메뉴 건너뛰기




Volumn 2, Issue 3, 2002, Pages 433-456

Singular perturbation analysis for the reduction of complex chemistry in gaseous mixtures using the entropic structure

Author keywords

Entropic Structure; Reduced Complex Chemistry; Singular Perturbation

Indexed keywords


EID: 0037906997     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2002.2.433     Document Type: Article
Times cited : (10)

References (37)
  • 2
    • 0002831736 scopus 로고
    • Prolegomena to the rational analysis of systems of chemical reactions
    • R. Aris, Prolegomena to the Rational Analysis of Systems of Chemical Reactions, Arch. Rational Mech. Anal. 19 (1965), 81-99.
    • (1965) Arch. Rational Mech. Anal. , vol.19 , pp. 81-99
    • Aris, R.1
  • 3
    • 0039211297 scopus 로고
    • On the stoichiometry of chemical reacting materials
    • R. Bowen, On the Stoichiometry of Chemical Reacting Materials, Arch. Rational Mech. Anal. 29 (1968), 114-124.
    • (1968) Arch. Rational Mech. Anal. , vol.29 , pp. 114-124
    • Bowen, R.1
  • 5
    • 0030266364 scopus 로고    scopus 로고
    • Kinetic scheme reduction via geometric singular perturbation techniques
    • P. Duchêne, P. Rouchon, Kinetic Scheme Reduction via Geometric Singular Perturbation Techniques, Chemical Engineering Science, 51, 20 (1996), 4661-4672.
    • (1996) Chemical Engineering Science , vol.51 , Issue.20 , pp. 4661-4672
    • Duchêne, P.1    Rouchon, P.2
  • 6
    • 0008027873 scopus 로고
    • Multicomponent transport algorithms
    • Springer Verlag
    • A. Ern, V. Giovangigli, Multicomponent Transport Algorithms, vol. 24, Lecture Notes in Physics, Springer Verlag, 1994.
    • (1994) Lecture Notes in Physics , vol.24
    • Ern, A.1    Giovangigli, V.2
  • 7
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • N. Fenichel, Persistence and Smoothness of Invariant Manifolds for Flows, Indiana Univ. Math. Journal 21 (1971), 193-226.
    • (1971) Indiana Univ. Math. Journal , vol.21 , pp. 193-226
    • Fenichel, N.1
  • 8
    • 0016070051 scopus 로고
    • Asymptotic stability with rate conditions
    • N. Fenichel, Asymptotic Stability with Rate Conditions, Indiana Univ. Math. Journal 23 (1974), 1109-1137.
    • (1974) Indiana Univ. Math. Journal , vol.23 , pp. 1109-1137
    • Fenichel, N.1
  • 9
    • 0001957566 scopus 로고
    • Asymptotic stability with rate conditions II
    • N. Fenichel, Asymptotic Stability with Rate Conditions II, Indiana Univ. Math. Journal 26 (1977), 81-93.
    • (1977) Indiana Univ. Math. Journal , vol.26 , pp. 81-93
    • Fenichel, N.1
  • 10
    • 34250627892 scopus 로고
    • Geometric singular perturbation theory for ordinary differential equations
    • N. Fenichel, Geometric Singular Perturbation Theory for Ordinary Differential Equations., Journal of Differential Equations 31 (1979), 53-98.
    • (1979) Journal of Differential Equations , vol.31 , pp. 53-98
    • Fenichel, N.1
  • 11
    • 0001364051 scopus 로고
    • The existence and uniqueness of steady states for a class of chemical reaction networks
    • M. Feinberg, The Existence and Uniqueness of Steady States for a Class of Chemical Reaction Networks, Arkiv Rat. Mech. Anal. 132 (1995), 311-370.
    • (1995) Arkiv Rat. Mech. Anal. , vol.132 , pp. 311-370
    • Feinberg, M.1
  • 12
    • 0000112210 scopus 로고
    • Multiple steady states for chemical reaction networks of deficiency one
    • M. Feinberg, Multiple Steady States for Chemical Reaction Networks of Deficiency One, Arkiv Rat. Mech. Anal. 132 (1995), 371-406.
    • (1995) Arkiv Rat. Mech. Anal. , vol.132 , pp. 371-406
    • Feinberg, M.1
  • 14
    • 0032381665 scopus 로고    scopus 로고
    • Asymptotic stability of equilibrium states for multicomponent reactive flows
    • V. Giovangigli, M. Massot, Asymptotic Stability of Equilibrium States for Multicomponent Reactive Flows, Math. Mod. Meth. Appl. Sci. 8 (1998), 251-297.
    • (1998) Math. Mod. Meth. Appl. Sci. , vol.8 , pp. 251-297
    • Giovangigli, V.1    Massot, M.2
  • 15
    • 85039648555 scopus 로고    scopus 로고
    • Entropic structure of multicomponent reactive flows with partial equilibrium reduced chemistry
    • V. Giovangigli, M. Massot, Entropic Structure of Multicomponent Reactive Flows with Partial Equilibrium Reduced Chemistry, Internal Report MAPLY- http://maply.univ-lyonl.fr/publis/publiv/2001/publis.html 326 (2001).
    • (2001) Internal Report MAPLY , vol.326
    • Giovangigli, V.1    Massot, M.2
  • 16
    • 0024034969 scopus 로고
    • Significance of vapor phase chemical reactions on CVD rates predicted by chemically frozen and local thermochemical equilibrium boundary layer theories
    • S. A. Gokoglu, Significance of Vapor Phase Chemical Reactions on CVD Rates Predicted by Chemically Frozen and Local Thermochemical Equilibrium Boundary Layer Theories, J. Electrochem. Soc. 135 (1988), 1562-1570.
    • (1988) J. Electrochem. Soc. , vol.135 , pp. 1562-1570
    • Gokoglu, S.A.1
  • 18
    • 0015489310 scopus 로고
    • Necessary and sufficient conditions for complex balancing in chemical kinetics
    • F.J.M. Horn, Necessary and Sufficient Conditions for Complex Balancing in Chemical Kinetics, Arch. Rat. Mech. Anal. 49 (1972), 172-186.
    • (1972) Arch. Rat. Mech. Anal. , vol.49 , pp. 172-186
    • Horn, F.J.M.1
  • 19
    • 0015143022 scopus 로고
    • Rate-controlled partial equilibrium method for treating reactive gas mixtures
    • J.C. Keck and D. Gillespie, Rate-Controlled Partial Equilibrium Method for Treating Reactive Gas Mixtures, Combustion and Flame 17 (1971), 237-241.
    • (1971) Combustion and Flame , vol.17 , pp. 237-241
    • Keck, J.C.1    Gillespie, D.2
  • 20
    • 0025208521 scopus 로고
    • Rate-controlled contrained-equilibrium theory of chemical reactions in complex systems
    • J.C. Keck, Rate-Controlled Contrained-Equilibrium Theory of Chemical Reactions in Complex Systems, Prog. Energy Comb. Sci. 16 (1990), 125-154.
    • (1990) Prog. Energy Comb. Sci. , vol.16 , pp. 125-154
    • Keck, J.C.1
  • 22
    • 0014926696 scopus 로고
    • The mathematical structure of chemical kinetics
    • F. J. Krambeck, The Mathematical Structure of Chemical Kinetics, Arch. Rational Mech. Anal. 38 (1970), 317-347.
    • (1970) Arch. Rational Mech. Anal. , vol.38 , pp. 317-347
    • Krambeck, F.J.1
  • 24
    • 0031539459 scopus 로고    scopus 로고
    • An evaluation of roe's scheme generalizations for equilibrium real gas flows
    • L. Mottura, L. Vigevano and M. Zaccanti, An Evaluation of Roe's Scheme Generalizations for Equilibrium Real Gas Flows, J. Comp. Phys. 138 (1997), 354-399.
    • (1997) J. Comp. Phys. , vol.138 , pp. 354-399
    • Mottura, L.1    Vigevano, L.2    Zaccanti, M.3
  • 25
    • 0026833045 scopus 로고
