Maleke ashtar University of Technology, Esfahan, Iran (Received: 10/5/2015, Accepted: 1/26/2015)

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1 ج ه ع ی - و ی " واد RاRژی" سال یازد م ماره ١ ماره ی ٢٩ هار ٩۵ :ص ١۶-١١ ( 9/11/ : 9/7 /13 : ) (DTA).. HMX %95 %5. OFW. 33/±/ 1/1±5/ =0/1-0/9. [-ln(1-a)] 1/3 A3 13/5-15/ log A -1 3(1-a)[-ln(1-a)] /3.. : Kinetic Study on Triplet of Thermal Decomposition Reaction of Ocfol Explosive by Non-Isothermal Differential Thermal Analysis Method H. R. Pouretedal, S. Damiri, H. Sinapour, A. Malekzadeh 1 Maleke ashtar University of Technology, Esfahan, Iran (Received: 10/5/015, Accepted: 1//015) Abstract The activation energy, Arrhenius constant and model of solid state reaction as kinetic triplet can be obtained by the study of thermal decomposition kinetic in a solid state reaction. In the present work, the non-isothermal Differential Thermal Analysis (DTA) was used to study of kinetic triplet of thermal decomposition of Ocfol explosive with composition of 5% wax and 95% HMX explosive. The DTA thermograms of Ocfol were investigated in the heating rates of,, and C/min in an Argon atmosphere. The model-free methods of Kissinger-Akahira-Sunose () and Ozawa-Flynn-Wall (OFW) were used for calculation of activation energy. The average of activation energy was obtained 1.1±5. and 33.±. by and OFW methods respectively in the range of conversion fraction () of The kinetic triplet of activation energy, E a, Arrhenius constant (A) and the reaction model (functions of f() and g()) were also investigated using model-dependent methods. The obtained results were showed the A3 model with functions integral of [- ln(1-a)] 1/3 and differential of 3(1-a)[-ln(1-a)] /3, activation energy of -1 and loga of /s for thermal decomposition of Ocfol explosive. Keywords: Activation Energy, Differential Thermal Analysis, Kinetic Triplet, Ocfol Explosive. * Corresponding Author HR_POURETEDAL@mut-es.ac.ir "Journal of Energetic Materials" Volume 11, No.1, Serial No.9, Spring 01

2 (1). (E a ) (A) G(). A E a..[ 5].[7] HMX. (III) ( ) []. DSC HMX. FeCl 3.H O FeCl.H O HMX HMX [9]. DSC CP HMX % Al Cu,Ni,KClO 3.[ ] HMX HMX STA503 (DTA). - HMX. MIL-H- BAHR ( %95) A MIL-W-0553D ( %5) 5B -) HMX %95-1. %5 ( (T b ).[1] 1.[] TGA DTA, DSC 3.[3] [] (ICTAC). (1) : A(s) B(s) + C(g) ( 1) ICTAC : (1) = ktf = ( 1 ) k(t) : = exp ( ) ( ) (1).. G() (). 1- Safe Storage Lifetime - Differential Scanning Calorimetry 3- Differential Thermal Analysis - Thermal Gravimetric Analysis 5- International Confederation for Thermal Analysis and Calorimetry (ICTAC)

3 T o ( o C) 33/0 3/ 51/9 53/ T m ( o C) 57/ 59/ 0/ /7 () T f ( o C) 0/7 / 7/7 75/ ( o C/min) (ICTAC). (1) β A R ln i a, = ln( ) T, i Ea g( ) RT,, i E E.[1] (1) R β i T,i T (=H t /H o ) 3 ). H t (T f T o DTA DTA ). ( H o β i E a "". = 0/1-0/9 ().[15] = 0/1-0/9 1/T ln (β/t ) T o 0/9.. (3) (). 1/±5/ HMX. HMX.[131] OFW f().[1]. 10/0. -3 (1) DTA (T m =1-19 ). (β) -9.[11] (δ) HMX. (T m =5- ). HMX HMX A 1 HMX. T m. %7 HMX. A T m HMX RDX 1.[13 1] HMX. 9/ µv s/mg 3/9 (T f ) (T m ) (T o ) DTA Intensity (1) o C/min o C/min o C/min o C/min Temperature ( o C) DTA -1. o C/min - Kissinger-Akahira-Sunose 3- Total Heat Effect - Isoconversional 1- Royal Demolition Explosive

