Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A0exp(bT)[1+(T–T0)b]f(α)

Chemical Research in Chinese Universities ›› 2010, Vol. 26 ›› Issue (5): 829-832.

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Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A0exp(bT)[1+(T–T0)b]f(α)

ZHAO Feng-qi1*, HU Rong-zu1,2, ZHANG Hai2,5, GAO Hong-xu1, ZHAO Hong-an3 and MA Hai-xia4

1. Xi’an Modern Chemistry Research Institute, Xi’an 710065, P. R. China;
2. Department of Mathematics/Institute of Data Analysis and Computed Chemistry,
3. College of Communication Science and Engineering,
4. College of Chemical Engineering, Northwest University, Xi’an 710069, P. R. China;
5. Institute of System and Information Science, Xi’an Jiaotong University, Xi’an 710049, P. R. China

Received:2009-08-31 Revised:2009-11-20 Online:2010-09-25 Published:2010-11-26
Contact: ZHAO Feng-qi. E-mail: npecc@163.com
Supported by:
Supported by the National Natural Science Foundation of China (No.20573098).

Abstract

Abstract: Critical temperature(Tb) of thermal explosion for energetic materials is estimated from Semenov’s thermal explosion theory and the non-isothermal kinetic equation dα/dt=A0exp(bT)[1+(T–T0)b]f(α) deduced via reasonable hypotheses, where T0 is the initial point of the deviation from the baseline of DSC curve. The final formula is (Tb–Te0){1+1/[1+( Tb–T00)b]}=1. We can easily obtain the initial temperature(T0i) and onset temperature(Tei) from the non-isothermal DSC curves, the values of T00 and Te0 from the equation T0i or ei=T00 or e0+α1βi+α2βi2+…+αL–2βiL–2, i=1,2,…,L, the value of b from the equation: ln[βi/(Tei–T0i)]=ln[A0/G(α)]+bTei, so as to calculate the value of Tb. The result obtained with this method coincides completely with the value of Tb obtained by Hu-Yang-Liang-Wu method.

Key words: Critical temperature, Thermal explosion, DSC, Energetic material, Non-isothermal

ZHAO Feng-qi1*, HU Rong-zu1,2, ZHANG Hai2,5, GAO Hong-xu1, ZHAO Hong-an3 and MA Hai-xia4. Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A0exp(bT)[1+(T–T0)b]f(α)[J]. Chemical Research in Chinese Universities, 2010, 26(5): 829-832.

References

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Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A0exp(bT)[1+(T–T0)b]f(α)

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