Kinetics of hydrogen absorption in getter materials for a cylindrical tank: analytical and numerical resolutions
Germain Gondor1
, Rachid Laydi2, Christian Lexcellent1
1Institut FEMTO-ST, Département de Mécanique Appliquée, Université de Franche-Comté 24 chemin de l’Epitaphe, 25000 Besançon, France.
2Ecole Nationale Supérieure de Mécanique et des Microtechniques (ENSMM), Service Mathématique 26 chemin de l’Epitaphe, 25000 Besançon, France.
DOI:
https://doi.org/10.7494/cmms.2006.1.0096
Abstract:
The kinetics of hydrogen absorption in getter materials is studied. The dissociation of hydrogen molecules on the surface, penetration of hydrogen atoms into the material and bulk diffusion are taken into account. This paper extended the investigation on a wall (1D Cartesian case) performed by Liu et al. to a hollow cylinder more closed to technological application. The resolution of the equation system is solved in an analytical way (Bessel and Euler functions included) or by finite difference methods (Explicit and Implicit schemes are described). For a given time period, the filling rate of hydrogen absorbed in the container can be estimated.
Cite as:
Gondor, G., Laydi, R., Lexcellent, C. (2006). Kinetics of hydrogen absorption in getter materials for a cylindrical tank: analytical and numerical resolutions. Computer Methods in Materials Science, 6(1), 1 – 8. https://doi.org/10.7494/cmms.2006.1.0096
Article (PDF):
Keywords:
Kinetics, Hydrogen storage, Spectral methods, Finite difference method
References:
Carter, T.J., Cornish, L.A., 2001, Hydrogen in metal, Eng. Fail. Anal., 8, 113-121
Chou, K. C., Qian, L., Qin, L., Jiang, L. J., Xu, K. D.,2004, Kinetics of absorption and desorption of hydrogen in alloy powder, Hydrogen Energy, 30, 301-309.
Fernảndez, G. E., Meyer, G., 2000, A reaction-diffusion analysis of the hydriding kinetics of zirconium-based alloys, Journal of Nuclear Materials, 279, 167-172
Gao, B., Cui, S., 1983, Vacuum physics. Beijing: Scientific Press, 390 [in Chinese].
Laydi, R, 2006, Private communication.
Li, Q., Chou, K.C., Jiang, L.J., Feng, Z., 2004, Hydriding kinetics of the La1.5Ni0.5Mg17–H system prepared by hydriding combustion synthesis, Intermetallics, 12, 1293-1298.
Liu, C.Z., Shi, L.Q., Xu, S.L., Zhou, Z.Y., Luo, Z.Y., Long, X.G, 2004, Kinetics of hydrogen uptake for getter materials, Vacuum 75, 71-78.
Schwarz, R.B., Khachaturyan, A.G., 1995, Thermodynamics of open two-phase systems with coherent interfaces, Physical Review Letters, 74, 2523-2526.
Schwarz, R.B., Khachaturyan, A.G., 2006, Thermodynamics of open two-phase systems with coherent interfaces: application to metal hydrogen systems, Acta Materialia, 54, 313-323.