References
393
13. Yang, R.Y., R.P. Zou, and A.B. Yu. 2000. Computer simulation of the packing of hue particles.
Physical Review E Statistical Physics Plasmas Fluids 62 (3PtB): 3900–3908.
14. Kunii, Daizo, and J.M. Smith. 1960. Heat transfer characteristics of porous rocks. AIChE
Journal 6: 71–78.
15. 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.
16. Dale, William D.T., and Harold L. Friedman. 1978. Series solution of the HNC and PY
equations: The simple chain recursion way. Journal of Chemical Physics 68 (8): 3391.
17. Schotte, William. 1960. Thermal conductivity of packed beds. AIChE Journal 6 (1): 63–67.
18. Kamiuto, Kouichi. 1989. Radiative transfer through a randomly-packed bed of spheres. Journal of Quantitative Spectroscopy & Radiative Transfer 41 (1): 23–27.
19. 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.
20. Gusarov, A.V. 2019. Statistical approach to radiative transfer in the heterogeneous media of
thin-wall morphology-ii: Applications. Journal of Heat Transfer 141 (1): 012701.
21. Rousseau, P.G., C.G. Du Toit, W. Van Antwerpen, and H.J. Van Antwerpen. 2014. Separate
effects tests to determine the effective thermal conductivity in the PBMR HTTU test facility.
Nuclear Engineering & Design 271 (6): 444–458.
22. Hao, Wu, Nan Gui, Xingtuan Yang, and Jiyuan Tu, and Shengyao Jiang. 2017. Modeling
effective thermal conductivity of thermal radiation for nuclear packed pebble beds. Journal
of Heat Transfer 140 (4): 042701.
23. Ren, C., X.T. Yang, and S.Y. Jiang. 2016. Development of Chinese HTR-PM pebble bed
equivalent conductivity test facility. Atw. Internationale Zeitschrift fuer Kernenergie 61: 23–
27.
24. Yongyong, Wu, Cheng Ren, Rui Li, Xingtuan Yang, and Jiyuan Tu, and Shengyao Jiang. 2018.
Measurement on effective thermal diffusivity and conductivity of pebble bed under vacuum
condition in high temperature gas-cooled reactor. Progress in Nuclear Energy 106: 195–203.
25. 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.
26. 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.
27. Argo, W.B., and J.M. Smith. 1953. Heat transfer in packed beds. Chemical Engineering
Progress 49: 443–451.
28. Earnshaw, John W, Frank A Londry, and Paul J Gierszewski. 1998. The effective thermal
conductivity of a bed of 1.2-mm-diam lithium zirconate spheres in helium. Fusion Technology
33 (1): 31–37.
29. Mehrabian, Ramin, Ali Shiehnejadhesar, Robert Scharler, and Ingwald Obernberger. 2014.
Multi-physics modelling of packed bed biomass combustion. Fuel 122: 164–178.
30. Walker, T., S.C. Xue, and G.W. Barton. 2010. Numerical determination of radiative view
factors using ray tracing. Journal of Heat Transfer 132 (7): 271–291.
31. Podlozhnyuk, Alexander, Stefan Pirker, and Christoph Kloss. 2017. Efficient implementation of superquadric particles in discrete element method within an open-source framework.
Computational Particle Mechanics 4 (1): 101–118.
32. Sadiku, M.N.O., and R.C. Garcia. 1993. Monte carlo floating random walk solution of poisson’s equation. In Southeastcon’93, proceedings. IEEE.
33. Sabelfeld, K.K., and N.A. Simonov. 2013. Random walks on boundary for solving PDEs.
Walter de Gruyter.
34. Hill, F.B., and R.H. Wilhelm. 2004. Radiative and conductive heat transfer in a quiescent
gas-solid bed of particles: Theory and experiment. AIChE Journal 5 (4): 486–496.
35. Ren, Cheng, Yang Xingtuan, Jia Haijun, Jiang Yueyuan, and Xiong Wei. 2017. Theoretical
analysis of effective thermal conductivity for the Chinese HTR-PM heat transfer test facility.
Applied Sciences 7 (1): 76.
