메뉴 건너뛰기




Volumn 82, Issue 2 B, 2004, Pages 156-169

The ignition of low-exothermicity solids by local heating

Author keywords

Hotspot; Ignition; Low exothermicity; Porous solid

Indexed keywords

COMBUSTION; DECOMPOSITION; DEGRADATION; EXPLOSIONS; EXPLOSIVES; HAZARDS; MATHEMATICAL MODELS; POROUS MATERIALS; WAVE PROPAGATION;

EID: 1942445082     PISSN: 09575820     EISSN: None     Source Type: Journal    
DOI: 10.1205/095758204322972799     Document Type: Article
Times cited : (12)

References (33)
  • 1
    • 0000159327 scopus 로고    scopus 로고
    • Instabilities, fingering and the Saffman-Taylor problem in filtration combustion
    • Aldushin, A.P. and Matkowsky, B.J., 1998, Instabilities, fingering and the Saffman-Taylor problem in filtration combustion, Combust Sci Technol, 133: 293-341.
    • (1998) Combust Sci Technol , vol.133 , pp. 293-341
    • Aldushin, A.P.1    Matkowsky, B.J.2
  • 2
    • 38149147232 scopus 로고
    • Path-following for dis-joint bifurcation problems arising in ignition theory
    • Balakrishnan, E., Swift, A. and Wake, G.C., 1994, Path-following for dis-joint bifurcation problems arising in ignition theory, Math Comput Model, 19: 9-15.
    • (1994) Math Comput Model , vol.19 , pp. 9-15
    • Balakrishnan, E.1    Swift, A.2    Wake, G.C.3
  • 3
    • 0030268014 scopus 로고    scopus 로고
    • Critical values for some non-class A geometries in thermal ignition theory
    • Balakrishnan, E., Swift, A. and Wake, G.C., 1996, Critical values for some non-class A geometries in thermal ignition theory, Math Comput Model, 24: 1-10.
    • (1996) Math Comput Model , vol.24 , pp. 1-10
    • Balakrishnan, E.1    Swift, A.2    Wake, G.C.3
  • 4
    • 0019574439 scopus 로고
    • A mathematical analysis of blow up for thermal reactions-the spatially nonhomogeneous case
    • Bebernes, J. and Kassoy, D., 1981, A mathematical analysis of blow up for thermal reactions-the spatially nonhomogeneous case, SIAM J Appl Math, 40: 476-484.
    • (1981) SIAM J Appl Math , vol.40 , pp. 476-484
    • Bebernes, J.1    Kassoy, D.2
  • 5
    • 0009031283 scopus 로고
    • A criterion for blow-up of solutions to semi-linear heat equations
    • Bellout, H., 1987, A criterion for blow-up of solutions to semi-linear heat equations, SIAM J Math Anal, 18: 722-737.
    • (1987) SIAM J Math Anal , vol.18 , pp. 722-737
    • Bellout, H.1
  • 6
    • 0033408194 scopus 로고    scopus 로고
    • Long-term flow/chemistry feedback in a porous medium with heterogeneous permeability: Kinetic control of dissolution and precipitation
    • Bolton, E.W. Lasaga, A.C. and Rye, D.M., 1999, Long-term flow/chemistry feedback in a porous medium with heterogeneous permeability: kinetic control of dissolution and precipitation, Am J Sci, 299: 1-68.
    • (1999) Am J Sci , vol.299 , pp. 1-68
    • Bolton, E.W.1    Lasaga, A.C.2    Rye, D.M.3
  • 7
    • 0010526533 scopus 로고    scopus 로고
    • Initiation of combustion waves in solids and the effect of geometry
    • Brindley, J., Griffiths, J.F., Mcintosh, A.C. and Zhang, J., 1999, Initiation of combustion waves in solids and the effect of geometry, ANZIAM J, 43: 149-163.
    • (1999) ANZIAM J , vol.43 , pp. 149-163
    • Brindley, J.1    Griffiths, J.F.2    Mcintosh, A.C.3    Zhang, J.4
  • 8
    • 1942528487 scopus 로고    scopus 로고