4 DTA ( 33/±/ )..[17-19] (, loga E a () ) (G(), (3) ). ( ) R ( ) Q. ln = ln T0 a ln / a T0 = ln a + 1 dh/dt d/dt=(1/h o β)(dh/dt) (3) () 3 T H t H 0 t T 0 (=H t /H 0 ) t (K).[0] R DTA. () ) ( ) 3(1-a)[-ln(1-a)] /3 [-ln(1-a)] 1/3 P R ( loga E a.. 13/5-15/ 1/s A3 G() 1.[1] (). f() exp f() th.[] (5) RSS = ( f ( ) th f ( ) exp) = min. 0/157 0/131 1/3 A3 (5) 0/5. () 1/T ln(β). β A. ( E a /R) R T ln( β ) ln(β/t) Ea, i A f ( ) da / dt = ln( ) E RT E a /T (K-1). = 0/1-0/9 1/T ln (β/t ) =0.9 =0. =0.7 =0. =0.5 =0. =0.3 = Conversion fraction, -3. OFW DTA =0.1 OFW () %90 %10 OFW OFW. (3) OFW 1- Avrami Erofeev

5 DTA OFW. = 0/1-0/9 (E a, ). 33/±/ 3(1-a)[-ln(1-a)] /3 [-ln(1-a)] 1/3 A3 1/±5/ -. DTA (T b ). / - R 0/935 0/9930 0/99 0/9991 0/9770 0/97 0/97 0/ P 0/03 0/015 0/07 0/01 0/01 0/01 0/010 0/01 loga (s -1 ) 15/1 13/ 15/ 15/ 15/1 13/9 13/5 15/ E a (kj mol -1 ) 35/1 /1 3/1 5/1 0/3 3/ /5 1/5 C/min (G()) [-ln(1-)] 1/3 () 3(1-) [-ln(1-)] /3. ( o C/min) C/min [1] Bulusu, S.; Behrens R. A Review of the Thermal Decomposition Pathways in RDX, HMX and Other Closely Cyclic Nitramines ; Defence Sci. J. 199,, " [] 1. f()theoritical C/min " f () 0. C/min [3] Yan, Q. L.; Zeman, S.; Zhao, F. Q.; Elbeih, A. Noniso-Thermal Analysis of C Bonded Explosives Containing Different Cyclic Nitramines ; Thermochim. Acta 013, 55, [] Vyazovkin, S.; Burnham, A. K.; Criado, J. M.; Pérez-Maqueda, L. A.; Popescu, C.; Sbirrazzuoli, N. ICTAC Kinetics Committee Recommendations for Performing Kinetic Computations on Thermal Analysis Data ; Thermochim. Acta 011, 50, [5] Sinditskii, V. P.; Egorshev, V. Y. Combustion Mechanism and Kinetics of Thermal Decomposition of Ammonium Chlorate and Nitrite ; Cent. Eur. J. Energ. Mater. 010, 7, 1-7. [] Singh, G.; Felix, S. P.; Soni, P. Studies on Energetic Compounds Part 31: Thermolysis and Kinetics of RDX and Some of Its Plastic Bonded Explosives ; Thermochim. Acta 005,, [7] Yan, Q. L.; Zeman, S.; Elbeih, A. Recent Advances in Thermal Analysis and Stability Evaluation of Insensitive Plastic Bonded Explosives (PBXs) ; Thermochim. Acta. 01, 537, 1-1. [] Peng, D. J.; Chang, C. M.; Chiu, M. Thermal Reactive Hazards of HMX with Contaminants ; J. Hazard. Mater. 00, 11, [9] Burnham, A. K.; Weese, R. K.; Andrzejewski, W. J. Kinetics of HMX and CP Decomposition and Their Extrapolation for Lifetime Assessment ; Lawrence Livermore National Laboratory UCRL- TR-011, 00. [10] Liao, L. Q.; Yan, Q. L.; Zheng, Y.; Song, Z. W.; Li, J. Q.; Liu, P. Thermal Decomposition Mechanism of Particulate Core-Shell KClO 3 HMX Composite Energetic Material ; Indian J. Eng. Mater. Sci. 011, 1, [11] Li, S.; Jiang, Z.; Yu, S. Thermal Decomposition of HMX Influenced by Nano-Metal Powders in High Energy Fuel ; Fuel Chemistry Division Preprints 00, 7, [1] Lee, J. H.; Shu, C. K.; Chang, C. L. A Study on the Decomposition Behaviors of PETN, RDX, HNS and HMX ; Thermochim. Acta 00, , = 0/1-0/9 1/T ln (β/t ) -. (T b ) () β 0 (T p0 ) d c b β i T pi. 5/9 T p0.[3] (T b ) E a E 0.((7) ) 537/3. = + + +, = 1 E E = () (7)

6 [1] Málek, J. The Kinetic Analysis of Non-Isothermal Data ; Thermochim. Acta 199, 00, [19] Pouretedal, H. R.; Damiri, S.; Forati Ghaemi, E. Non-Isothermal Studies on the Thermal Decomposition of C Explosive using the TG/DTA Technique ; Cent. Eur. J. Energ. Mater. 01, 11, 5-9. [0] Khawam, A.; Flanagan, D. R. Solid-State Kinetic Models: Basics and Mathematical Fundamentals ; J. Phys. Chem. B. 00, 110, [1] Opfermann, J. Kinetic Analysis Using Multivariate Non-Linear Regression I. Basic Concepts ; J. Therm. Anal. Calorim. 000, 0, 1-5. [] Pouretedal, H. R.; Ravanbod, M. Kinetic Study of Ignition of Mg/NaNO 3 Pyrotechnic Using Non-Isothermal TG/DSC Technique ; J. Therm. Anal. Calorim. 015, 119, 1. [3] Zhao, F. Q.; Gao, H. X.; Hu, R. Z.; Lu, G. E.; Jiang, J. Y. 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 Behaviors ; Chin. Chem. Lett. 00, 17, [13] Yoo, C. S.; Cynn, H. Equation of State, Phase Transition, Decomposition of β-hmx (Octahydro-1,3,5,7-Tetranitro-1,3,5,7- Tetrazocine) at High Pressures ; J. Chem. Phys. 1999, 111, [1] Yan, Q. L.; Zeman, S.; Elbeih, A.; Song, Z. W.; Málek, J. The Effect of Crystal Structure on the Thermal Reactivity of CL-0 and Its C Bonded Explosives (I): Thermodynamic Properties and Decomposition Kinetics ; J. Therm. Anal. Calorim. 013, 11, 3-3. [15] Yan, Q. L.; Zeman, S.; Elbeih, A. Thermal Behavior and Decomposition Kinetics of Viton A Bonded Explosives Containing Attractive Cyclic Nitramines ; Thermochim. Acta 013, 5, 5. [1] Chen, G.; Lee, C.; Kuo, Y. L.; Yen, Y. W. A DSC Study on the Kinetics of Disproportionation Reaction of (hfac) CuI (COD) ; Thermochim. Acta 007, 5, [17] Sbirrazzuoli, N.; Vincent, L.; Mija, A.; Guigo, N. Integral, Differential and Advanced Isoconversional Methods Complex Mechanisms and Isothermal Predicted Conversion Time Curves ; Chemom. Intell. Lab. Syst. 009, 9, 19.

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