Cellular flames may exhibit a non-modal transient instability

Proceedings of the Combustion Institute

Volumn 29, Issue 2, 2002, Pages 1537-1542

  Karlin, V ^a  

^a UNIVERSITY OF CENTRAL LANCASHIRE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FLAME RESEARCH; INTEGRODIFFERENTIAL EQUATIONS; MATHEMATICAL OPERATORS; POLES;

COMPUTATIONAL ALGORITHM; COMPUTATIONAL TIME; DARRIEUS-LANDAU INSTABILITY; LINEAR OPERATORS; MODAL INSTABILITIES; NUMERICAL EXPERIMENTS; SIVASHINSKY EQUATIONS; TRANSIENT GROWTH;

COMBUSTION;

EID: 84915821259     PISSN: 15407489     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1540-7489(02)80188-2     Document Type: Article

References (17)

1. Bradley, D., Hicks, R. A., Lawes, M., Sheppard, C. G. W., and Woolley, R., Combust. Flame 115:126-144 (1998).
2. Bradley, D., Philos. Trans. R. Soc. London, Ser. A 357:3567-3581 (1999).
3. Bechtold, J. K., and Matalon, M., Combust. Flame 67:77-90 (1987).
4. Zeldovich, Y. B., Combust. Flame 40:225-234 (1981).
5. Sivashinsky, G. I., Acta Astronaut. 4:1177-1206 (1977).
6. Thual, O., Frisch, U., and Hénon, M., J. de Phys. 46(9):1485-1494 (1985).
7. Rahibe, M., Aubry, N., and Sivashinsky, G. I., Phys. Rev. E 54(5):4958-4972 (1996).
8. Rahibe, M., Aubry, N., and Sivashinsky, G. I., Combust. Theory Model. 2(1):19-41 (1998).
9. Vaynblat, D., and Matalon, M., SIAM J. Appl. Math. 60(2):679-702 (2000).
10. Karlin, V., and Makhviladze, G., in Proceedings of the Third International Seminar on Fire and Explosion Hazards, University of Central Lancashire, Preston, U. K., 2001, pp. 367-378.
11. Joulin, G., J. Phys. France 50:1069-1082 (1989).
12. Cambray, P., Joulain, K., and Joulin, G., Combust. Sci. Technol. 103:265-282 (1994).
13. Olami, Z., Galanti, B., Kupervasser, O., and Procaccia, I., Phys. Rev. E 55(3):2649-2663 (1997).
14. Boberg, L., and Brosa, U., Z. Naturforsch. 43a:697-726 (1988).
15. Trefethen, L. N., SIAM Rev. 39(3):383-406 (1997).
16. Trefethen, L. N., Acta Numerica 8:247-295 (1999).
17. Karlin, V., and Maz'ya, V., SIAM J. Sci. Comput. 18(3):736-752 (1997).