    • Effects of vaporization, diffusion and condensation on the combustion of reactive fluids in hot porous media
    • Brindley, J., Griffiths, J.F., Mcintosh, A.C. and Zhang, J., 2000, Effects of vaporization, diffusion and condensation on the combustion of reactive fluids in hot porous media, Proc J Soc Lond, A456: 997-1017.
    • (2000) Proc J Soc Lond , vol.A456 , pp. 997-1017
    • Brindley, J.1    Griffiths, J.F.2    Mcintosh, A.C.3    Zhang, J.4
  • 9
    • 0035836443 scopus 로고    scopus 로고
    • Ignition phenomenology and criteria associated with hotspots embedded in a reactive material
    • Brindley, J., Griffiths, J.F. and Mcintosh, A.C., 2001a, Ignition phenomenology and criteria associated with hotspots embedded in a reactive material, Chem Eng Sci, 56: 2037-2046.
    • (2001) Chem Eng Sci , vol.56 , pp. 2037-2046
    • Brindley, J.1    Griffiths, J.F.2    Mcintosh, A.C.3
  • 11
    • 0000254319 scopus 로고
    • Determination of critical ambient temperature for thermal ignition
    • Burnell, J.G., Graham-Eagle, J.G., Gray, B.F. and Wake, G.C., 1989, Determination of critical ambient temperature for thermal ignition, IMA J Appl Math 42: 147-154.
    • (1989) IMA J Appl Math , vol.42 , pp. 147-154
    • Burnell, J.G.1    Graham-Eagle, J.G.2    Gray, B.F.3    Wake, G.C.4
  • 13
    • 0001107810 scopus 로고
    • Travelling waves in exothermic systems
    • Gray, B.F. and Kordylewski, W., 1988, Travelling waves in exothermic systems, Proc R Soc Lond, A416: 103-113.
    • (1988) Proc R Soc Lond , vol.A416 , pp. 103-113
    • Gray, B.F.1    Kordylewski, W.2
  • 14
    • 0001847646 scopus 로고
    • Initial conditions for thermal ignition
    • Gray, B.F. and Wake, G.C., 1993, Initial conditions for thermal ignition, Math Comput Model, 18: 65-75.
    • (1993) Math Comput Model , vol.18 , pp. 65-75
    • Gray, B.F.1    Wake, G.C.2
  • 16
    • 0019392462 scopus 로고
    • Evolution of a deflagration in a cold combustible subjected to a uniform energy flux
    • Kapila, A.K., 1981, Evolution of a deflagration in a cold combustible subjected to a uniform energy flux, Int J Eng Sci, 19: 495-509.
    • (1981) Int J Eng Sci , vol.19 , pp. 495-509
    • Kapila, A.K.1
  • 18
    • 0000863427 scopus 로고
    • Some positone problems suggested by nonlinear heat generation
    • Keller, H.B. and Cohen, D.S., 1967, Some positone problems suggested by nonlinear heat generation, J Math Mech, 16: 1361-1376.
    • (1967) J Math Mech , vol.16 , pp. 1361-1376
    • Keller, H.B.1    Cohen, D.S.2
  • 19
    • 0020927931 scopus 로고
    • Mathematical analysis of thermal runaway for spatially inhomogeneous reactions
    • Lacey, A., 1983, Mathematical analysis of thermal runaway for spatially inhomogeneous reactions, SIAM J Appl Anal, 43: 1350-1366.
    • (1983) SIAM J Appl Anal , vol.43 , pp. 1350-1366
    • Lacey, A.1
  • 20
    • 0002281597 scopus 로고
    • Theory of ignition of a reactive solid by constant energy flux
    • Linan, A. and Williams, F.A., 1971, Theory of ignition of a reactive solid by constant energy flux, Combust Sci Technol, 3: 91-98.
    • (1971) Combust Sci Technol , vol.3 , pp. 91-98
    • Linan, A.1    Williams, F.A.2
  • 21
    • 0029345880 scopus 로고
    • Effects of two-phase flow on the deflagration of porous energetic materials
