从DSC曲线数据计算/确定含能材料自催化分解反应动力学参数和热爆炸临界温升速率的方法

为应用热爆炸临界温升速率(dT/dt)_Tb评价含能材料(EMs)的热安全性, 得到计算(dT/dt)_Tb值的基本数据, 用合理的假设, 由Semenov的热爆炸理论和9 个自催化反应速率方程[dα/dt=Aexp(-E/RT)α(1-α) (I), dα/dt=Aexp(-E/RT)(1-α)ⁿ(1+K_catα) (II), dα/dt=Aexp(-E/RT)[α^a-(1-α)ⁿ)] (III), dα/dt=A₁exp(-E_a1/RT)(1-α)+A₂exp(-E_a2/RT)α(1-α) (IV), dα/dt=A₁exp(-E_a1/RT)(1-α)^m+A₂exp(-E_a2/RT)αⁿ(1-α)^p (V), dα/dt=Aexp(-E/RT)(1-α) (VI), dα/dt=Aexp(-E/RT)(1-α)ⁿ (VII), dα/dt=A₁exp(-E_a1/RT)+A₂exp(-E_a2/RT)(1-α) (VII), dα/dt=A₁exp(-E_a1/RT)+A₂exp(-E_a2/RT)α(1-α) (IX)]导出了计算(dT/dt)_Tb值的9 个表达式. 提出了从不同恒速升温速率(β)条件下的差示扫描量热(DSC)曲线数据计算/确定EMs自催化分解反应的动力学参数和自催化分解转向热爆炸时的(dT/dt)_Tb的方法. 由DSC曲线数据的分析得到了用于计算(dT/dt)_Tb值的β→0 时的onset 温度(T_e0),热爆炸临界温度(T_b)和相应于T_b时的转化率(α_b). 分别用线性最小二乘法和信赖域方法得到方程(I)和(VI)及方程(II)-(V)和方程(VII)-(IX)中的自催化分解反应动力学参数. 用上述基础数据得到了EMs的(dT/dt)_Tb值. 结果表明: (1) 在非等温DSC条件下硝化棉(NC, 13.54% N)分解反应可用表观经验级数自催化反应速率方程dα/dt=10^15.82exp(-170020/RT)(1-α)^1.11+10^15.82exp(-157140/RT)α^1.51(1-α)^2.51描述; (2) NC (13.54% N)自催化分解转向热爆炸时的(dT/dt)_Tb值为0.103 K·s^-1.     

Estimation of Critical Temperature of Thermal Explosion for Nitrosubstituted Azetidines Using Non-isothermal DSC

Based on reasonable hypothesis, two general expressions and their six derived formulae for estimating the critical temperature (T_b) of thermal explosion for energetic materials (EM) were derived from the Semenov's thermal explosion theory and eight non‐isothermal kinetic equations. We can easily obtain the values of the initial temperature (T_0i) at which DSC curve deviates from the baseline of the non‐isothermal DSC curve of EM, the onset temperature (T_ei), the exothermic decomposition reaction kinetic parameters and the values of T₀₀ and T_e0 from the equation T_{0i or ei}=T_{00 or e0}+a₁β_i+a₂β_i²+···+a_L?2β_i^L?2, i=1, 2, ;···, L and then calculate the values of T_b by the six derived formulae. The T_b values for seven nitrosubstituted azetidines, 3,3‐dinitroazetidinium nitrate ( 1 ), 3,3‐dinitroazetidinium picrate ( 2 ), 3,3‐dinitroazetidinium‐3‐nitro‐1,2,4‐triazol‐5‐onate ( 3 ), 1,3‐bis(3′,3′‐dinitroazetidine group)‐2,2‐dinitropropane ( 4 ), 1‐(2′,2′,2′‐trinitroethyl)‐3,3‐dinitroazetidine ( 5 ), 3,3‐dinitroazetidinium perchlorate ( 6 ) and 1‐(3′,3′‐dinitroazetidineyl)‐2,2‐dinitropropane ( 7 ), obtained with the six derived formulae are agreeable to each other, whose differences are within 1.5%. The results indicate that the heat‐resistance stability of the seven nitrosubstituted azetidines decreases in the order 6 > 7 > 5 > 4 > 3 > 2 > 1 .     

Estimation of the Critical Temperature of Thermal Explosion for the Highly Nitrated Nitrocellulose Using Non-isothermal DSC

Two methods for estimating the critical temperature (T_b) of thermal explosion for the highly nitrated nitrocellulose (HNNC) are derived from the Semenov's thermal explosion theory and two non-isothermal kinetic equations, d/dt=Af()e^–E/RT and d/dt=Af()[1+E/(RT)(1–T_o/T)]e^–E/RT, using reasonable hypotheses. We can easily obtain the values of the thermal decomposition activation energy (E), the onset temperature (T_e) and the initial temperature (T_o) at which DSC curve deviates from the baseline of the non-isothermal DSC curve of HNNC, and then calculate the critical temperature (T_b) of thermal explosion by the two derived formulae. The results obtained with the two methods for HNNC are in agreement to each other.This revised version was published online in November 2005 with corrections to the Cover Date.     

