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Title: A diffusion-limited reaction model for self-propagating Al/Pt multilayers with quench limits

Abstract

A diffusion-limited reaction model was calibrated for Al/Pt multilayers ignited on oxidized silicon, sapphire, and tungsten substrates, as well as for some Al/Pt multilayers ignited as free-standing foils. The model was implemented in a finite element analysis code and used to match experimental burn front velocity data collected from several years of testing at Sandia National Laboratories. Moreover, both the simulations and experiments reveal well-defined quench limits in the total Al + Pt layer (i.e., bilayer) thickness. At these limits, the heat generated from atomic diffusion is insufficient to support a self-propagating wave front on top of the substrates. Quench limits for reactive multilayers are seldom reported and are found to depend on the thermal properties of the individual layers. Here, the diffusion-limited reaction model is generalized to allow for temperature- and composition-dependent material properties, phase change, and anisotropic thermal conductivity. Utilizing this increase in model fidelity, excellent overall agreement is shown between the simulations and experimental results with a single calibrated parameter set. However, the burn front velocities of Al/Pt multilayers ignited on tungsten substrates are over-predicted. Finally, possible sources of error are discussed and a higher activation energy (from 41.9 kJ/mol.at. to 47.5 kJ/mol.at.) is shown to bringmore » the simulations into agreement with the velocity data observed on tungsten substrates. Finally, this higher activation energy suggests an inhibited diffusion mechanism present at lower heating rates.« less

Authors:
ORCiD logo [1];  [1];  [1];  [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1432789
Alternate Identifier(s):
OSTI ID: 1432583
Report Number(s):
SAND-2018-1350J
Journal ID: ISSN 0021-8979; 660566
Grant/Contract Number:
AC04-94AL85000; NA0003525
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 123; Journal Issue: 14; Journal ID: ISSN 0021-8979
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Kittell, David E., Yarrington, Cole D., Hobbs, M. L., Abere, M. J., and Adams, D. P. A diffusion-limited reaction model for self-propagating Al/Pt multilayers with quench limits. United States: N. p., 2018. Web. doi:10.1063/1.5025820.
Kittell, David E., Yarrington, Cole D., Hobbs, M. L., Abere, M. J., & Adams, D. P. A diffusion-limited reaction model for self-propagating Al/Pt multilayers with quench limits. United States. doi:10.1063/1.5025820.
Kittell, David E., Yarrington, Cole D., Hobbs, M. L., Abere, M. J., and Adams, D. P. Sat . "A diffusion-limited reaction model for self-propagating Al/Pt multilayers with quench limits". United States. doi:10.1063/1.5025820.
@article{osti_1432789,
title = {A diffusion-limited reaction model for self-propagating Al/Pt multilayers with quench limits},
author = {Kittell, David E. and Yarrington, Cole D. and Hobbs, M. L. and Abere, M. J. and Adams, D. P.},
abstractNote = {A diffusion-limited reaction model was calibrated for Al/Pt multilayers ignited on oxidized silicon, sapphire, and tungsten substrates, as well as for some Al/Pt multilayers ignited as free-standing foils. The model was implemented in a finite element analysis code and used to match experimental burn front velocity data collected from several years of testing at Sandia National Laboratories. Moreover, both the simulations and experiments reveal well-defined quench limits in the total Al + Pt layer (i.e., bilayer) thickness. At these limits, the heat generated from atomic diffusion is insufficient to support a self-propagating wave front on top of the substrates. Quench limits for reactive multilayers are seldom reported and are found to depend on the thermal properties of the individual layers. Here, the diffusion-limited reaction model is generalized to allow for temperature- and composition-dependent material properties, phase change, and anisotropic thermal conductivity. Utilizing this increase in model fidelity, excellent overall agreement is shown between the simulations and experimental results with a single calibrated parameter set. However, the burn front velocities of Al/Pt multilayers ignited on tungsten substrates are over-predicted. Finally, possible sources of error are discussed and a higher activation energy (from 41.9 kJ/mol.at. to 47.5 kJ/mol.at.) is shown to bring the simulations into agreement with the velocity data observed on tungsten substrates. Finally, this higher activation energy suggests an inhibited diffusion mechanism present at lower heating rates.},
doi = {10.1063/1.5025820},
journal = {Journal of Applied Physics},
number = 14,
volume = 123,
place = {United States},
year = {Sat Apr 14 00:00:00 EDT 2018},
month = {Sat Apr 14 00:00:00 EDT 2018}
}

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