메뉴 건너뛰기




Volumn 370, Issue 1960, 2012, Pages 597-624

Analytical studies of the dynamics of gaseous detonations

Author keywords

Bifurcation analysis; Gaseous detonations; Nonlinear dynamics

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMICS; QUENCHING;

EID: 84856530701     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0345     Document Type: Article
Times cited : (37)

References (48)
  • 2
    • 0026926792 scopus 로고
    • Theoretical and numerical structure for unstable twodimensional detonation
    • doi:10.1016/0010-2180(92)90084-3
    • Bourlioux, A. & Majda, A. J. 1992 Theoretical and numerical structure for unstable twodimensional detonation. Combust. Flame 90, 211-229. (doi:10.1016/0010-2180(92)90084-3)
    • (1992) Combust. Flame , vol.90 , pp. 211-229
    • Bourlioux, A.1    Majda, A.J.2
  • 3
    • 0032136260 scopus 로고    scopus 로고
    • Cellular detonation stability. Part 1. A normal-mode linear analysis
    • Short, M. & Stewart, D. S. 1998 Cellular detonation stability. Part 1. A normal-mode linear analysis. J. Fluid Mech. 368, 229-262. (doi:10.1017/S0022112098001682) (Pubitemid 128488671)
    • (1998) Journal of Fluid Mechanics , vol.368 , pp. 229-262
    • Short, M.1    Stewart, D.S.2
  • 4
    • 36849125822 scopus 로고
    • Stability of steady-state equilibrium detonations
    • doi:10.1063/1.1706664
    • Erpenbeck, J. J. 1962 Stability of steady-state equilibrium detonations. Phys. Fluids 5, 604-614. (doi:10.1063/1.1706664)
    • (1962) Phys. Fluids , vol.5 , pp. 604-614
    • Erpenbeck, J.J.1
  • 5
    • 0000127147 scopus 로고
    • Detonation stability for disturbances of small transverse wavelength
    • doi:10.1063/1.1761844
    • Erpenbeck, J. J. 1966 Detonation stability for disturbances of small transverse wavelength. Phys. Fluids 9, 1293-1306. (doi:10.1063/1.1761844)
    • (1966) Phys. Fluids , vol.9 , pp. 1293-1306
    • Erpenbeck, J.J.1
  • 6
    • 35748973264 scopus 로고    scopus 로고
    • Initial-value problem for small disturbances in an idealized one-dimensional detonation
    • DOI 10.1063/1.2793156
    • Tumin, A. 2007 Initial-value problem for small disturbances in an idealized one-dimensional detonation. Phys. Fluids 19, 106105. (doi:10.1063/1.2793156) (Pubitemid 350047959)
    • (2007) Physics of Fluids , vol.19 , Issue.10 , pp. 106105
    • Tumin, A.1
  • 7
    • 33645782937 scopus 로고    scopus 로고
    • Theory of detonation with embedded sonic locus
    • doi:10.1137/040616930
    • Stewart, D. S. & Kasimov, A. R. 2005 Theory of detonation with embedded sonic locus. SIAM J. Appl. Math. 66, 384-407. (doi:10.1137/040616930)
    • (2005) SIAM J. Appl. Math , vol.66 , pp. 384-407
    • Stewart, D.S.1    Kasimov, A.R.2
  • 8
    • 65649110477 scopus 로고    scopus 로고
    • Multidimensional stability analysis of gaseous detonations near Chapman-Jouguet conditions for small heat release
    • doi:10.1017/S0022112008005387
    • Clavin, P. & Williams, F. A. 2009 Multidimensional stability analysis of gaseous detonations near Chapman-Jouguet conditions for small heat release. J. Fluid Mech. 324, 125-150. (doi:10.1017/S0022112008005387)
    • (2009) J. Fluid Mech , vol.324 , pp. 125-150
    • Clavin, P.1    Williams, F.A.2
  • 9
    • 0000390993 scopus 로고
    • Propagation of strong blast wave
    • Sedov, L. I. 1946 Propagation of strong blast wave. Prikl. Mat. Mech. 10, 235-247.
    • (1946) Prikl. Mat. Mech , vol.10 , pp. 235-247
    • Sedov, L.I.1
  • 10
    • 0000888868 scopus 로고
    • The dynamics of the combustion products behind plane and spherical detonation fronts in explosives
    • doi:10.1098/ rspa.19500014
    • Taylor, G. 1950 The dynamics of the combustion products behind plane and spherical detonation fronts in explosives. Proc. R. Soc. Lond. A 200, 235-247. (doi:10.1098/ rspa.1950.0014)
    • (1950) Proc. R. Soc. Lond. A , vol.200 , pp. 235-247
    • Taylor, G.1
  • 11
    • 0000922887 scopus 로고
    • An experimental investigation of spherical detonation of gases
    • Zeldovich, Y. B., Kogarko, S. M. & Simonov, N. 1956 An experimental investigation of spherical detonation of gases. Sov. Phys. Tech. Phys. 1, 1689-1713.
    • (1956) Sov. Phys. Tech. Phys , vol.1 , pp. 1689-1713
    • Zeldovich, Y.B.1    Kogarko, S.M.2    Simonov, N.3
  • 12
    • 0021196777 scopus 로고
    • Dynamic parameters of gaseous detonations
    • doi:10.1146/annurev.fl.16.010184.001523
    • Lee, J. H. 1984 Dynamic parameters of gaseous detonations. Annu. Rev. Fluid Mech. 16, 311-336. (doi:10.1146/annurev.fl.16.010184.001523)
    • (1984) Annu. Rev. Fluid Mech , vol.16 , pp. 311-336
    • Lee, J.H.1
  • 13
    • 0017471358 scopus 로고
    • A simple analysis of the blast initiation of detonations
    • doi:10.1016/0094-5765(77)90059-5
    • Sichel, M. 1977 A simple analysis of the blast initiation of detonations. Acta Astronaut. 4, 409-424. (doi:10.1016/0094-5765(77)90059-5)
    • (1977) Acta Astronaut , vol.4 , pp. 409-424
    • Sichel, M.1
  • 14
    • 0028532321 scopus 로고
    • On the direct initiation of gaseous detonations by an energy source
    • doi:10.1017/S0022112094002740
    • He, L. & Clavin, P. 1994 On the direct initiation of gaseous detonations by an energy source. J. Fluid Mech. 277, 227-248. (doi:10.1017/S0022112094002740)
    • (1994) J. Fluid Mech , vol.277 , pp. 227-248
    • He, L.1    Clavin, P.2
  • 15
    • 0029256509 scopus 로고
    • On the normal detonation shock velocity-curvature relationships for material with large activation energy
    • doi:10.1016/0010-2180(94)00144-H
    • Yao, J. & Stewart, D. S. 1995 On the normal detonation shock velocity-curvature relationships for material with large activation energy. Combust. Flame 100, 519-528. (doi:10.1016/0010-2180(94)00144-H)
    • (1995) Combust. Flame , vol.100 , pp. 519-528
    • Yao, J.1    Stewart, D.S.2
  • 16
    • 0029863720 scopus 로고    scopus 로고
    • Theoretical determination of the critical conditions for the direct initiation of detonations in hydrogen-oxygen mixtures
    • DOI 10.1016/0010-2180(96)00141-1
    • He, L. 1996 Theoretical determination of the critical conditions for the direct initiation of detonations in hydrogen-oxygen mixtures. Combust. Flame 104, 401-418. (doi:10.1016/0010-2180(96)00141-1) (Pubitemid 26103979)
    • (1996) Combustion and Flame , vol.104 , Issue.4 , pp. 401-418
    • He, L.1
  • 17
    • 0142059724 scopus 로고    scopus 로고
    • Heat propagation from a concentrated external energy source in a gas
    • DOI 10.1017/S0022112003005664
    • Kurdyumov, V., Sánchez, A. L. & Liñán, A. 2003 Heat propagation from a concentrated external energy source in a gas. J. Fluid Mech. 491, 379-410. (doi:10.1017/S0022112003005664) (Pubitemid 37261922)
    • (2003) Journal of Fluid Mechanics , vol.491 , pp. 379-410
    • Kurdyumov, V.1    Sanchez, A.L.2    Linan, A.3
  • 18
    • 0347687197 scopus 로고    scopus 로고
    • Comments on criteria for direct initiation of detonation
    • doi:10.1098/rsta.1999.0506
    • Lee, J. H. S. & Higgins, A. J. 1999 Comments on criteria for direct initiation of detonation. Phil. Trans. R. Soc. Lond. A 357, 3503-3521. (doi:10.1098/rsta.1999.0506)
    • (1999) Phil. Trans. R. Soc. Lond. A , vol.357 , pp. 3503-3521
    • Lee, J.H.S.1    Higgins, A.J.2
  • 19
    • 0033773266 scopus 로고    scopus 로고
    • The role of unsteadiness in direct initiation of gaseous detonations
    • doi:10.1017/S0022112000001555
    • Eckett, C. A., Quirk, J. J. & Shepherd, J. S. 2000 The role of unsteadiness in direct initiation of gaseous detonations. J. Fluid Mech. 421, 147-183. (doi:10.1017/S0022112000001555)
    • (2000) J. Fluid Mech , vol.421 , pp. 147-183
    • Eckett, C.A.1    Quirk, J.J.2    Shepherd, J.S.3
  • 20
    • 14844282760 scopus 로고    scopus 로고
    • Asymptotic theory of evolution and failure of self-sustained detonations
    • DOI 10.1017/S0022112004002599
    • Kasimov, A. R. & Stewart, D. S. 2005 Asymptotic theory of evolution and failure of selfsustained detonations. J. Fluid Mech. 525, 161-192. (doi:10.1017/S0022112004002599) (Pubitemid 40345602)
    • (2005) Journal of Fluid Mechanics , vol.525 , pp. 161-192
    • Kasimov, A.R.1    Stewart, D.S.2
  • 21
    • 84856518242 scopus 로고    scopus 로고
    • Critical slow dynamics of detonation in a gas with non-uniform initial temperature and composition: A large-activation energy analysis
    • doi:10.1260/175682709789685822
    • Vidal, P. 2009 Critical slow dynamics of detonation in a gas with non-uniform initial temperature and composition: a large-activation energy analysis. Int. J. Spray Combust. Dyn. 1, 435-471. (doi:10.1260/ 175682709789685822)
    • (2009) Int. J. Spray Combust. Dyn , vol.1 , pp. 435-471
    • Vidal, P.1
  • 22
    • 0029754568 scopus 로고    scopus 로고
    • Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases
    • doi:10.1017/S0022112096001334
    • Clavin, P. & He, L. 1996 Stability and nonlinear dynamics of one-dimensional overdriven detonations in gases. J. Fluid Mech. 306, 353-378. (doi:10.1017/S0022112096001334)
    • (1996) J. Fluid Mech , vol.306 , pp. 353-378
    • Clavin, P.1    He, L.2
  • 23
    • 0000296180 scopus 로고
    • Flow calculations for pulsating one-dimensional detonations
    • doi:10.1063/1.1761791
    • Fickett, W. & Wood, W. W. 1966 Flow calculations for pulsating one-dimensional detonations. Phys. Fluids 9, 903-916. (doi:10.1063/1.1761791)
    • (1966) Phys. Fluids , vol.9 , pp. 903-916
    • Fickett, W.1    Wood, W.W.2
  • 24
    • 36849137731 scopus 로고
    • Stability of idealized one-reaction detonation
    • doi:10.1063/1.1711269
    • Erpenbeck, J. J. 1964 Stability of idealized one-reaction detonation. Phys. Fluids 7, 684-696. (doi:10.1063/1.1711269)
    • (1964) Phys. Fluids , vol.7 , pp. 684-696
    • Erpenbeck, J.J.1
  • 25
    • 0025461755 scopus 로고
    • Calculation of linear detonation instability: One-dimensional instability of plane detonation
    • doi:10.1017/S0022112090000362
    • Lee, H. I. & Stewart, D. S. 1990 Calculation of linear detonation instability: one-dimensional instability of plane detonation. J. Fluid Mech. 216, 103-132. (doi:10.1017/S0022112090000362)
    • (1990) J. Fluid Mech , vol.216 , pp. 103-132
    • Lee, H.I.1    Stewart, D.S.2
  • 26
    • 0035274163 scopus 로고    scopus 로고
    • One-dimensional overdriven detonations with branched-chain kinetics
    • DOI 10.1063/1.1345880
    • Sanchez, A. L., Carretero, M., Williams, F. A. & Clavin, P. 2001 One-dimensional overdriven detonations with branched-chain kinetics. Phys. Fluids 13, 776-792. (doi:10.1063/1.1345880) (Pubitemid 32329459)
    • (2001) Physics of Fluids , vol.13 , Issue.3 , pp. 776-778
    • Sanchez, A.L.1    Carretero, M.2    Clavin, P.3    Williams, F.A.4
  • 28
    • 0036220649 scopus 로고    scopus 로고
    • Dynamics of planar gaseous detonations near Chapman-Jouguet conditions for small heat release
    • doi:10.1088/1364-7830/6/1/307
    • Clavin, P. & Williams, F. A. 2002 Dynamics of planar gaseous detonations near Chapman-Jouguet conditions for small heat release. Combust. Theory Model. 6, 127-139. (doi:10.1088/1364-7830/6/1/307)
    • (2002) Combust. Theory Model , vol.6 , pp. 127-139
    • Clavin, P.1    Williams, F.A.2
  • 30
    • 0018030672 scopus 로고
    • Photochemical initiation of gaseous detonations
    • doi:10.1016/0094-5765(78)90003-6
    • Lee, J. H., Knystautas, R. & Yoshikawa, N. 1978 Photochemical initiation of gaseous detonations. Acta Astronaut. 5, 971-982. (doi:10.1016/0094-5765(78)90003-6)
    • (1978) Acta Astronaut , vol.5 , pp. 971-982
    • Lee, J.H.1    Knystautas, R.2    Yoshikawa, N.3
  • 31
    • 0019069109 scopus 로고
    • Regime classification of an exothermic reaction with nonuniform initial conditions
    • DOI 10.1016/0010-2180(80)90017-6
    • Zeldovich, Y. B. 1980 Regime classification of an exothermic reaction with nonuniform initial conditions. Combust. Flame 39, 211-214. (doi:10.1016/0010-2180(80)90017-6) (Pubitemid 11443520)
    • (1980) Combustion and Flame , vol.39 , Issue.2 , pp. 211-214
    • Zeldovich, Ya.B.1
  • 32
    • 0036990341 scopus 로고    scopus 로고
    • Mechanisms of detonation formation due to a temperature gradient
    • DOI 10.1088/1364-7830/6/4/302, PII S1364783002290579
    • Kapila, A. K., Schwendeman, D. W., Quirk, J. J. & Hawa, T. 2002 Mechanisms of detonation formation due to a temperature gradient. Combust. Theory Model. 6, 553-594. (doi:10.1088/1364-7830/6/4/302) (Pubitemid 36196045)
    • (2002) Combustion Theory and Modelling , vol.6 , Issue.4 , pp. 553-594
    • Kapila, A.K.1    Schwendeman, D.2    Quirk, J.J.3    Hawa, T.4
  • 33
    • 0027020045 scopus 로고
    • Critical conditions for detonation initiation in cold gaseous mixtures by nonuniform hot pockets of reactive gases
    • He, L. & Clavin, P. 1992 Critical conditions for detonation initiation in cold gaseous mixtures by nonuniform hot pockets of reactive gases. Proc. Combust. Inst. 24, 1861-1867.
    • (1992) Proc. Combust. Inst , vol.24 , pp. 1861-1867
    • He, L.1    Clavin, P.2
  • 34
    • 0347399327 scopus 로고
    • Theoretical and numerical analysis of the photochemical initiation of detonation in hydrogen-oxygen mixtures
    • doi:10.1016/S0082-0784(06)80626-0
    • He, L. & Clavin, P. 1994 Theoretical and numerical analysis of the photochemical initiation of detonation in hydrogen-oxygen mixtures. Proc. Combust. Inst. 25, 45-51. (doi:10.1016/S0082-0784(06)80626-0)
    • (1994) Proc. Combust. Inst , vol.25 , pp. 45-51
    • He, L.1    Clavin, P.2
  • 35
    • 0034896618 scopus 로고    scopus 로고
    • Théorie des détonations cellulaires dans les gaz. 1ere partie : Limites de stabilité des détonations fortement surcomprimées
    • DOI 10.1016/S1620-7742(01)01351-4
    • Clavin, P. & He, L. 2001 Theory of cellular detonations in gases. Part 1: Stability limits at strong overdrive. C. R. Acad. Sci. Paris 329, 463-471. (doi:10.1016/S1620-7742(01)01351-4) (Pubitemid 32734136)
    • (2001) Comptes Rendus de l'Academie de Sciences - Serie IIb: Mecanique , vol.329 , Issue.6 , pp. 463-471
    • Clavin, P.1    He, L.2
  • 36
    • 0037983715 scopus 로고    scopus 로고
    • Instability threshold of gaseous detonations
    • DOI 10.1017/S0022112003004038
    • Daou, R. & Clavin, P. 2003 Instability threshold of gaseous detonations. J. Fluid Mech. 482, 181-206. (doi:10.1017/S0022112003004038) (Pubitemid 36659080)
    • (2003) Journal of Fluid Mechanics , vol.482 , pp. 181-206
    • Daou, R.1    Clavin, P.2
  • 37
    • 0032641555 scopus 로고    scopus 로고
    • The multi-dimensional stability of weak-heat-release detonations
    • doi:10.1017/S0022112098003759
    • Short, M. & Stewart, D. S. 1999 The multi-dimensional stability of weak-heat-release detonations. J. Fluid Mech. 382, 109-135. (doi:10.1017/ S0022112098003759)
    • (1999) J. Fluid Mech , vol.382 , pp. 109-135
    • Short, M.1    Stewart, D.S.2
  • 38
    • 0000950670 scopus 로고
    • The stability of shockwaves: Investigation of the problem of stability of shock waves in arbitary media
    • D'Yakov, S. P. 1954 The stability of shockwaves: investigation of the problem of stability of shock waves in arbitary media. Zh. Eksp. Teor. Fiz 27, 288.
    • (1954) Zh. Eksp. Teor. Fiz , vol.27 , pp. 288
    • D'yakov, S.P.1
  • 39
    • 0000333974 scopus 로고
    • Concerning the stability of shock waves
    • Kontorovich, V. M. 1957 Concerning the stability of shock waves. Zh. Eksp. Teor. Fiz 33, 1525.
    • (1957) Zh. Eksp. Teor. Fiz , vol.33 , pp. 1525
    • Kontorovich, V.M.1
  • 42
    • 58149366155 scopus 로고
    • The effect of structure on stability of detonations. Role of the induction zone
    • Buckmaster, J. D. & Ludford, G. S. S. 1988 The effect of structure on stability of detonations. Role of the induction zone. Proc. Combust. Inst. 21, 1669-1676.
    • (1988) Proc. Combust. Inst , vol.21 , pp. 1669-1676
    • Buckmaster, J.D.1    Ludford, G.S.S.2
  • 43
    • 0001641134 scopus 로고    scopus 로고
    • Multidimensional stability analysis of overdriven gaseous detonations
    • Clavin, P., He, L. & Williams, F. A. 1997 Multidimensional stability analysis of overdriven gaseous detonations. Phys. Fluids 9, 3764-3785. (doi:10.1063/1.869520) (Pubitemid 127652034)
    • (1997) Physics of Fluids , vol.9 , Issue.12 , pp. 3764-3785
    • Clavin, P.1    He, L.2    Williams, F.A.3
  • 45
    • 0037185495 scopus 로고    scopus 로고
    • Diamond patterns in the cellular front of an overdriven detonation
    • doi:10.1103/PhysRevLett.88.044502
    • Clavin, P. & Denet, B. 2002 Diamond patterns in the cellular front of an overdriven detonation. Phys. Rev. Lett. 88, 044502. (doi:10.1103/ PhysRevLett.88.044502)
    • (2002) Phys. Rev. Lett , vol.88 , pp. 044502
    • Clavin, P.1    Denet, B.2
  • 46
    • 84856518346 scopus 로고    scopus 로고
    • Combustion waves in hydraulically resisted systems
    • doi:10.1098/rsta.2011.0341
    • Brailovsky, I., Kagan, L. & Sivashinsky, G. 2012 Combustion waves in hydraulically resisted systems. Phil. Trans. R. Soc. A 370, 625-646. (doi:10.1098/rsta.2011.0341)
    • (2012) Phil. Trans. R. Soc. A , vol.370 , pp. 625-646
    • Brailovsky, I.1    Kagan, L.2    Sivashinsky, G.3
  • 47
    • 0003188712 scopus 로고
    • Stability of idealized one-reaction detonation: Zero activation energy
    • doi:10.1063/1.1761376
    • Erpenbeck, J. J. 1965 Stability of idealized one-reaction detonation: zero activation energy. Phys. Fluids 8, 1192-1193. (doi:10.1063/1.1761376)
    • (1965) Phys. Fluids , vol.8 , pp. 1192-1193
    • Erpenbeck, J.J.1
  • 48
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames - 1. Derivation of basic equations
    • Sivashinsky, G. I. 1977 Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations. Acta Astronaut. 4, 1177-1206. (doi:10.1016/0094-5765(77)90096-0) (Pubitemid 8577389)
    • (1977) Acta Astronautica , vol.4 , Issue.11-12 , pp. 1177-1206
    • Sivashinsky, G.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.