Estimation of Critical Temperature of Thermal Explosion for Energetic Materials Based on Non-isothermal Kinetic Equation dα/dt =A_0 exp(bT)[1+(T–T_0 )b]f(α)

Critical temperature(T b ) of thermal explosion for energetic materials is estimated from Semenov’s thermal explosion theory and the non-isothermal kinetic equation dα/dt=A 0 exp(bT)[1+(T–T 0 )b]f(α) deduced via reasonable hypotheses, where T 0 is the initial point of the deviation from the baseline of DSC curve. The final formula is (T b –T e0 ){1+1/[1+( T b –T 00 )b]}=1. We can easily obtain the initial temperature(T 0i ) and onset temperature(T ei ) from the non-isothermal DSC curves, the values of T 00 and T e0 from the equation T 0i or ei =T 00 or e0 +α 1 β i +α 2 β i2 +…+α L–2 β iL –2 , i=1,2,…,L, the value of b from the equation: ln[β i /(T ei –T 0i )]=ln[A 0 /G(α)]+bT ei , so as to calculate the value of T b . The result obtained with this method coincides completely with the value of T b obtained by Hu-Yang-Liang-Wu method.     

N-脒基脲二硝酰胺放热分解反应的动力学行为

用DSC和微热量仪研究了N-脒基脲二硝酰胺(GUDN)的放热分解反应动力学行为和比热容, 计算得到程序升温下GUDN主放热分解反应的动力学参数(活化能Ea和指前因子A)、自加速分解温度(TSADT)、绝热条件下达到最大分解反应速率的时间(tTMRad)和至爆时间(tTIad). 结果表明, 在非等温DSC条件下, GUDN的热分解过程可用经验级数自催化动力学方程dα/dt=10^18.49exp(-195500/RT)(1-α)^0.81+10^18.00exp(-177000/RT)α^1.29(1-α)^0.71描述. 热分解转热爆炸的临界温升速率为0.1236 K·h-1. 所得的TSADT、tTMRad和tTIad值分别为473.95 K、2.24 s和3.51 s.     

Estimation of Critical Temperature of Thermal Explosion for Trinitromethyl Explosives by Non-isothermal DSC

Two general expressions and their six derived formulae for estimating the critical temperature(Tb) of thermal explosion for energetic materials(EMs) were derived from the Semenov’s thermal explosion theory and eight non-isothermal kinetic equations via reasonable hypothesis. We can easily obtain the values of the initial temperature(T0i) at which DSC curve deviates from the baseline of the non-isothermal DSC curve of EMs, the onset temperature(Tei), the exothermic decomposition reaction kinetic parameters and the values of T00 and Te0 from the equation T0i or ei=T00 or e0+α1βi+α2βi2+···+αL–2βiL–2, i=1, 2, ···, L and then calculate the values of Tb by means of the six derived formulae. The results obtained with the six derived calculating methods for six trinitromethyl explosives: bis(2,2,2- trinitroethyl-N-nitro) ethylene diamine(BTNEDA), 2,2,2-trinitroethyl-4,4,4-trinitrobutyrate(TNETB), bis(2,2,2- trinitroethyl) formal(BNTF), bis(2,2,2-trinitroethyl-nitramine)(BTNNA), 2,2,2-trinitroethyl-2,2,2-trinitroethyl-N- nitroamino acetate(TNTNNA) and tetrakis [2,2,2-trinitroethyl] orthoester(TTNOE) agree well with each other.     

A Study of Estimating the Safe Storage Life, Self-accelerating Decomposition Temperature and Critical Temperature of Thermal Explosion of Double-base Propellant Using Isothermal and Non-isothermal Decomposition Behaviours

The pressure exponent (γ) equation of the burning rate (u) of the title propellant is u=apγ=4.350p0.192 at 4-10 MPa, having very good combustion characteristics. It has the potential for possible use as solid rocket propellant from the point of view of …     

Kinetics of the First Order Autocatalytic Decomposition Reaction of Nitrocellulose （13.86% N）

The kinetics of the first order autocatalytic decomposition reaction of nitrocellulose (NC, 13.86% N) was studied by using DSC. The results show that the DSC curve for the initial 50% of conversion degree of NC can be de scribed by the first order autocatalytic equation dy/dt =-10^16.3 exp (-181860/RT)y-10^16.7ex(-173050/RT)y(1-y) and that for the latter 50% conversion degree of NC described by the reaction equations dy/dt=-10^16.4exp(-154820/RT)y (n=1) and dy/dt=-10^16.9 exp(-155270/RT) y^2.80(n≠1).     

