Skip to main content Accessibility help

Modeling Self-Propagating Exothermic Reactions in Multilayer Systems

  • S. Jayaraman (a1), A. B. Mann (a1), O. M. Knio (a2), D. Van Heerden, G. Bao (a2) and T. P. Weihs (a1)...


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.



Hide All
1. Barbee, T.W. and Weihs, T.P., US patent No. 5538795, (1996).
2. Dyer, T.S., Munir, Z.A. and Ruth, V., Scr. Met., 30, 1281, (1994).
3. Ma, E., Thompson, C.V., Clevenger, L.A. and Tu, K.N., Appl. Phys. Lett., 57,1262, (1990).
4. Floro, J.A., J. Vac. Sci. Tech., A4, 631, (1986).
5. Hardt, A.P. and Phung, P.V., Comb. Flame, 21, 77, (1973).
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).
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).
8. Weihs, T.P., Barbee, T.W. and Wall, M.A., MRS Symp. Proc., 382, 21, (1995).
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).
10. Hindmarsh, A.C., A Systemized Collection of ODE Solvers in Scientific Computing, eds. Stepleman, R.S. et al., North Holland, Amsterdam, 55, (1983).
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).

Modeling Self-Propagating Exothermic Reactions in Multilayer Systems

  • S. Jayaraman (a1), A. B. Mann (a1), O. M. Knio (a2), D. Van Heerden, G. Bao (a2) and T. P. Weihs (a1)...


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed