63.
64. Mueller, Gary E. 1992. Radial void fraction distributions in randomly packed fixed beds of
uniformly sized spheres in cylindrical containers. Powder Technology 72 (3): 269–275.
65. Theuerkauf, Jörg, Paul Witt, and Dominik Schwesig. 2006. Analysis of particle porosity distribution in fixed beds using the discrete element method. Powder Technology 165 (2): 92–99.
66. Auwerda, G.J., J.L. Kloosterman, D. Lathouwers, and T.H.J.J. van der Hagen. 2010. Effects
of random pebble distribution on the multiplication factor in htr pebble bed reactors. Annals of
Nuclear Energy 37 (8): 1056–1066.
