Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-19T11:33:51.916Z Has data issue: false hasContentIssue false
  • English
  • Français

Modeling Self-Propagating Exothermic Reactions in Multilayer Systems

Published online by Cambridge University Press:  10 February 2011

S. Jayaraman ,
A. B. Mann ,
O. M. Knio ,
D. Van Heerden ,
G. Bao  and
T. P. Weihs
S. Jayaraman
Affiliation:
Department of Materials Science and Engineering
A. B. Mann
Affiliation:
Department of Materials Science and Engineering
O. M. Knio
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD.
G. Bao
Affiliation:
Department of Mechanical Engineering, The Johns Hopkins University, 3400 N. Charles Street, Baltimore, MD.
T. P. Weihs
Affiliation:
Department of Materials Science and Engineering
Get access

Abstract

Self-propagating reactions in free-standing multilayer foils provide a unique opportunity to study very rapid, diffusion-based transformations in non-equilibrium material systems. To fully understand the coupling between mass and thermal diffusion controlling these reactions and to optimize the commercial use of reactive foils, we have undertaken analytical and numerical modeling. Our analytical model predicts an increase in the reaction velocities with decreasing bilayer thickness down to a critical bilayer thickness and a reversal in this trend below the critical thickness. Predicting reaction characteristics such as the flame thermal width, the reaction zone width and the effect of variations in material properties with temperature has proven analytically intractable. To overcome these limitations, we have also used numerical methods to determine the composition and temperature profiles ahead of the reaction front for different multilayer periods and premixing. The results are compared with experimental values where possible.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 481: Symposium P – Science and Technology of Semiconductor Surface Preparation , 1997 , 563
Copyright
Copyright © Materials Research Society 1998

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

1. Barbee, T.W. and Weihs, T.P., US patent No. 5538795, (1996).Google Scholar
2. Dyer, T.S., Munir, Z.A. and Ruth, V., Scr. Met., 30, 1281, (1994).Google Scholar
3. Ma, E., Thompson, C.V., Clevenger, L.A. and Tu, K.N., Appl. Phys. Lett., 57,1262, (1990).Google Scholar
4. Floro, J.A., J. Vac. Sci. Tech., A4, 631, (1986).Google Scholar
5. Hardt, A.P. and Phung, P.V., Comb. Flame, 21, 77, (1973).Google Scholar
6. Aldushin, A.P., Martem'yanov, T.M., Merzhanov, A.G., Khaikin, B.I., and Shkandinskii, K.G., Fiz. Goreniya i Vzryva, 8, 159, (1972).Google Scholar
7. Amstrong, R. and Koszykowski, M., Combustion and Plasma Synthesis of High-Temperature Materials, eds. Munir, Z.A. and Holt, J.B., 88, (VCH,1990).Google Scholar
8. Weihs, T.P., Barbee, T.W. and Wall, M.A., MRS Symp. Proc., 382, 21, (1995).Google Scholar
9. Mann, A.B., Gavens, A.J., Reiss, M.E., vanHeerden, D., Bao, G. and Weihs, T.P., J. Appl. Phys., 82(3), 1178, (1997).Google Scholar
10. Hindmarsh, A.C., A Systemized Collection of ODE Solvers in Scientific Computing, eds. Stepleman, R.S. et al., North Holland, Amsterdam, 55, (1983).Google Scholar
11. Weihs, T.P., Gavens, A.J., Reiss, M.E., van Heerden, D., Draffin, A.E. and Stansfield, D., in Chemistry and Physics of anostructures and Related Non-Equilibrium Materials, (eds. Ma, E., Fultz, B., Shull, R., Morral, J. and Nash, P., TMS, Warrendale, PA), 75, (1997).Google Scholar