158
3 Experiments in Pebble Bed Heat Transfer
5. Da Silva, C.K.F., Z.E. Da Silva, and V.C. Mariani. 2009. Determination of the diffusion coefficient of dry mushrooms using the inverse method. Journal of Food Engineering 95 (1): 1–10.
6. Mejias, M.M., H.R.B. Orl, and M.N. Ozisik. 1999. A comparison of different parameter estimation techniques for the identification of thermal conductivity components of orthotropic
solids. Proceedings of the 3rd International Conference on Inverse Problems in Engineering,
1999.
7. James, V Beck and Keith A Woodbury. 1998. Inverse problems and parameter estimation:
integration of measurements and analysis. Measurement Science and Technology 9 (6): 839–
847.
8. Levenberg, K. 1944. A method for the solution of certain non-linear problems in least squares.
Quarterly of Applied Mathematics 2: 164–168.
9. Marquardt, D.W. 1963. An algorithm for least squares estimation of nonlinear parameters.
Journal of the Society for Industrial and Applied Mathematics 11 (2): 431–441.
10. 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.
11. De Beer, M., C.G. Du Toit, and P.G. Rousseau. 2017. A methodology to investigate the contribution of conduction and radiation heat transfer to the effective thermal conductivity of packed
graphite pebble beds, including the wall effect. Nuclear Engineering & Design 314: 67–81.
12. Cheng, P., and C.T. Hsu. 1981. Fully-developed, forced convective flow through an annular
packed-sphere bed with wall effects. International Journal of Heat & Mass Transfer 29 (12):
1843–1853.
13. Toit, D.U. and G. C. 2008. Radial variation in porosity in annular packed beds. Nuclear Engineering & Design 238 (11): 3073–3079.
14. 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.
15. 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.
16. Beck, J.V., and K.J. Arnold. 1977. Parameter estimation in engineering and science. NY: Wiley.
17. Le Niliot, Christophe, and Frédéric Lefévre. 2004. A parameter estimation approach to solve
the inverse problem of point heat sources identification. International Journal of Heat and
Mass Transfer 47 (4): 827–841.
18. Ukrainczyk, Neven. 2009. Thermal diffusivity estimation using numerical inverse solution for
1d heat conduction. International Journal of Heat and Mass Transfer 52 (25): 5675–5681.
19. Shih Yu Shen. 1999. A numerical study of inverse heat conduction problems. Computers &
Mathematics with Applications 38 (7–8): 173–188.
20. Beck, J.V., B. Blackwell, and A. Haji-Sheikh. 1996. Comparison of some inverse heat conduction methods using experimental data. International Journal of Heat and Mass Transfer 39
(17): 3649–3657.
21. Beck, James V., and Keith A. Woodbury. 2016. Inverse heat conduction problem: Sensitivity
coefficient insights, filter coefficients, and intrinsic verification. International Journal of Heat
and Mass Transfer 97: 578–588.
22. 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.
23. Yongyong, Wu, Cheng Ren, Rui Li, Xingtuan Yang, Tu Jiyuan, 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.
24. 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, 2018.
3 Experiments in Pebble Bed Heat Transfer
5. Da Silva, C.K.F., Z.E. Da Silva, and V.C. Mariani. 2009. Determination of the diffusion coefficient of dry mushrooms using the inverse method. Journal of Food Engineering 95 (1): 1–10.
6. Mejias, M.M., H.R.B. Orl, and M.N. Ozisik. 1999. A comparison of different parameter estimation techniques for the identification of thermal conductivity components of orthotropic
solids. Proceedings of the 3rd International Conference on Inverse Problems in Engineering,
1999.
7. James, V Beck and Keith A Woodbury. 1998. Inverse problems and parameter estimation:
integration of measurements and analysis. Measurement Science and Technology 9 (6): 839–
847.
8. Levenberg, K. 1944. A method for the solution of certain non-linear problems in least squares.
Quarterly of Applied Mathematics 2: 164–168.
9. Marquardt, D.W. 1963. An algorithm for least squares estimation of nonlinear parameters.
Journal of the Society for Industrial and Applied Mathematics 11 (2): 431–441.
10. 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.
11. De Beer, M., C.G. Du Toit, and P.G. Rousseau. 2017. A methodology to investigate the contribution of conduction and radiation heat transfer to the effective thermal conductivity of packed
graphite pebble beds, including the wall effect. Nuclear Engineering & Design 314: 67–81.
12. Cheng, P., and C.T. Hsu. 1981. Fully-developed, forced convective flow through an annular
packed-sphere bed with wall effects. International Journal of Heat & Mass Transfer 29 (12):
1843–1853.
13. Toit, D.U. and G. C. 2008. Radial variation in porosity in annular packed beds. Nuclear Engineering & Design 238 (11): 3073–3079.
14. 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.
15. 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.
16. Beck, J.V., and K.J. Arnold. 1977. Parameter estimation in engineering and science. NY: Wiley.
17. Le Niliot, Christophe, and Frédéric Lefévre. 2004. A parameter estimation approach to solve
the inverse problem of point heat sources identification. International Journal of Heat and
Mass Transfer 47 (4): 827–841.
18. Ukrainczyk, Neven. 2009. Thermal diffusivity estimation using numerical inverse solution for
1d heat conduction. International Journal of Heat and Mass Transfer 52 (25): 5675–5681.
19. Shih Yu Shen. 1999. A numerical study of inverse heat conduction problems. Computers &
Mathematics with Applications 38 (7–8): 173–188.
20. Beck, J.V., B. Blackwell, and A. Haji-Sheikh. 1996. Comparison of some inverse heat conduction methods using experimental data. International Journal of Heat and Mass Transfer 39
(17): 3649–3657.
21. Beck, James V., and Keith A. Woodbury. 2016. Inverse heat conduction problem: Sensitivity
coefficient insights, filter coefficients, and intrinsic verification. International Journal of Heat
and Mass Transfer 97: 578–588.
22. 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.
23. Yongyong, Wu, Cheng Ren, Rui Li, Xingtuan Yang, Tu Jiyuan, 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.
24. 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, 2018.