메뉴 건너뛰기




Volumn 182, Issue 1-2, 2003, Pages 86-102

Nonlinear dynamics in a simple model of solid flame microstructure

Author keywords

Bifurcation; Chaos; Combustion wave; Heterogeneous medium; Iterative map; Nonlinear dynamics; Period doubling

Indexed keywords

BIFURCATION (MATHEMATICS); CHAOS THEORY; COMBUSTION; FLUID DYNAMICS; GREEN'S FUNCTION; HEAT LOSSES; HEAT TRANSFER; ITERATIVE METHODS; MATHEMATICAL MODELS;

EID: 1642270539     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00119-2     Document Type: Article
Times cited : (40)

References (14)
  • 1
    • 0035539077 scopus 로고    scopus 로고
    • A model of transverse flame propagation in alternating layers of combustible and inert solid substances
    • Merzhanov A.G., Krishenik P.M., Shkadinskii K.G., A model of transverse flame propagation in alternating layers of combustible and inert solid substances. Dokl. Phys. 46(9):2001;619-623.
    • (2001) Dokl. Phys. , vol.46 , Issue.9 , pp. 619-623
    • Merzhanov, A.G.1    Krishenik, P.M.2    Shkadinskii, K.G.3
  • 2
    • 0002200723 scopus 로고    scopus 로고
    • Form from fire
    • A. Varma, Form from fire, Sci. Am. 268 (2000) 58-61.
    • (2000) Sci. Am. , vol.268 , pp. 58-61
    • Varma, A.1
  • 3
    • 0035200227 scopus 로고    scopus 로고
    • Theoretical analysis of the propagation of a reaction front in a packed bed
    • Gort R., Brouwers J.J.H., Theoretical analysis of the propagation of a reaction front in a packed bed. Combust. Flame. 124:2001;1-13.
    • (2001) Combust. Flame , vol.124 , pp. 1-13
    • Gort, R.1    Brouwers, J.J.H.2
  • 4
    • 0018031317 scopus 로고
    • Propagation of a pulsating reaction front in solid fuel combustion
    • Matkowsky B.J., Sivashinsky G.I., Propagation of a pulsating reaction front in solid fuel combustion. SIAM J. Appl. Math. 35:1978;465.
    • (1978) SIAM J. Appl. Math. , vol.35 , pp. 465
    • Matkowsky, B.J.1    Sivashinsky, G.I.2
  • 5
    • 34250398352 scopus 로고
    • Combustion of mixtures forming condensed reaction-products
    • Aldushin A.P., Khaikin B.I., Combustion of mixtures forming condensed reaction-products. Combust. Explos. Shock Waves. 10(3):1974;273-280.
    • (1974) Combust. Explos. Shock Waves , vol.10 , Issue.3 , pp. 273-280
    • Aldushin, A.P.1    Khaikin, B.I.2
  • 6
    • 0031745351 scopus 로고    scopus 로고
    • Mechanisms of combustion wave propagation in heterogeneous reaction systems
    • Hwang S., Mukasyan A.S., Varma A., Mechanisms of combustion wave propagation in heterogeneous reaction systems. Combust. Flame. 115:1998;354-363.
    • (1998) Combust. Flame , vol.115 , pp. 354-363
    • Hwang, S.1    Mukasyan, A.S.2    Varma, A.3
  • 7
    • 0032530452 scopus 로고    scopus 로고
    • Complex behavior of self-propagating reaction waves in heterogeneous media
    • Varma A., Rogachev A.S., Mukasyan A.S., Hwang S., Complex behavior of self-propagating reaction waves in heterogeneous media. Proc. Natl. Acad. Sci. USA. 95:1998;11053-11058.
    • (1998) Proc. Natl. Acad. Sci. USA , vol.95 , pp. 11053-11058
    • Varma, A.1    Rogachev, A.S.2    Mukasyan, A.S.3    Hwang, S.4
  • 8
    • 0035911608 scopus 로고    scopus 로고
    • Dynamics of self-propagating reaction in heterogeneous media: Experiments and model
    • Varma A., Mukasyan A.S., Hwang S., Dynamics of self-propagating reaction in heterogeneous media: experiments and model. Chem. Eng. Sci. 56:2001;1459-1466.
    • (2001) Chem. Eng. Sci. , vol.56 , pp. 1459-1466
    • Varma, A.1    Mukasyan, A.S.2    Hwang, S.3
  • 9
    • 0036277263 scopus 로고    scopus 로고
    • Nonstationary regimes of transformation of multilayered heterogeneous systems
    • Krishenik P.M., Merzhanov A.G., Shkadinskii K.G., Nonstationary regimes of transformation of multilayered heterogeneous systems. Combust. Explos. Shock Waves. 38(3):2002;313-321.
    • (2002) Combust. Explos. Shock Waves , vol.38 , Issue.3 , pp. 313-321
    • Krishenik, P.M.1    Merzhanov, A.G.2    Shkadinskii, K.G.3
  • 10
    • 0022056606 scopus 로고
    • Macrokinetics of high-temperature titanium interaction with carbon under electrothermal explosion conditions
    • Knyazik V.A., Merzhanov A.G., Solomonov V.B., Shteinberg A.S., Macrokinetics of high-temperature titanium interaction with carbon under electrothermal explosion conditions. Combust. Explos. Shock Waves. 21(3):1985;333-337.
    • (1985) Combust. Explos. Shock Waves , vol.21 , Issue.3 , pp. 333-337
    • Knyazik, V.A.1    Merzhanov, A.G.2    Solomonov, V.B.3    Shteinberg, A.S.4
  • 11
    • 0000040998 scopus 로고
    • Introduction to bifurcation theory
    • Crawford J.D., Introduction to bifurcation theory. Rev. Mod. Phys. 63(4):1991;991-1037.
    • (1991) Rev. Mod. Phys. , vol.63 , Issue.4 , pp. 991-1037
    • Crawford, J.D.1
  • 12
    • 0028483137 scopus 로고
    • A sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities
    • Frankel M.L., Roytburd V., Sivashinsky G.I., A sequence of period doublings and chaotic pulsations in a free boundary problem modeling thermal instabilities. SIAM J. Appl. Math. 54:1994;1101-1112.
    • (1994) SIAM J. Appl. Math. , vol.54 , pp. 1101-1112
    • Frankel, M.L.1    Roytburd, V.2    Sivashinsky, G.I.3
  • 13
    • 1642310051 scopus 로고    scopus 로고
    • Transitions to chaos in condensed phase combustion with reactant melting
    • Raymond C.S., Bayliss A., Matkowsky B.J., Volpert V.A., Transitions to chaos in condensed phase combustion with reactant melting. Int. J. SHS. 10:2001;133-149.
    • (2001) Int. J. SHS , vol.10 , pp. 133-149
    • Raymond, C.S.1    Bayliss, A.2    Matkowsky, B.J.3    Volpert, V.A.4
  • 14
    • 0025413863 scopus 로고
    • Two routes to chaos in condensed phase combustion
    • Bayliss A., Matkowsky B.J., Two routes to chaos in condensed phase combustion. SIAM J. Appl. Math. 50(2):1990;437-459.
    • (1990) SIAM J. Appl. Math. , vol.50 , Issue.2 , pp. 437-459
    • Bayliss, A.1    Matkowsky, B.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.