New approximation for the general temperature integral |
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| Authors: | J M Cai R H Liu |
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| Institution: | (1) Biomass Energy Engineering Research Center, School of Agriculture and Biology, Shanghai Jiao Tong University, 2678 Qixin Road, Shanghai, 201101, People’s Republic of China |
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| Abstract: | A new approximation has been proposed for calculation of the general temperature integral $
\int\limits_0^T {T^m } e^{ - E/RT} dT
$
\int\limits_0^T {T^m } e^{ - E/RT} dT
, which frequently occurs in the nonisothermal kinetic analysis with the dependence of the frequency factor on the temperature
(A=A
0
T
m). It is in the following form:
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$
\int\limits_0^T {T^m } e^{ - E/RT} dT = \frac{{RT^{m + 2} }}
{E}e^{ - E/RT} \frac{{0.99954E + (0.044967m + 0.58058)RT}}
{{E + (0.94057m + 2.5400)RT}}
$
\int\limits_0^T {T^m } e^{ - E/RT} dT = \frac{{RT^{m + 2} }}
{E}e^{ - E/RT} \frac{{0.99954E + (0.044967m + 0.58058)RT}}
{{E + (0.94057m + 2.5400)RT}}
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| Keywords: | |
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