    • Margolis, S.B. and Williams, F.A., 1995, Effects of two-phase flow on the deflagration of porous energetic materials, J Propul Power, 11: 759-768.
    • (1995) J Propul Power , vol.11 , pp. 759-768
    • Margolis, S.B.1    Williams, F.A.2
  • 22
    • 0037119533 scopus 로고    scopus 로고
    • An approximate model for the ignition of reactive materials by a hot-spot with reactant depletion
    • Mcintosh, A.C., Brindley, J. and Griffiths, J.F., 2003, An approximate model for the ignition of reactive materials by a hot-spot with reactant depletion, Math Comput Model, 36: 293-306.
    • (2003) Math Comput Model , vol.36 , pp. 293-306
    • Mcintosh, A.C.1    Brindley, J.2    Griffiths, J.F.3
  • 24
    • 0000175514 scopus 로고    scopus 로고
    • An oscillatory route to extinction for solid fuel combustion waves due to heat losses
    • Mercer, G.N., Weber, R.O. and Sidhu, H.S., 1999, An oscillatory route to extinction for solid fuel combustion waves due to heat losses, Proc R Soc Lond, A454: 2015-2022.
    • (1999) Proc R Soc Lond , vol.A454 , pp. 2015-2022
    • Mercer, G.N.1    Weber, R.O.2    Sidhu, H.S.3
  • 28
    • 1542507157 scopus 로고    scopus 로고
    • The existence of steady states to a combustion model with internal heating
    • in press
    • Shah, A. and Wake, G.C., 2004, The existence of steady states to a combustion model with internal heating, Nonlin Anal (in press).
    • (2004) Nonlin Anal
    • Shah, A.1    Wake, G.C.2
  • 29
    • 0142249488 scopus 로고    scopus 로고
    • The effect of oxygen starvation on ignition phenomena in a reactive solid subject to a constant heat flux
    • Shah, A., Mcintosh, A.C., Brindley, J., Griffiths, J.F. and Pourkashanian, M., 2003, The effect of oxygen starvation on ignition phenomena in a reactive solid subject to a constant heat flux, Combust Theory Model, 7(3): 509-523.
    • (2003) Combust Theory Model , vol.7 , Issue.3 , pp. 509-523
    • Shah, A.1    Mcintosh, A.C.2    Brindley, J.3    Griffiths, J.F.4    Pourkashanian, M.5
  • 31
    • 0032758804 scopus 로고    scopus 로고
    • Ignition analysis of a porous energetic material: II. Ignition at a closed heated end
    • Telengator, A.M., Margolis, S.B. and Williams, F.A., 1999b, Ignition analysis of a porous energetic material: II. ignition at a closed heated end, Combust Theory Model, 3(3): 433-445.
    • (1999) Combust Theory Model , vol.3 , Issue.3 , pp. 433-445
    • Telengator, A.M.1    Margolis, S.B.2    Williams, F.A.3
  • 32
    • 0032629451 scopus 로고    scopus 로고
    • A weight-function approach for determining watershed initial conditions for combustion zones
    • Watt, S.D., Weber, R.O., Sidhu, H.S. and Mercer, G.N., 1999, A weight-function approach for determining watershed initial conditions for combustion zones, IMA J Appl Math, 62: 195-206.
    • (1999) IMA J Appl Math , vol.62 , pp. 195-206
    • Watt, S.D.1    Weber, R.O.2    Sidhu, H.S.3    Mercer, G.N.4
  • 33
    • 33746757093 scopus 로고    scopus 로고
    • Combustion waves for gases (Le = 1) and solids (Le → ∞)
    • Weber, R.O., Mercer, G.N., Sidhu, H.S. and Gray, B.F., 1997, Combustion waves for gases (Le = 1) and solids (Le → ∞), Proc R Soc Lond, A453: 1105-1118.
    • (1997) Proc R Soc Lond , vol.A453 , pp. 1105-1118
    • Weber, R.O.1    Mercer, G.N.2    Sidhu, H.S.3    Gray, B.F.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.