TY - JOUR
T1 - Chaotic dynamics in solid fuel combustion
AU - Brailovsky, I.
AU - Sivashinsky, G.
N1 - Funding Information:
This researchw as supportedi n part by the US Department of Energy under Grant No. DE-FG2-88ER1382, by the National Science Foundation under Grant Nos. CTS-8910903 and 9213414,a nd by the Israel Ministry of Science and Technology. The authors would like to thank Professor M. Frankel for a stimulatingd iscussion.
PY - 1993/5/15
Y1 - 1993/5/15
N2 - The free-boundary problem describing the oscillating dynamics of condensed fuel gasless combustion is studied numerically. In qualitative agreement with recent numerical results established for the model employing the distributed reaction rate, it is shown that one-dimensional flame propagation may undergo highly irregular relaxational oscillations provided the bifurcation parameter (Zeldovich number) is high enough. Increasing the bifurcation parameter leads to an enhancement of the level of fluctuations and a reduction of the average flame speed.
AB - The free-boundary problem describing the oscillating dynamics of condensed fuel gasless combustion is studied numerically. In qualitative agreement with recent numerical results established for the model employing the distributed reaction rate, it is shown that one-dimensional flame propagation may undergo highly irregular relaxational oscillations provided the bifurcation parameter (Zeldovich number) is high enough. Increasing the bifurcation parameter leads to an enhancement of the level of fluctuations and a reduction of the average flame speed.
UR - http://www.scopus.com/inward/record.url?scp=0011370239&partnerID=8YFLogxK
U2 - 10.1016/0167-2789(93)90014-R
DO - 10.1016/0167-2789(93)90014-R
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AN - SCOPUS:0011370239
SN - 0167-2789
VL - 65
SP - 191
EP - 198
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 1-2
ER -