398
5 Numerical Models for Pebble-Bed Heat Transfer
124. Zhu, H.P., and A.B. Yu. 2002. Averaging method of granular materials. Physical Review E
66 (2): 021302.
125. van Buijtenen, Maureen S., Willem-Jan van Dijk, Niels G. Deen, J.A.M. Kuipers, T. Leadbeater, and D.J. Parker. 2011. Numerical and experimental study on multiple-spout fluidized
beds. Chemical Engineering Science 66 (11): 2368–2376.
126. Jajcevic, Dalibor, Eva Siegmann, Charles Radeke, and Johannes G. Khinast. 2013. Largescale CFD-DEM simulations of fluidized granular systems. Chemical Engineering Science
98: 298–310.
127. Schneiderbauer, Simon, Andreas Aigner, and Stefan Pirker. 2012. A comprehensive frictionalkinetic model for gas-particle flows: Analysis of fluidized and moving bed regimes. Chemical
Engineering Science 80: 279–292.
128. Kunitomi, K., Y. Sun, S. Ball, H. Brey, and M. Methnani. 2003 Evaluation of high temperature
gas cooled reactor performance: Benchmark analysis related to initial testing of the HTTR
and HTR-10. IAEA-TEDOC-1382, International Atomic Energy Agency.
129. Chen, Fubing, Yujie Dong, Yanhua Zheng, Lei Shi, and Zuoyi Zhang. 2009. Benchmark
calculation for the steady-state temperature distribution of the HTR-10 under full-power
operation. Journal of Nuclear Science & Technology 46 (6): 572–580.
130. Senthil Kumar, V., and V. Kumaran. 2005. Voronoi cell volume distribution and configurational
entropy of hard-spheres. Journal of Chemical Physics 123 (11): 114501.
131. Rycroft Chris, H., S. Grest Gary, W. Landry James, and Martin Z. Bazant. 2006. Analysis of
granular flow in a pebble-bed nuclear reactor. Physical Review E Statistical Nonlinear & Soft
Matter Physics 74 (2 Pt 1): 021306.
132. Rycroft, Chris H., Abdel Dehbi, Terttaliisa Lind, and Salih Güntay. 2013. Granular flow in
pebble-bed nuclear reactors: Scaling, dust generation, and stress. Nuclear Engineering and
Design 265: 69–84.
133. Suikkanen, Heikki, Jouni Ritvanen, Payman Jalali, and Riitta Kyrki-Rajamäki. 2014. Discrete
element modelling of pebble packing in pebble bed reactors. Nuclear Engineering & Design
273: 24–32.
134. Asakuma, Yusuke, Yushin Kanazawa, and Tsuyoshi Yamamoto. 2014. Thermal radiation
analysis of packed bed by a homogenization method. International Journal of Heat and Mass
Transfer 73: 97–102.
135. Matsumoto, T., and A. Ono. 1995. Specific heat capacity and emissivity measurements of
ribbon-shaped graphite using pulse current heating. International Journal of Thermophysics
16 (1): 267–275.
136. Jung-Jae, L.E.E., Y.O.O.N. Su-Jong, P.A.R.K. Goon-Cherl, and L.E.E. Won-Jae. 2017.
Turbulence-induced heat transfer in PBMR core using les and rans. Journal of Nuclear Science
and Technology 44 (7): 985–996.
137. Kasparek, G., and D. Vortmeyer. 1976. Wärmestrahlung in schüttungen aus kugeln mit vernachlässigbarem wärmeleitwiderstand 9 (2): 117–128.
138. Sih, S.S., and J.W. Barlow. 2004. The prediction of the emissivity and thermal conductivity
of powder beds. Particulate Science and Technology 22 (4): 427–440.
139. Ma, F., and P. Zhang. 2017. Investigation on the performance of a high-temperature packed
bed latent heat thermal energy storage system using al-si alloy. Energy Conversion and Management 150: 500–514.
140. Wang, Shuai, Hu Kun Luo, Junjie Lin Chenshu, and Jianren Fan. 2019. CFD-DEM simulation
of heat transfer in fluidized beds: Model verification, validation, and application. Chemical
Engineering Science 197: 280–295.
141. Oppenheim, A.K. 1956. Radiation analysis by the network method. Transactions of the ASME
78: 725–735.
142. Batchelor, G.K., and R.W. O’Brien. 1977. Thermal or electrical conduction through a granular
material. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences
355 (355): 313–333.
143. Sakatani, N., K. Ogawa, Y. Iijima, M. Arakawa, R. Honda, and S. Tanaka. 2017. Thermal
conductivity model for powdered materials under vacuum based on experimental studies. AIP
Advances 7 (1): 015310.
