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Original Articles

Application of Sensitivity Analysis to Premixed Hydrogen-Air Flames

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Pages 295-319 | Received 03 Nov 1986, Published online: 06 Apr 2007

References

  • Agnew , J. T. , and Graiff , L. B. ( 1961 ). The pressure dependence of laminar burning velocity by the spherical bomb method . Comb. and Flame 5 , 209 .
  • Blint , R. J. ( 1986 ). The relationship of the laminar flame width 10 flame speed . Comb. Sci lind Tech . 49 , 79 .
  • Coffee , T. P. , and Heimerl , J. M. ( 1983 ). Sensitivity analysis for premixed, laminar steady state flames . Comb. and Flame 50 , 323 .
  • Demirlap , M. , and Rabitz , H. ( 1981 ). Chemical kinetic functional sensitivity analysis: Elementary sensitivities . J. Chern. Phys. 74 , 3362 .
  • Dernirlap , M. , and Rabitz , H. ( 1981 ). Chemical kinetic functional sensitivity analysis: Derived sensitivities and general applications . J. Chem. Phys. 75 , 1810 .
  • Deuflhard , P. ( 1974 ). A modified Newton method for the solution of ill-conditioned systems of nonlinear equations with application to multiple shooting . Numer. Math. , 22 , 289 .
  • Dixon-Lewis , G. ( 1967 ). Flame structure and flame reaction kinetics. I: Solution of conservation equations and application to rich hydrogen-oxygen flames . Proc. Roy. Soc. London 298A . 495 .
  • Dixon-Lewis , G. ( 1979 ). Kinetic mechanism, structure, and properties of premixed flames in hydrogen-oxygen-nitrogen mixtures . Phil. Trans. Royal Soc. London . 292 , 45 .
  • Dougherty , E. P. , Hwang , J. T. , and Rabitz , H. ( 1979 ). Further developments and applications of the Green's function method of sensitivity analysis in chemical kinetics . J. Chem. Phys. 71 , 1794 .
  • Fine , B. ( 1959 ). Effect of pressure on turbulent burning velocity . Comb. and Flame , 2 , 109 .
  • Frank , P. M. ( 1978 ). Introduction to System Sensitivity Theory . Academic Press . New York .
  • Glassman , I. ( 1977 ). Combustion . Academic Press , New York .
  • Hirschfelder , J. O. , and Curtiss , C. F. ( 1949 ). The theory of flame propagation . J. Chern. Phys. 17 , 1076 .
  • Hwang , J. T. , Dougherty , E. P. , Rabitz , S. , and Rabitz , H. ( 1978 ). The Green's function method of sensitivity analysis in chemical kinetics . J. Chem. Phys. 69 , 5180 .
  • Jarosinski , J. ( 1984 ). The thickness of laminar flames . Comb. lind Flame , 56 , 337 .
  • Kautsky , J. , and Nichols , N. K. ( 1980 ). Equidistributing meshes with constraints . SIAM J. Sci. and Stat. Comp. 1 , 499 .
  • Kee , R. J. , Warnatz , J. , and Miller , J. A. ( 1983 ). A Fortran computer code package for the evaluation of gas-phase viscosities, conductivities, and diffusion coefficients . Sandia National Laboratories Report. SAND83-8209 .
  • Margolis , S. B. ( 1978 ). Time-dependent solution of a premixed laminar flame . J. Comp. Phys. 27 , 410 .
  • Miller , J. A. , Mitchell , R. E. , Smooke , M. D. , and Kee , R. J. ( 1982 ). Toward a comprehensive chemical kinetic mechanism for the oxidation of acetylene: Comparison of model predictions with results from flame and shock tube experiments . Nineteenth Symposium (International) on Combustion, Reinhold , New York , p. 181 .
  • Miller , J. A. Smooke , M. D. , Green , R. M. , and Kee , R. J. ( 1983 ). Kinetic modeling of the oxidation of ammonia in flames . Comb. Sci. and Tech. 34 , 149 .
  • Mishra , M. , Yeller , R. , Reuven , Y. Rabitz , H. , and Smooke , M. D. ( 1986 ). Sensitivity analysis of steady-state premixed laminar flames: Application to a CO +H2 +O2 System . Submiued to Comb. and Flame .
  • Rabitz , H. ( 1981 ). Chemical sensitivity analysis theory with applications to molecular dynamics and kinetics . Compo and Chemistry 5 , 167 .
  • Rabitz , H. , Kramer , M. , and Dacol , D. ( 1983 ). Sensitivity analysis in chemical kinetics . Ann. Rev. Phys. Chem. 34 , 419 .
  • Rabitz , H. , and Smooke , M. D. ( 1986 ). Scaling relations and self-similarity conditions in strongly coupled dynamical systems . Submitted to J. Phys. Chem.
  • Reuven , Y. , Smooke , M. D. , and Rabitz , H. ( 1986 ). Sensitivity analysis of boundary value problems: Application to reaction-diffusion systems . J. Compo Phys. 64 , 27 .
  • Russell , R. D. ( 1979 ). Proceedings ofthe Conference for Working Codes for Boundary Value Problems in ODEs , B. Childs (Eds), Springer-Verlag , New York .
  • Smooke , M. D. ( 1982 ). Solution of burner-stabilized premixed laminar flames by boundary value methods . J. Camp. Phys. 48 , 72 .
  • Smooke , M. D. , Miller , J. A. , and Kee , R. J. ( 1983 ). Determination of adiabatic flame speeds by boundary value methods . Comb. Sci. and Tech. 34 , 79 .
  • Smooke , M. D. ( 1983 ). An error estimate for the modified Newton method with applications to the solution of nonlinear two-point boundary value problems . J. Opt. Theory and Appl. 39 , 489 .
  • Spalding , D. B. ( 1955 ). Some Fundamentals of Combustion . Academic Press , New York .
  • Spalding , D. B. ( 1956 ). The theory of flame phenomena with a chain reaction . Phil. Trans. Roy. Soc. London , 249A , 1 .
  • Strehlow , R. A. ( 1984 ). Combustion Fundamentals . McGraw-Hili , New York .
  • Tilden , J. w. , Costanza , v. , McRae , G. J. , and Seinfeld , J. H. ( 1981 ). Sensitivity analysis of chemically reacting systems, in Modeling-of Chemical Reaction Systems , K. Ebert , P. Deuflhard and W. Jager (Eds), Springer-Verlag , New York .
  • Tomovic , R. , and Vukobratovic , M. ( 1972 ). General Sensitivity Theory . American Elsevier , New York .
  • Warnatz , J. ( 1978 ). Calculation of the structure of laminar flat flames. III: Structure of burner-stabilized hydrogen-oxygen and hydrogen-fluorine flames . Ber. Bunsenges. Phys. Chem. 82 , 834 .
  • Westbrook , C. K. , and Dryer , E. L. ( 1980 ). Prediction of laminar flame properties of methanol-air mixtures . Comb. and Flame 37 , 171 .
  • Yetter , R. , Eslava , L. A. , Dryer , E. , and Rabitz , H. ( 1984 ). Elementary and derived sensitivity information in chemical kinetics . J. Phys. Chern. 88 , 1497 .

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