    • Simplifying chemical kinetics: Intrinsic Low dimensional manifold in composition space
    • U. Maas, S.B. Pope, Simplifying Chemical Kinetics: Intrinsic Low Dimensional Manifold in Composition Space, Combustion and Flame 88 (1992), 239-264.
    • (1992) Combustion and Flame , vol.88 , pp. 239-264
    • Maas, U.1    Pope, S.B.2
  • 26
    • 0010484096 scopus 로고
    • Partial chemical equilibrium in fluid dynamics
    • J.D. Ramshaw, Partial Chemical Equilibrium in Fluid Dynamics, Physics of Fluids 23(4) (1980), 675-680.
    • (1980) Physics of Fluids , vol.23 , Issue.4 , pp. 675-680
    • Ramshaw, J.D.1
  • 27
    • 0041386562 scopus 로고
    • The partial equilibrium approximation if reacting flows
    • M. Rein, The Partial Equilibrium Approximation if Reacting Flows, Physics of Fluids A 4(5) (1992), 873-886.
    • (1992) Physics of Fluids A , vol.4 , Issue.5 , pp. 873-886
    • Rein, M.1
  • 28
    • 0039117925 scopus 로고
    • Mass action law and the gibbs free energy function
    • N. Z. Shapiro, L. S. Shapley, Mass Action Law and the Gibbs Free Energy Function, SIAM J. Appl. Math. 13 (1965), 353-375.
    • (1965) SIAM J. Appl. Math. , vol.13 , pp. 353-375
    • Shapiro, N.Z.1    Shapley, L.S.2
  • 29
    • 0002099630 scopus 로고
    • Reduced kinetic mechanisms and asymptotic approximations for methane-air flames
    • Springer Verlag
    • M.D. Smooke (Ed.), Reduced Kinetic Mechanisms and Asymptotic Approximations for Methane-Air Flames, vol. 384, Lecture Notes in Physics, Springer Verlag, 1991.
    • (1991) Lecture Notes in Physics , vol.384
    • Smooke, M.D.1
  • 32
    • 0010633955 scopus 로고
    • Über simultane gleichgewichte und die beziehungen zwischen thermodynamik und reactionskinetik homogener systeme
    • R. Wegscheider, Über simultane Gleichgewichte und die Beziehungen zwischen Thermodynamik und Reactionskinetik homogener Systeme, Zeit. Chem. Phys. 39 (1902), 257-303.
    • (1902) Zeit. Chem. Phys. , vol.39 , pp. 257-303
    • Wegscheider, R.1
  • 33
    • 0002142885 scopus 로고
    • An axiomatic treatment of chemical reaction system
    • J. Wei, An Axiomatic Treatment of Chemical Reaction System, Journal of Chem. Phys, 36 (1962), 1578-1584.
    • (1962) Journal of Chem. Phys. , vol.36 , pp. 1578-1584
    • Wei, J.1
  • 34
    • 0012745042 scopus 로고
    • The structure and analysis of systems of chemical reactions
    • Academic Press, New York
    • J. Wei, C.D. Prater, The Structure and Analysis of Systems of Chemical Reactions, Adv. in Cat. 13 (1962), Academic Press, New York, 203-391.
    • (1962) Adv. in Cat. , vol.13 , pp. 203-391
    • Wei, J.1    Prater, C.D.2
  • 35
    • 0004288736 scopus 로고
    • The Benjamin/Cummings Publishing Company, Inc., Menlo Park, Second Edition
    • F. A. Williams, Combustion Theory, The Benjamin/Cummings Publishing Company, Inc., Menlo Park, Second Edition, 1985.
    • (1985) Combustion Theory
    • Williams, F.A.1
  • 37
    • 0031746098 scopus 로고    scopus 로고
    • A rate-controlled constrained-equilibrium thermochemistry algorithm for complex reacting systems
    • V. Yousefian, A Rate-Controlled Constrained-Equilibrium Thermochemistry Algorithm for Complex Reacting Systems, Combustion and Flame 115 (1998), 66-80.
    • (1998) Combustion and Flame , vol.115 , pp. 66-80
    • Yousefian, V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.