40
1 Introduction
252. Nasr, K., R. Viskanta, and S. Ramadhyani. 1994. An Experimental Evaluation of the Effective
Thermal Conductivities of Packed Beds at High Temperatures. Journal of Heat Transfer 116
(4): 829–837 11.
253. Fenglei Qi, and Mark Mba Wright. 2018. Particle scale modeling of heat transfer in granular
flows in a double screw reactor. Powder Technology 335: 18–34.
254. Ruiz, Gustavo, Nicolás Ripoll, Nataliia Fedorova, Ana Zbogar-Rasic, Vojislav Jovicic, Antonio Delgado, and Mario Toledo. 2019. Experimental and numerical analysis of the heat transfer
in a packed bed exposed to the high thermal radiation flux. International Journal of Heat and
Mass Transfer 136: 383–392.
255. Mehrabian, Ramin, Ali Shiehnejadhesar, Robert Scharler, and Ingwald Obernberger. 2014.
Multi-physics modelling of packed bed biomass combustion. Fuel 122: 164–178.
256. Cheng, G.J., and A.B. Yu. 2013. Particle scale evaluation of the effective thermal conductivity from the structure of a packed bed: Radiation heat transfer. Industrial & Engineering
Chemistry Research 52 (34): 12202–12211.
257. Hao, Wu, Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2018. A smoothed void
fraction method for cfd-dem simulation of packed pebble beds with particle thermal radiation.
International Journal of Heat and Mass Transfer 118: 275–288.
258. Hao, Wu, Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2017. Modeling effective
thermal conductivity of thermal radiation for nuclear packed pebble beds. Journal of Heat
Transfer 140 (4): 042701.
259. Rycroft, Chris H. 2009. Voro++ a three-dimensional voronoi cell library in c++. Chaos 19
(4): 041111.
260. Peter Camps, Maarten Baes, and Waad Saftly. 2013. Using 3D voronoi grids in radiative
transfer simulations. 560.
261. Cheng, G.J., A.B. Yu, and P. Zulli. 1999. Evaluation of effective thermal conductivity from
the structure of a packed bed. Chemical Engineering Science 54 (19): 4199–4209.
262. Argento, C., and D. Bouvard. 1996. A ray tracing method for evaluating the radiative heat
transfer in porous media. International Journal of Heat & Mass Transfer 39 (15): 3175–3180.
263. Van Antwerpen, W., C.G. Du Toit, and P.G. Rousseau. 2010. A review of correlations to
model the packing structure and effective thermal conductivity in packed beds of mono-sized
spherical particles. Nuclear Engineering & Design 240 (7): 1803–1818.
264. Kaviany, M. 1991. Principles of heat transfer in porous media. New York: Springer-Verlag.
265. 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.
266. Chiew, Yee C., and Eduardo D. Glandt. 1983. Simultaneous conduction and radiation in
porous and composite materials: Effective thermal conductivity. Industrial & Engineering
Chemistry Fundamentals 22 (3): 276–282.
267. Gusarov, A.V. 2010. Model of radiative heat transfer in heterogeneous multiphase media.
Physical Review B Condensed Matter 81 (6): 064202.
268. Sakatani, Naoya, Kazunori Ogawa, Masahiko Arakawa, and Satoshi Tanaka. 2018. Thermal
conductivity of lunar regolith simulant jsc-1a under vacuum. Icarus 309: 13–24.
269. Singh, B.P., and M. Kaviany. 1991. Independent theory versus direct simulation of radiation
heat transfer in packed beds. International Journal of Heat & Mass Transfer 34 (11): 2869–
2882.
270. Singh, B.P., and M. Kaviany. 1994. Effect of solid conductivity on radiative heat transfer in
packed beds. International Journal of Heat & Mass Transfer 37 (16): 1159–1168.
271. Yagi, Sakae, and Daizo Kunii. 1960. Studies on effective thermal conductivities in packed
beds. AIChE Journal 6 (4): 373–381.
272. Ana Zbogar, Flemming J. Frandsen, Peter Arendt Jensen, and Peter Glarborg. 2005. Heat
transfer in ash deposits: A modelling tool-box. Progress in Energy and Combustion Science
31 (5–6): 371–421.
273. Krause, Bastian, Birk Liedmann, Jens Wiese, Siegmar Wirtz, and Viktor Scherer. 2015. Coupled three dimensional dem-cfd simulation of a lime shaft kiln-calcination, particle movement
and gas phase flow field. Chemical Engineering Science 134: 834–849.
