Beyond the classical kinetic model for chronic graphite oxidation by moisture in high temperature gas-cooled reactors

Abstract Four grades of nuclear graphite were oxidized in helium with traces of moisture and hydrogen in order to evaluate the effects of slow oxidation by moisture on graphite components in high temperature gas cooled reactors. Kinetic analysis showed that the Langmuir-Hinshelwood (LH) model cannot consistently reproduce all results. In particular, at high temperatures and water partial pressures, oxidation was always faster than the LH model predicts. It was also found empirically that the apparent reaction order for water has a sigmoid-type variation with temperature which follows the integral Boltzmann distribution function. This suggests deviations from the LH model are apparently caused by activation with temperature of graphite reactive sites, which is probably rooted in specific structural and electronic properties of graphite. A semi-global kinetic model was proposed, whereby the classical LH model was modified with a temperature-dependent reaction order for water. This new Boltzmann-enhanced Langmuir-Hinshelwood (BLH) model consistently predicts oxidation rates over large ranges of temperature (800–1100 °C) and partial pressures of water (3–1200 Pa) and hydrogen (0–300 Pa). The BLH model can be used for modeling chronic oxidation of graphite components during life-time operation in high- and very high temperature advanced nuclear reactors.

[1]  Rutherford Aris,et al.  On apparent second‐order kinetics , 1987 .

[2]  L. Tognotti,et al.  Multivariable optimization of reaction order and kinetic parameters for high temperature oxidation of 10 bituminous coal chars , 2011 .

[3]  B. Haynes,et al.  Density functional study of the reaction of O2 with a single site on the zigzag edge of graphene , 2011 .

[4]  Weiju Ren,et al.  Generation IV Reactors Integrated Materials Technology Program Plan: Focus on Very High Temperature Reactor Materials , 2008 .

[5]  P. Walker Production of activated carbons : use of CO2 versus H2O as activating agent , 1996 .

[6]  M. M. Stempniewicz Correlation for steam–graphite reaction , 2014 .

[7]  H. L. Brey,et al.  The Fort St. Vrain high temperature gas-cooled reactor: VI. Evaluation and removal of primary coolant contaminants , 1980 .

[8]  Suyuan Yu,et al.  The modeling of graphite oxidation behavior for HTGR fuel coolant channels under normal operating conditions , 2008 .

[9]  B. Haynes,et al.  Oxyreactivity of carbon surface oxides , 2000 .

[10]  R. Buis Sur L'interprétation de la Loi Logistique de Croissance: Une Re-lecture de la Relation Entre Autocatalyse et Croissance On The Interpretation of the Logistic Law of Growth: A New Reading of the Relationships between Autocatalysis and Growth , 1997 .

[11]  Alan K. Burnham,et al.  Pyrolysis kinetics for lacustrine and marine source rocks by programmed micropyrolysis , 1991 .

[12]  R. F. Strickland-Constable The interaction of carbon filaments at high temperatures with nitrous oxide, carbon dioxide and water vapour , 1947 .

[13]  L. Radovic,et al.  Active sites in graphene and the mechanism of CO2 formation in carbon oxidation. , 2009, Journal of the American Chemical Society.

[14]  D. Butt,et al.  An oxygen transfer model for high purity graphite oxidation , 2013 .

[15]  J. Tournier,et al.  Comparison of oxidation model predictions with gasification data of IG-110, IG-430 and NBG-25 nuclear graphite , 2012 .

[16]  H. Atsumi,et al.  Hydrogen absorption and transport in graphite materials , 2003 .

[17]  Delani Njapha,et al.  Reaction kinetics of pulverized coal-chars derived from inertinite-rich coal discards: Gasification with carbon dioxide and steam , 2006 .

[18]  Byung-Joo Kim,et al.  Oxidation behavior of IG and NBG nuclear graphites , 2011 .

[19]  Robert L. Braun,et al.  Global Kinetic Analysis of Complex Materials , 1999 .

[20]  O. Al-Ayed VARIABLE REACTION ORDER FOR KINETIC MODELING OF OIL SHALE PYROLYSIS , 2011 .

[21]  J. Kai,et al.  The relationship between microstructure and oxidation effects of selected IG- and NBG-grade nuclear graphites , 2014 .

[22]  T. Truong,et al.  Thermodynamic evaluation of steam gasification mechanisms of carbonaceous materials , 2009 .

[23]  Arnold E. Reif,et al.  The Mechanism of the Carbon Dioxide–Carbon Reaction , 1952 .

[24]  Philip L. Walker,et al.  Gas Reactions of Carbon , 1975 .

[25]  T. Morimoto,et al.  Adsorption sites for water on graphite. 4. Chemisorption of water on graphite at room temperature , 1988 .

[26]  Robert W. Mee,et al.  Status of Chronic Oxidation Studies of Graphite , 2016 .

[27]  Christopher R. Shaddix,et al.  Combustion kinetics of coal chars in oxygen-enriched environments , 2006 .

[29]  Determination of Arrhenius constants by linear and nonlinear fitting , 1992 .

[30]  Timothy D. Burchell,et al.  The effect of microstructure on air oxidation resistance of nuclear graphite , 2012 .

[31]  Alan K. Burnham,et al.  Use and misuse of logistic equations for modeling chemical kinetics , 2015, Journal of Thermal Analysis and Calorimetry.

[32]  R. Giberson,et al.  Reaction of nuclear graphite with water vapor part I. Effect of hydrogen and water vapor partial pressures , 1966 .

[33]  G. Kinchin,et al.  The electrical properties of graphite , 1953, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[34]  Timothy D. Burchell,et al.  Oxidation of PCEA nuclear graphite by low water concentrations in helium , 2014 .

[35]  Heinrich Badenhorst,et al.  Graphite oxidation and SEM as a tool for microstructural investigation , 2017 .

[36]  G. S. Scott Mechanism of the Steam-Carbon Reaction , 1941 .

[37]  M. Richards Reaction of nuclear-grade graphite with low concentrations of steam in the helium coolant of an MHTGR , 1990 .

[38]  D. Klein,et al.  Graphitic Edges and Unpaired π-Electron Spins , 1999 .

[39]  J. Gadsby,et al.  The mechanism of the carbon dioxide-carbon reaction , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[40]  B. Sumpter,et al.  Unique chemical reactivity of a graphene nanoribbon's zigzag edge. , 2007, The Journal of chemical physics.

[41]  Richard N. Wright,et al.  Kinetics of Gas Reactions and Environmental Degradation in NGNP Helium , 2006 .

[42]  T. Enoki,et al.  The edge state of nanographene and the magnetism of the edge-state spins , 2009 .

[43]  R. Hurt,et al.  Semi-global intrinsic kinetics for char combustion modeling Entry 2 has also been referred to as , 2001 .

[44]  Yu Xiaoyu,et al.  Analysis of graphite gasification by water vapor at different conversions , 2014 .

[45]  W. G. Devi,et al.  Determination of kinetic parameters from temperature programmed desorption curves , 2003 .

[46]  K. W. Sykes,et al.  The mechanism of the steam-carbon reaction , 1948, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[47]  R. Hurt,et al.  On the origin of power-law kinetics in carbon oxidation , 2005 .

[48]  Gerhard Strydom,et al.  Understanding the reaction of nuclear graphite with molecular oxygen: Kinetics, transport, and structural evolution , 2017 .

[49]  R. T. Yang,et al.  Kinetics and mechanisms of the carbon-steam reaction on the monolayer and multilayer edges of graphite , 1985 .

[50]  Brian Castle,et al.  NGNP Reactor Coolant Chemistry Control Study , 2010 .

[51]  Víctor J. García,et al.  Kinetic parameters from a single thermal desorption spectrum , 1995 .

[52]  B. Bockrath,et al.  On the chemical nature of graphene edges: origin of stability and potential for magnetism in carbon materials. , 2005, Journal of the American Chemical Society.

[53]  J. Gadsby,et al.  The kinetics of the reactions of the steam-carbon system , 1946, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[54]  M. P. Kissane,et al.  A review of radionuclide behaviour in the primary system of a very-high-temperature reactor , 2009 .

[55]  Douglas M. Bates,et al.  Nonlinear Regression Analysis and Its Applications , 1988 .