5 Numerical Models for Pebble-Bed Heat Transfer
124. Zhu, H.P., and A.B. Yu. 2002. Averaging method of granular materials. Physical Review E
66 (2): 021302.
125. van Buijtenen, Maureen S., Willem-Jan van Dijk, Niels G. Deen, J.A.M. Kuipers, T. Leadbeater, and D.J. Parker. 2011. Numerical and experimental study on multiple-spout fluidized
beds. Chemical Engineering Science 66 (11): 2368–2376.
126. Jajcevic, Dalibor, Eva Siegmann, Charles Radeke, and Johannes G. Khinast. 2013. Largescale CFD-DEM simulations of fluidized granular systems. Chemical Engineering Science
98: 298–310.
127. Schneiderbauer, Simon, Andreas Aigner, and Stefan Pirker. 2012. A comprehensive frictionalkinetic model for gas-particle flows: Analysis of fluidized and moving bed regimes. Chemical
Engineering Science 80: 279–292.
128. Kunitomi, K., Y. Sun, S. Ball, H. Brey, and M. Methnani. 2003 Evaluation of high temperature
gas cooled reactor performance: Benchmark analysis related to initial testing of the HTTR
and HTR-10. IAEA-TEDOC-1382, International Atomic Energy Agency.
129. Chen, Fubing, Yujie Dong, Yanhua Zheng, Lei Shi, and Zuoyi Zhang. 2009. Benchmark
calculation for the steady-state temperature distribution of the HTR-10 under full-power
operation. Journal of Nuclear Science & Technology 46 (6): 572–580.
130. Senthil Kumar, V., and V. Kumaran. 2005. Voronoi cell volume distribution and configurational
entropy of hard-spheres. Journal of Chemical Physics 123 (11): 114501.
131. Rycroft Chris, H., S. Grest Gary, W. Landry James, and Martin Z. Bazant. 2006. Analysis of
granular flow in a pebble-bed nuclear reactor. Physical Review E Statistical Nonlinear & Soft
Matter Physics 74 (2 Pt 1): 021306.
132. Rycroft, Chris H., Abdel Dehbi, Terttaliisa Lind, and Salih Güntay. 2013. Granular flow in
pebble-bed nuclear reactors: Scaling, dust generation, and stress. Nuclear Engineering and
Design 265: 69–84.
133. Suikkanen, Heikki, Jouni Ritvanen, Payman Jalali, and Riitta Kyrki-Rajamäki. 2014. Discrete
element modelling of pebble packing in pebble bed reactors. Nuclear Engineering & Design
273: 24–32.
134. Asakuma, Yusuke, Yushin Kanazawa, and Tsuyoshi Yamamoto. 2014. Thermal radiation
analysis of packed bed by a homogenization method. International Journal of Heat and Mass
Transfer 73: 97–102.
135. Matsumoto, T., and A. Ono. 1995. Specific heat capacity and emissivity measurements of
ribbon-shaped graphite using pulse current heating. International Journal of Thermophysics
16 (1): 267–275.
136. Jung-Jae, L.E.E., Y.O.O.N. Su-Jong, P.A.R.K. Goon-Cherl, and L.E.E. Won-Jae. 2017.
Turbulence-induced heat transfer in PBMR core using les and rans. Journal of Nuclear Science
and Technology 44 (7): 985–996.
137. Kasparek, G., and D. Vortmeyer. 1976. Wärmestrahlung in schüttungen aus kugeln mit vernachlässigbarem wärmeleitwiderstand 9 (2): 117–128.
138. Sih, S.S., and J.W. Barlow. 2004. The prediction of the emissivity and thermal conductivity
of powder beds. Particulate Science and Technology 22 (4): 427–440.
139. Ma, F., and P. Zhang. 2017. Investigation on the performance of a high-temperature packed
bed latent heat thermal energy storage system using al-si alloy. Energy Conversion and Management 150: 500–514.
140. Wang, Shuai, Hu Kun Luo, Junjie Lin Chenshu, and Jianren Fan. 2019. CFD-DEM simulation
of heat transfer in fluidized beds: Model verification, validation, and application. Chemical
Engineering Science 197: 280–295.
141. Oppenheim, A.K. 1956. Radiation analysis by the network method. Transactions of the ASME
78: 725–735.
142. Batchelor, G.K., and R.W. O’Brien. 1977. Thermal or electrical conduction through a granular
material. Proceedings of the Royal Society A Mathematical Physical & Engineering Sciences
355 (355): 313–333.
143. Sakatani, N., K. Ogawa, Y. Iijima, M. Arakawa, R. Honda, and S. Tanaka. 2017. Thermal
conductivity model for powdered materials under vacuum based on experimental studies. AIP
Advances 7 (1): 015310.