caa a22 4500 469040297 CHVBK 20180323132809.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF02663700 doi (NATIONALLICENCE)springer-10.1007/BF02663700 Theory and applications of ignition with variable activation energy [Elektronische Daten] [G. Wake, M. Sleeman, X. Chen, J. Jones] The determination of critical conditions for thermal ignition of combustible materials has been traditionally studied by the use of one overall reaction with bounded parameter values for the activation energy and other chemical constants. Significant errors can occur in the values of the threshold parameters for ignition when there are two (or more) simultaneous reactions present with distinct values of the chemical constants. Recent work with simultaneous parallel reactions showed the thresholds for ignition could be lowered in this case. In this paper, motivated by experimental results for forest litter and coal, it is shown that for sequential reactions (different values of parameters in different temperature ranges) that the threshold conditions are changed (safer for lower ambient temperatures and less safe for higher ambient temperatures). The mathematical analysis is summarised and a detailed analysis is given for the forest litter and crushed coal applications. The experimental results show that variable activation energy does occur and that this extension of the classical Frank-Kamenetskii theory is needed. Here the analysis is confined to the slab geometry only but the ideas developed can easily be extended to more general systems, including those involving mass transport, consumption, and phase changes. Science Press, 1992 thermal ignition nationallicence variable activation energy nationallicence Wake G. Department of Mathematics, Massey University, Palmerston North, New Zealand aut Sleeman M. Department of Mathematics, Massey University, Palmerston North, New Zealand aut Chen X. New Zealand Dairy Research Institute, Milk Powders & Drying Section, Palmerston North, New Zealand aut Jones J. School of Chemical Engineering and Industrial Chemistry, University of New South Wales, P.O. Box 1, 2033, Kensington, NSW, Australia aut Journal of Thermal Science Science Press 1/3(1992-09-01), 208-212 1003-2169 1:3<208 1992 1 11630 https://doi.org/10.1007/BF02663700 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02663700 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wake G. Department of Mathematics, Massey University, Palmerston North, New Zealand aut NATIONALLICENCE 700 1- Sleeman M. Department of Mathematics, Massey University, Palmerston North, New Zealand aut NATIONALLICENCE 700 1- Chen X. New Zealand Dairy Research Institute, Milk Powders & Drying Section, Palmerston North, New Zealand aut NATIONALLICENCE 700 1- Jones J. School of Chemical Engineering and Industrial Chemistry, University of New South Wales, P.O. Box 1, 2033, Kensington, NSW, Australia aut NATIONALLICENCE 773 0- Journal of Thermal Science Science Press 1/3(1992-09-01), 208-212 1003-2169 1:3<208 1992 1 11630 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer