Modeling of the self-propagating reactions of nickel and aluminum multilayered foils

In this study, we performed simulations of self-propagating reactions of nanoscale nickel-aluminum multilayers using numerical methods. The model employs two-dimensional heat transfer equations coupled with heat generation terms from, (1) 1D parabolic growth of intermetallic phases Ni2Al3 and NiAl in the thickness direction and (2) phase transformations such as melting and peritectic reactions. The model uses temperature dependent physical and chemical data, such as interdiffusion coefficients, specific heat capacities, and enthalpy of reactions obtained from previous independent work. The equations are discretized using a lagged Crank–Nicolson method. The results show that initially, the reaction front velocity is determined by the rapid growth of Ni2Al3 and the front temperature is limited by the peritectic reaction at ∼1406 K. After the front completely traverses the foil and the temperature reaches the peritectic point, the reaction slows down and the temperature rises by the growth of NiAl which is t...

[1]  C. Doumanidis,et al.  Investigations on the self propagating reactions of nickel and aluminum multilayered foils , 2008 .

[2]  R. Armstrong,et al.  Theoretical models for the combustion of alloyable materials , 1992, Metallurgical and Materials Transactions A.

[3]  J. Li,et al.  Combustion reaction in multilayered nickel and aluminum foils , 1997 .

[4]  Omar M. Knio,et al.  Numerical study of the effect of heat losses on self-propagating reactions in multilayer foils , 2001 .

[5]  Mitra L Taheri,et al.  Imaging of Transient Structures Using Nanosecond in Situ TEM , 2008, Science.

[6]  Zuhair A. Munir,et al.  The combustion synthesis of multilayer NiAl systems , 1994 .

[7]  A. J. Gavens,et al.  Metastable Phase Formation and Microstructural Evolution During Self-Propagating Reactions in Ai/Ni and Ai/Monel Multilayers , 1997 .

[8]  Omar M. Knio,et al.  Reactive nanostructured foil used as a heat source for joining titanium , 2004 .

[9]  M. A. Andreev,et al.  Conditions for combustion synthesis in nanosized Ni/Al films on a substrate , 2007 .

[10]  J. Li,et al.  Reaction mechanism of combustion synthesis of NiAl , 2002 .

[11]  C. Wagner,et al.  THE EVALUATION OF DATA OBTAINED WITH DIFFUSION COUPLES OF BINARY SINGLE- PHASE AND MULTIPHASE SYSTEMS. , 1969 .

[12]  Omar M. Knio,et al.  Numerical predictions of oscillatory combustion in reactive multilayers , 1999 .

[13]  Omar M. Knio,et al.  Effect of reactant and product melting on self-propagating reactions in multilayer foils , 2002 .

[14]  Timothy P. Weihs,et al.  Joining bulk metallic glass using reactive multilayer foils , 2003 .

[15]  H. P. Li,et al.  Numerical analysis for micropyretic synthesis of NiAl intermetallic compound , 1995 .

[16]  K. Morsi,et al.  Review: reaction synthesis processing of Ni–Al intermetallic materials , 2001 .

[17]  S. P. Garg,et al.  Thermodynamic interdiffusion coefficient in binary systems with intermediate phases , 1999 .

[18]  J. Li,et al.  Adiabatic temperature of combustion synthesis of Al–Ni systems , 2003 .

[19]  J. Hatch,et al.  Aluminum: Properties and Physical Metallurgy , 1984 .

[20]  Omar M. Knio,et al.  Joining of stainless-steel specimens with nanostructured Al/Ni foils , 2004 .

[21]  P. Nash,et al.  The enthalpy of formation of NiAl , 2005 .

[22]  T. P. Weihs,et al.  Room-temperature soldering with nanostructured foils , 2003 .

[23]  Timothy P. Weihs,et al.  Effect of intermixing on self-propagating exothermic reactions in Al/Ni nanolaminate foils , 2000 .

[24]  Lucas J. Koerner,et al.  Phase transformations during rapid heating of Al/Ni multilayer foils , 2008 .

[25]  Timothy P. Weihs,et al.  Microstructural study of an oscillatory formation reaction in nanostructured reactive multilayer foils , 2005 .

[26]  G. F. Hancock,et al.  Diffusion in the intermetallic compound NiAl , 1971 .

[27]  A. J. Gavens,et al.  Al/Ni formation reactions: characterization of the metastable Al9Ni2 phase and analysis of its formation , 2003 .

[28]  Timothy P. Weihs,et al.  Modeling and characterizing the propagation velocity of exothermic reactions in multilayer foils , 1997 .

[29]  B. Khina,et al.  Limits of applicability of the “diffusion-controlled product growth” kinetic approach to modeling SHS , 2005 .

[30]  K. Barmak,et al.  THE EARLY STAGES OF SOLID-STATE REACTIONS IN NI/AL MULTILAYER FILMS , 1996 .

[31]  Y. Iijima,et al.  Single-phase interdiffusion in the B2 type intermetallic compounds NiAl, CoAl and FeAl , 2002 .