1 Introduction
252. Nasr, K., R. Viskanta, and S. Ramadhyani. 1994. An Experimental Evaluation of the Effective
Thermal Conductivities of Packed Beds at High Temperatures. Journal of Heat Transfer 116
(4): 829–837 11.
253. Fenglei Qi, and Mark Mba Wright. 2018. Particle scale modeling of heat transfer in granular
flows in a double screw reactor. Powder Technology 335: 18–34.
254. Ruiz, Gustavo, Nicolás Ripoll, Nataliia Fedorova, Ana Zbogar-Rasic, Vojislav Jovicic, Antonio Delgado, and Mario Toledo. 2019. Experimental and numerical analysis of the heat transfer
in a packed bed exposed to the high thermal radiation flux. International Journal of Heat and
Mass Transfer 136: 383–392.
255. Mehrabian, Ramin, Ali Shiehnejadhesar, Robert Scharler, and Ingwald Obernberger. 2014.
Multi-physics modelling of packed bed biomass combustion. Fuel 122: 164–178.
256. Cheng, G.J., and A.B. Yu. 2013. Particle scale evaluation of the effective thermal conductivity from the structure of a packed bed: Radiation heat transfer. Industrial & Engineering
Chemistry Research 52 (34): 12202–12211.
257. Hao, Wu, Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2018. A smoothed void
fraction method for cfd-dem simulation of packed pebble beds with particle thermal radiation.
International Journal of Heat and Mass Transfer 118: 275–288.
258. Hao, Wu, Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2017. Modeling effective
thermal conductivity of thermal radiation for nuclear packed pebble beds. Journal of Heat
Transfer 140 (4): 042701.
259. Rycroft, Chris H. 2009. Voro++ a three-dimensional voronoi cell library in c++. Chaos 19
(4): 041111.
260. Peter Camps, Maarten Baes, and Waad Saftly. 2013. Using 3D voronoi grids in radiative
transfer simulations. 560.
261. Cheng, G.J., A.B. Yu, and P. Zulli. 1999. Evaluation of effective thermal conductivity from
the structure of a packed bed. Chemical Engineering Science 54 (19): 4199–4209.
262. Argento, C., and D. Bouvard. 1996. A ray tracing method for evaluating the radiative heat
transfer in porous media. International Journal of Heat & Mass Transfer 39 (15): 3175–3180.
263. Van Antwerpen, W., C.G. Du Toit, and P.G. Rousseau. 2010. A review of correlations to
model the packing structure and effective thermal conductivity in packed beds of mono-sized
spherical particles. Nuclear Engineering & Design 240 (7): 1803–1818.
264. Kaviany, M. 1991. Principles of heat transfer in porous media. New York: Springer-Verlag.
265. 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.
266. Chiew, Yee C., and Eduardo D. Glandt. 1983. Simultaneous conduction and radiation in
porous and composite materials: Effective thermal conductivity. Industrial & Engineering
Chemistry Fundamentals 22 (3): 276–282.
267. Gusarov, A.V. 2010. Model of radiative heat transfer in heterogeneous multiphase media.
Physical Review B Condensed Matter 81 (6): 064202.
268. Sakatani, Naoya, Kazunori Ogawa, Masahiko Arakawa, and Satoshi Tanaka. 2018. Thermal
conductivity of lunar regolith simulant jsc-1a under vacuum. Icarus 309: 13–24.
269. Singh, B.P., and M. Kaviany. 1991. Independent theory versus direct simulation of radiation
heat transfer in packed beds. International Journal of Heat & Mass Transfer 34 (11): 2869–
2882.
270. Singh, B.P., and M. Kaviany. 1994. Effect of solid conductivity on radiative heat transfer in
packed beds. International Journal of Heat & Mass Transfer 37 (16): 1159–1168.
271. Yagi, Sakae, and Daizo Kunii. 1960. Studies on effective thermal conductivities in packed
beds. AIChE Journal 6 (4): 373–381.
272. Ana Zbogar, Flemming J. Frandsen, Peter Arendt Jensen, and Peter Glarborg. 2005. Heat
transfer in ash deposits: A modelling tool-box. Progress in Energy and Combustion Science
31 (5–6): 371–421.
273. Krause, Bastian, Birk Liedmann, Jens Wiese, Siegmar Wirtz, and Viktor Scherer. 2015. Coupled three dimensional dem-cfd simulation of a lime shaft kiln-calcination, particle movement
and gas phase flow field. Chemical Engineering Science 134: 834–849.