Thermodynamic interdiffusion coefficient in binary systems with intermediate phases

Garg, S.P.; Kale, G.B.; Patil, R.V.; Kundu, Tanay

doi:10.1016/s0966-9795(98)00139-3

Cited by 40 publications

(21 citation statements)

References 5 publications

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“…When the intermediate such as Ni 2 Al 3 appears, D increases to the value of 1 × 10 −14 m 2 s −1 at 600 • C [32]. Because the interdiffusion coefficient varies in different intermediates, here a mean value of 1 × 10 −15 m 2 s −1 was used.…”

Section: Effect Of Sintering Temperature On the Microstructure And Swmentioning

confidence: 99%

Formation of porous Ni–Al intermetallics through pressureless reaction synthesis

Dong

Jiang

et al. 2009

Journal of Alloys and Compounds

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Section: Effect Of Sintering Temperature On the Microstructure And Swmentioning

confidence: 99%

Formation of porous Ni–Al intermetallics through pressureless reaction synthesis

Dong

Jiang

et al. 2009

Journal of Alloys and Compounds

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“…For the interdiffusivities, we used the reported value for Ni 2 Al 3 35 and NiAl at a composition of Ni(0.47)-Al(0.53), the overall composition in sputtered foils without vanadium (V). 36 Values of 0.4 and 2 for c were used for Ni 2 Al 3 and NiAl, respectively.…”

Section: Numerical Modelmentioning

confidence: 99%

“…Enthalpies (J/mole), molar volumes, prediffusion factor, and activation energy (kJ/mole) of interdiffusivity of the phases considered 9,35,36,[38][39][40]. …”

mentioning

confidence: 99%

Simulations of nanoscale Ni/Al multilayer foils with intermediate Ni2Al3 growth

Gunduz

Onel

Doumanidis

et al. 2015

Journal of Applied Physics

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Nanoscale multilayers of binary metallic systems, such as nickel/aluminum, exhibit self-propagating exothermic reactions due to the high formation enthalpy of the intermetallic compounds. Most of the previous modeling approaches on the reactions of this system rely on the use of mass diffusion with a phenomenological derived diffusion coefficient representing single-phase (NiAl) growth, coupled with heat transport. We show that the reaction kinetics, temperatures, and thermal front width can be reproduced more satisfactorily with the sequential growth of Ni2Al3 followed by NiAl, utilizing independently obtained interdiffusivities. The computational domain was meshed with a dynamically generated bi-modal grid consisting of fine and coarse zones corresponding to rapid and slower reacting regions to improve computational efficiency. The PDEPE function in MATLAB was used as a basis for an alternating direction scheme. A modified parabolic growth law was employed to model intermetallic growth in the thickness direction. A multiphase enthalpy function was formulated to solve for temperatures after discrete phase growth and transformations at each time step. The results show that the Ni2Al3 formation yields a preheating zone to facilitate the slower growth of NiAl. At bilayer thicknesses lower than 12 nm, the intermixing layer induces oscillating thermal fronts, sharply reducing the average velocities.

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“…For the multicomponent system, if temperature and pressure are assumed to be constant, according to the Gibbs-Duhem equation [30], Eq. (8) is rewritten as…”

Section: Modeling Of Diffusivitymentioning

confidence: 99%