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, the main task is to get the solution of the above temperature integral. Several methods are available under different approaches, viz., integral, differential and approximation, for the evaluation of the temperature integral. However, most of the

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. For kinetic analyses, the main task is to derive the solution for the above temperature integral. Several methods are available under different approaches, viz., integral, differential, and approximation, for the evaluation of the temperature integral

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Journal of Thermal Analysis and Calorimetry
Authors: Marcelo Kobelnik, Douglas Lopes Cassimiro, Clóvis. A. Ribeiro, Jorge M. V. Capela, Diogines S. Dias, and Marisa S. Crespi

experimental data. As consequence, is required the evaluation of the integral on the right side of the equation ( 1 ), known as temperature integral. A difficulty results from the fact that this integral does not have an exact analytical solution. Thus, is

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in which the temperature integral in Eq. 3 is simplified using the Doyle's approximation [ 31 , 32 ] and the relation is estimated as follow: (6) Tang method Temperature integral relation has been suggested by

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Journal of Thermal Analysis and Calorimetry
Authors: Marcelo Kobelnik, Douglas Lopes Cassimiro, Diógenes dos Santos Dias, Clóvis Augusto Ribeiro, and Marisa Spirandeli Crespi

Eq. 1 is required, known as temperature integral. A difficulty results from the fact that this integral does not have an exact analytical solution. Thus, it is convenient to approximate the integral of temperature for some functions that yield

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Journal of Thermal Analysis and Calorimetry
Authors: Marcelo Kobelnik, Clóvis A. Ribeiro, Diógenes dos Santos Dias, Sonia de Almeida, Marisa Spirandeli Crespi, and Jorge M. V. Capela

, the evaluation of the integral on the right side of the Eq. 1 is required and is known as the temperature integral. A difficulty results from the fact that this integral does not have an exact analytical solution. Thus, it is convenient to

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Journal of Thermal Analysis and Calorimetry
Authors: Marcelo Kobelnik, Douglas Lopes Cassimiro, Diógenes dos Santos Dias, Clóvis Augusto Ribeiro, and Marisa Spirandeli Crespi

data. As consequence, is required the evaluation of the integral on the right side of the Eq. 1 , known as temperature integral. However, the results from these integral do not have an exact analytical solution. Thus is convenient to approximate the

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temperature integral which can be well approximated with Eq. 7 [ 30 – 32 ]: (7) From contours and peak conversions (α M , α p ∞ ) of y (α) and z (α) functions in combination with α p for the maximum reaction rate, one can determine an

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. T method [ 28 , 34 ] Tang et al. [ 34 ] has proposed a new precise approximation of Arrhenius temperature integral using a two-step linearly fitting process that proved to improve accuracy in non-isothermal kinetic data and based on

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Journal of Thermal Analysis and Calorimetry
Authors: Liang Xue, Feng-Qi Zhao, Xiao-Ling Xing, Zhi-Ming Zhou, Kai Wang, Hong-Xu Gao, Jian-Hua Yi, and Rong-Zu Hu

: (13) The limit of the temperature integral in Eq. 13 is from T o0 to T b . When n = 0 (14) When n = 1 (15) When n = 2 (16) We can directly get t 0 = 123.36 s, t 1 = 125.94 s, and t 2 = 128.56 s from Eqs. 14

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