DSC Research on Critical Temperature in Thermal Explosion Synthesis Reaction Ti+3Al→TiAl3

The critical furnace chamber temperature (T′_ign) of the thermal explosion synthesis reaction Ti+3Al→TiAl₃ is studied by isothermal and non-isothermal DSC. The reaction product is characterized by using the X-ray powder diffraction. The value of T′_ign is between 740 and 745°C obtained from the isothermal DSC observations, and 729°C obtained from non-isothermal DSC curves. It shows that these two values have a good consistency. With the help of the apparent activation energy of the reaction obtained by Friedman method and the value of T′_ign0 by the multiple linear regression of the T′_igns at different heating rates (β), the critical temperature (T _b) of thermal explosion for Ti–75at%Al mixture is estimated to be 785°C. This revised version was published online in August 2006 with corrections to the Cover Date.     

基于差示扫描量热技术的生物质热解两步连续反应模型研究

采用差示扫描量热分析仪对我国的一种生物质试样在空气气氛中进行了实验, 发现试样从常温到923 K高温的低速升温过程中, 经历了两步明显的放热过程. 对放热机理的分析表明, 第一步主要是由半纤维素和纤维素的有氧热解过程控制, 第二步放热过程则受木质素热解和炭的氧化反应的共同作用. 采用等转化率方法和优化计算方法, 对热解过程的动力学模型进行了研究, 结果表明, 两步连续反应机理可用于描述生物质在空气气氛中热解的放热动力学.     

用非等温DSC基于Harcourt-Esson方程估算含能材料热爆炸临界温度的一种简单方法

用合理假设,由Semenov热爆炸理论和基于Harcourt-Esson速率表达式非等温动力学方程 ,推导了估算含能材料热爆炸临界温度的一种简单方法。该计算式为 ,比较简单。从非等温DSC曲线上onset温度（ ）通过表达式 可得到 ,由方程 可求得 值,随后算出 。该方法计算结果与Zhang-Hu-Xie-Li方法结果相一致。     

Dependence of Thermal Decomposition Rate Constant on Temperature of Reaction

On the basis of results of kinetic investigates of many compounds general temperature dependence of Gibbs free energy of activated complexes created in thermal decomposition processes and the reaction rate constant were calculated. This revised version was published online in July 2006 with corrections to the Cover Date.     

用非等温DSC估算3,4-双(4’-硝基呋咱-3’-基)-2-氧化呋咱(BNFOF)放热自催化分解反应的热爆炸临界温升速率和动力学参数

A method of estimating the kinetic parameters and the critical rate of temperature rise in the thermal explosion for the autocatalytic decomposition of 3,4-bis（4＇-nitrofurazan-3＇-yl）-2-oxofurazan （BNFOF） with non-isothermal differential scanning calorimetry （DSC） was presented. The rate equation for the decomposition of BNFOF was cstablished, and information was obtained on the rate of temperature increase in BNFOF when the empiric-order autocatalytic decomposition was converted into thermal explosion.     

用DSC测量葡萄糖溶液部分玻璃化转变温度的新方法

用差示扫描量热仪, 采用经过退火处理的连续扫描法, 以不同浓度(20%、45%)的葡萄糖溶液为研究对象, 研究了退火温度对Tgf(部分结晶的玻璃化转变温度)的影响, 给出了确定Tg′(部分玻璃化转变温度)的新方法. 研究发现, 不同退火温度下的Tgf不同. 在−50 ℃以上退火, Tgf随着退火温度的增大而减小; 在−50 ℃以下退火, Tgf随着退火温度的增大而增大, 都有很好的线性关系. 不同浓度的溶液具有相似的规律. 提出从Tgf确定Tg′的方法: Tgf在−50 ℃上下随退火温度变化线的交点所对应的部分结晶玻璃化转变温度即为Tg′. 使用该方法测得葡萄糖的Tg′为−55 ℃.     

Thermal explosion and runaway reaction simulation of lauroyl peroxide by DSC tests

Lauroyl peroxide (LPO) is a typical organic peroxide that has caused many thermal runaway reactions and explosions. Differential scanning calorimetry (DSC) was employed to determine the fundamental thermokinetic parameters that involved exothermic onset temperature (T₀), heat of decomposition (ΔH_d), and other safety parameters for loss prevention of runaway reactions and thermal explosions. Frequency factor (A) and activation energy (E_a) were calculated by Kissinger model, Ozawa equation, and thermal safety software (TSS) series via DSC experimental data. Liquid thermal explosion (LTE) by TSS was employed to simulate the thermal explosion development for various types of storage tank. In view of loss prevention, calorimetric application and model analysis to integrate thermal hazard development were necessary and useful for inherently safer design.