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function model for solving effective radiative heat transfer in packed bed. Annals of Nuclear
Energy 135: 107000.
275. Modest, M.F. 2013. Radiative Heat Transfer. Academic Press.
276. 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.
277. Gao, Zuying, and Lei Shi. 2002. Thermal hydraulic calculation of the htr-10 for the initial
and equilibrium core. Nuclear Engineering and Design 218 (1): 51–64.
278. 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.
279. 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.
280. Lee, S., S.U.-S. Choi, S. Li, and J.A. Eastman. 1999. Measuring thermal conductivity of fluids
containing oxide nanoparticles. Journal of Heat Transfer 121 (2): 280–289, 05.
281. Hrishikesh E. Patel, T. Sundararajan, and Sarit K. Das. 2003. An experimental investigation
into the thermal conductivity enhancement in oxide and metallic nanofluids. 12 (3): 1015–
1031.
282. Aichlmayr, H.T., and F.A. Kulacki. 2006. On the effective thermal conductivity of saturated
porous media. 39 (1): 377–460.
283. Majid Bahrami, M., Michael Yovanovich, and J. Richard Culham. 2006. Effective thermal
conductivity of rough spherical packed beds. International Journal of Heat & Mass Transfer
49 (19): 3691–3701.
284. Godbee and Herschel W. 1966. Thermal conductivities of mgo, Al2O3, and zro2 powders to
850 ◦ C. ii. theoretical. Journal of Applied Physics 37(1): 56.
285. Ren, Cheng, L.I. Xingtuan Yang, Yanfei Sun Congxin, and Shengyao Jiang. 2014. Heating
system design and validation for the pebble bed effective thermal conductivity experiment in
a high temperature gas-cooled reactor. Journal of Tsinghua University 54 (8): 1068–1072.
286. Ren, C., X. Yang, C. Li, Y. Sun, and Z. Liu. 2015. Modeling of the heat transfer characteristics
of the effective thermal conductivity test facility for high temperature gas-cooled reactors. 55:
991–997, 09.
287. Yongyong Wu, Ren Cheng, Li Rui, Pengxin Cheng, Xingtuan Yang, and Jiyuan Tu. 2017.
Data processing method for effective thermal diffusivity experiment of pebble bed in high
temperature gas-cooled reactors.
288. Yongyong Wu, Cheng Ren, Rui Li, Xingtuan Yang, Jiyuan Tu, and Shengyao Jiang. 2018.
Method and validation for measurement of effective thermal diffusivity and conductivity of
pebble bed in high temperature gas-cooled reactors. Journal of Nuclear Engineering and
Radiation Science.
289. Botterill, J.S.M., A.G. Salway, and Y. Teoman. 1989. The effective thermal conductivity of
high temperature particulate beds-i. Experimental determination. International Journal of
Heat & Mass Transfer 32 (3): 585–593.
290. Fedina, Irina, Efim Litovsky, Michael Shapiro, and Arthur Shavit. 1997. Thermal conductivity
of packed beds of refractory particles: Experimental results. Journal of the American Ceramic
Society 80 (8).
291. Becker, S., and E. Laurien. 2003. Three-dimensional numerical simulation of flow and heat
transport in high-temperature nuclear reactors. Nuclear Engineering and Design 222 (2): 189–
201. HTR-2002 1st international topical meeting on High Temperature reactor technology.
292. Yanhua Zheng, J. Lapins, E. Laurien, L. Shi, and Z. Zhang. 2012. Thermal hydraulic analysis
of a pebble-bed modular high temperature gas-cooled reactor with attica3d and thermix codes.
Nuclear Engineering and Design 246: 286–297. Selected and expanded papers from International Conference Nuclear Energy for New Europe 2010, Portoro, Slovenia, September 6–9,
2010.
41
274. Hao, Wu, Nan Gui, Xingtuan Yang, Tu Jiyuan, and Shengyao Jiang. 2020. An approximation
function model for solving effective radiative heat transfer in packed bed. Annals of Nuclear
Energy 135: 107000.
275. Modest, M.F. 2013. Radiative Heat Transfer. Academic Press.
276. 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.
277. Gao, Zuying, and Lei Shi. 2002. Thermal hydraulic calculation of the htr-10 for the initial
and equilibrium core. Nuclear Engineering and Design 218 (1): 51–64.
278. 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.
279. 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.
280. Lee, S., S.U.-S. Choi, S. Li, and J.A. Eastman. 1999. Measuring thermal conductivity of fluids
containing oxide nanoparticles. Journal of Heat Transfer 121 (2): 280–289, 05.
281. Hrishikesh E. Patel, T. Sundararajan, and Sarit K. Das. 2003. An experimental investigation
into the thermal conductivity enhancement in oxide and metallic nanofluids. 12 (3): 1015–
1031.
282. Aichlmayr, H.T., and F.A. Kulacki. 2006. On the effective thermal conductivity of saturated
porous media. 39 (1): 377–460.
283. Majid Bahrami, M., Michael Yovanovich, and J. Richard Culham. 2006. Effective thermal
conductivity of rough spherical packed beds. International Journal of Heat & Mass Transfer
49 (19): 3691–3701.
284. Godbee and Herschel W. 1966. Thermal conductivities of mgo, Al2O3, and zro2 powders to
850 ◦ C. ii. theoretical. Journal of Applied Physics 37(1): 56.
285. Ren, Cheng, L.I. Xingtuan Yang, Yanfei Sun Congxin, and Shengyao Jiang. 2014. Heating
system design and validation for the pebble bed effective thermal conductivity experiment in
a high temperature gas-cooled reactor. Journal of Tsinghua University 54 (8): 1068–1072.
286. Ren, C., X. Yang, C. Li, Y. Sun, and Z. Liu. 2015. Modeling of the heat transfer characteristics
of the effective thermal conductivity test facility for high temperature gas-cooled reactors. 55:
991–997, 09.
287. Yongyong Wu, Ren Cheng, Li Rui, Pengxin Cheng, Xingtuan Yang, and Jiyuan Tu. 2017.
Data processing method for effective thermal diffusivity experiment of pebble bed in high
temperature gas-cooled reactors.
288. Yongyong Wu, Cheng Ren, Rui Li, Xingtuan Yang, Jiyuan Tu, and Shengyao Jiang. 2018.
Method and validation for measurement of effective thermal diffusivity and conductivity of
pebble bed in high temperature gas-cooled reactors. Journal of Nuclear Engineering and
Radiation Science.
289. Botterill, J.S.M., A.G. Salway, and Y. Teoman. 1989. The effective thermal conductivity of
high temperature particulate beds-i. Experimental determination. International Journal of
Heat & Mass Transfer 32 (3): 585–593.
290. Fedina, Irina, Efim Litovsky, Michael Shapiro, and Arthur Shavit. 1997. Thermal conductivity
of packed beds of refractory particles: Experimental results. Journal of the American Ceramic
Society 80 (8).
291. Becker, S., and E. Laurien. 2003. Three-dimensional numerical simulation of flow and heat
transport in high-temperature nuclear reactors. Nuclear Engineering and Design 222 (2): 189–
201. HTR-2002 1st international topical meeting on High Temperature reactor technology.
292. Yanhua Zheng, J. Lapins, E. Laurien, L. Shi, and Z. Zhang. 2012. Thermal hydraulic analysis
of a pebble-bed modular high temperature gas-cooled reactor with attica3d and thermix codes.
Nuclear Engineering and Design 246: 286–297. Selected and expanded papers from International Conference Nuclear Energy for New Europe 2010, Portoro, Slovenia, September 6–9,
2010.