393
13. Yang, R.Y., R.P. Zou, and A.B. Yu. 2000. Computer simulation of the packing of hue particles.
Physical Review E Statistical Physics Plasmas Fluids 62 (3PtB): 3900–3908.
14. Kunii, Daizo, and J.M. Smith. 1960. Heat transfer characteristics of porous rocks. AIChE
Journal 6: 71–78.
15. 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.
16. Dale, William D.T., and Harold L. Friedman. 1978. Series solution of the HNC and PY
equations: The simple chain recursion way. Journal of Chemical Physics 68 (8): 3391.
17. Schotte, William. 1960. Thermal conductivity of packed beds. AIChE Journal 6 (1): 63–67.
18. Kamiuto, Kouichi. 1989. Radiative transfer through a randomly-packed bed of spheres. Journal of Quantitative Spectroscopy & Radiative Transfer 41 (1): 23–27.
19. 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.
20. Gusarov, A.V. 2019. Statistical approach to radiative transfer in the heterogeneous media of
thin-wall morphology-ii: Applications. Journal of Heat Transfer 141 (1): 012701.
21. Rousseau, P.G., C.G. Du Toit, W. Van Antwerpen, and H.J. Van Antwerpen. 2014. Separate
effects tests to determine the effective thermal conductivity in the PBMR HTTU test facility.
Nuclear Engineering & Design 271 (6): 444–458.
22. Hao, Wu, Nan Gui, Xingtuan Yang, and Jiyuan Tu, and Shengyao Jiang. 2017. Modeling
effective thermal conductivity of thermal radiation for nuclear packed pebble beds. Journal
of Heat Transfer 140 (4): 042701.
23. Ren, C., X.T. Yang, and S.Y. Jiang. 2016. Development of Chinese HTR-PM pebble bed
equivalent conductivity test facility. Atw. Internationale Zeitschrift fuer Kernenergie 61: 23–
27.
24. Yongyong, Wu, Cheng Ren, Rui Li, Xingtuan Yang, and Jiyuan Tu, and Shengyao Jiang. 2018.
Measurement on effective thermal diffusivity and conductivity of pebble bed under vacuum
condition in high temperature gas-cooled reactor. Progress in Nuclear Energy 106: 195–203.
25. 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.
26. 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.
27. Argo, W.B., and J.M. Smith. 1953. Heat transfer in packed beds. Chemical Engineering
Progress 49: 443–451.
28. Earnshaw, John W, Frank A Londry, and Paul J Gierszewski. 1998. The effective thermal
conductivity of a bed of 1.2-mm-diam lithium zirconate spheres in helium. Fusion Technology
33 (1): 31–37.
29. Mehrabian, Ramin, Ali Shiehnejadhesar, Robert Scharler, and Ingwald Obernberger. 2014.
Multi-physics modelling of packed bed biomass combustion. Fuel 122: 164–178.
30. Walker, T., S.C. Xue, and G.W. Barton. 2010. Numerical determination of radiative view
factors using ray tracing. Journal of Heat Transfer 132 (7): 271–291.
31. Podlozhnyuk, Alexander, Stefan Pirker, and Christoph Kloss. 2017. Efficient implementation of superquadric particles in discrete element method within an open-source framework.
Computational Particle Mechanics 4 (1): 101–118.
32. Sadiku, M.N.O., and R.C. Garcia. 1993. Monte carlo floating random walk solution of poisson’s equation. In Southeastcon’93, proceedings. IEEE.
33. Sabelfeld, K.K., and N.A. Simonov. 2013. Random walks on boundary for solving PDEs.
Walter de Gruyter.
34. Hill, F.B., and R.H. Wilhelm. 2004. Radiative and conductive heat transfer in a quiescent
gas-solid bed of particles: Theory and experiment. AIChE Journal 5 (4): 486–496.
35. Ren, Cheng, Yang Xingtuan, Jia Haijun, Jiang Yueyuan, and Xiong Wei. 2017. Theoretical
analysis of effective thermal conductivity for the Chinese HTR-PM heat transfer test facility.
Applied Sciences 7 (1): 76.