Using
ordinary differential equations system to solve isoconversional problems in
non-isothermal kinetic analysis |
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Authors: | J U Jansen L D B Machado |
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Institution: | 1.Instituto de Pesquisas Energéticas
e Nucleares,Centro de Tecnologia das Radia??es,S?o Paulo,Brazil |
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Abstract: | The mathematical evaluation of the activation
energy, E, of non-isothermal degradation
reactions is usually made using the Ozawa/Flynn–Wall isoconversion principle
and involves the numerical resolution of a set of integrals without closed
form solution, which are solved by polynomial approximation or by numeric
integration. In the present work, the isoconversion principle, originally
described and maintained until now as an algebraic problem, was written as
a set of ordinary differential equations (ODEs). The individual ODEs obtained
are integrated by numeric methods and are used to estimate the activation
energy of simulated examples. A least square error (LSE) objective function
using the introduced ODEs was written to deal with multiple heating rate CaCO3
thermal decomposition TG experiments. |
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Keywords: | activation energy calculation non-isothermal methods temperature integrals |
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