New distributed activation energy model: Numerical solution and application to pyrolysis kinetics of some types of biomass

Anthony, 1976, Coal devolatilization and hydrogasification, AIChE J., 22, 625, 10.1002/aic.690220403 Braun, 1987, Analysis of chemical reaction kinetics using a distribution of activation energies and simpler models, Energy Fuels, 1, 153, 10.1021/ef00002a003 Burnham, 2005, An nth-order Gaussian energy distribution model for sintering, Chem. Eng. J., 108, 47, 10.1016/j.cej.2004.12.037 Burnham, 1999, Global kinetic analysis of complex materials, Energy Fuels, 13, 1, 10.1021/ef9800765 Burnham, 2004, A distributed activation energy model of thermodynamically inhibited nucleation and growth reactions and its application to the β-δ phase transition of HMX, J. Phys. Chem. B, 108, 19432, 10.1021/jp0483167 Cai, J.M., 2006. Research on various issues of kinetics and thermodynamics of biomass pyrolysis and combustion (in Chinese with English abstract). Ph.D. Dissertation, University of Shanghai for Science and Technology, Shanghai, China. Cai, 2006, Pattern search method for determination of DAEM kinetic parameters from nonisothermal TGA data of biomass, J. Math. Chem. Cai, 2006, Dependence of the frequency factor on the temperature: a new integral method of nonisothermal kinetic analysis, J. Math. Chem. Cai, 2007, Errors involved in the activation energy calculated by integral methods when the frequency factor depends on the temperature (A=A0Tm), J. Therm. Anal. Calorim., 10.1007/s10973-006-7926-2 Cai, 2007, New approximation for the general temperature integral, J. Therm. Anal. Calorim., 10.1007/s10973-006-8178-x Cai, 2006, Nonisothermal nth-order DAEM equation and its parametric study – use in the kinetic analysis of biomass pyrolysis, J. Math. Chem. Capart, 2004, Assessment of various kinetic models for the pyrolysis of a microgranular cellulose, Thermochim. Acta, 417, 79, 10.1016/j.tca.2004.01.029 Chen, 1996, Distributed activation energy model of heterogeneous coal ignition, Combust. Flame, 107, 291, 10.1016/S0010-2180(96)00056-9 Conesa, 1995, Analysis of different kinetic models in the dynamic pyrolysis of cellulose, Thermochim. Acta, 254, 175, 10.1016/0040-6031(94)02102-T Criado, 2005, Dependence of the preexponential factor on temperature: Errors in the activation energies by assuming that A is constant, J. Therm. Anal. Calorim., 82, 671, 10.1007/s10973-005-0948-3 Ding, 2005, A heterogeneous model for gas transport in carbon molecular sieves, Langmuir, 21, 674, 10.1021/la047970a Gorbachev, 1976, Algorism for the solution of the exponential integral in non-isothermal kinetics at linear heating, J. Therm. Anal., 10, 447, 10.1007/BF01909897 Güneş, 2002, A direct search method for determination of DAEM kinetic parameters from nonisothermal TGA data (note), Appl. Math. Comput., 130, 619 Jiang, 2007, Emergy account for biomass resource exploitation by agriculture in China, Energy Policy, 10.1016/j.enpol.2007.03.014 Lakshmanan, 1994, A new distributed activation energy model using Weibull distribution for the representation of complex kinetics, Energy Fuels, 8, 1158, 10.1021/ef00048a001 Lewis, 1999, Pattern search algorithms for bound constrained minimization, SIAM J. Optim., 9, 1082, 10.1137/S1052623496300507 Lewis, 2000, Pattern search methods for linearly constrained minimization, SIAM J. Optim., 10, 917, 10.1137/S1052623497331373 McGuinness, 1999, Asymptotic approximations to the distributed activation energy model, Appl. Math. Lett., 12, 27, 10.1016/S0893-9659(99)00117-2 Miura, 1995, A new and simple method to estimate f(E) and k0(E) in the distributed activation energy model from three sets of experimental data, Energy Fuels, 9, 302, 10.1021/ef00050a014 Necas, 2002 Pilling, 1995 Pitt, 1962, The kinetics of the evolution of volatile products from coal, Fuel, 41, 267 Solomon, 1988, General model of coal devolatilization, Energy Fuels, 2, 405, 10.1021/ef00010a006 Sonobe, 2007, Kinetic analyses of biomass pyrolysis using the distributed activation energy model, Fuel Süli, 2003 Sundararaman, 1992, Determination of kerogen activation energy distribution, Energy Fuels, 6, 793, 10.1021/ef00036a015 Tang, W., 2004. Temperature integral and thermal analysis kinetics studies on the thermal decomposition reactions (in Chinese with English abstract). Ph.D. Dissertation, Wuhan University, China. Tang, 2005, Kinetic studies on the pyrolysis of chitin and chitosan, Polym. Degrad. Stabil., 87, 389, 10.1016/j.polymdegradstab.2004.08.006 Torczon, 1997, On the convergence of pattern search algorithms, SIAM J. Optim., 7, 1, 10.1137/S1052623493250780 Wanjun, 2005, Approximate formulae for calculation of the integral, J. Therm. Anal. Calorim., 81, 347, 10.1007/s10973-005-0790-7 Zhang, 2006, A hybrid surrogate and pattern search optimization method and application to microelectronics, Struct. Multidisc. Optim., 32, 327, 10.1007/s00158-006-0034-x