An Asymptotic Analysis of Unsteady Diffusion Flames for Large Activation Energies

REFERENCES

• Brevig , O. , and Shahrokhi , F. ( 1971 ). On the free turbulent mixing and combustion between coaxial hydrogen and air streams. 9th Aerospace Sciences Meeting, AIAA Paper 71 – 75 .
   Google Scholar
• Bush , W. B. , and Fendell , F. E. ( 1970 ). Asymptotic analysis of laminar flame propagation for general Lewis numbers . Combustion Science and Technology , 1 , 421 .
   Google Scholar
• Clarke , J. F. ( 1967a ). The laminar diffusion flame in Oseen flow, Proc, of the Roy, Soc, Series A, 296 , No. 1447 , pp. 519 – 545 .
   Google Scholar
• Clarke , J. F. ( 1967b ). The laminar diffusion flame behind a blunt body. A constant pressure Oseen-flow model . J. Inst. Maths. Applic , 3 , 347 .
   Google Scholar
• Chung , P. M. , Fendell , F. E. , and Holt , J. F. ( 1966 ). Non-equilibrium anomalies in the development of diffusion flames . AIAA J. , 4 , 1020 .
   Google Scholar
• Fendell , F. E. ( 1965 ). Ignition and extinction of initially unmixed reactants . J. Fluid Mech. , 21 , 281 .
   Web of Science ®Google Scholar
• Ferri , A. ( 1964 ). Review of problems in application of supersonic combustion . J. Roy. Astron. Soc , 64 , No. 654 , pp. 575 – 597 .
   Google Scholar
• Friedlander , S. K. , and Keller , K. H. ( 1963 ). The structure of the zone of diffusion controlled reaction . Chem. Etig. Sci. , 18 , 365 .
   Google Scholar
• Hermance , C. E. , and Kumar , R. K. ( 1970 ). Gas phase ignition theory for homogeneous propellants under shock tube conditions. AIAA J. 8 , 1551 .
   Google Scholar
• Jain , V. K. , and Kumar , R. N. ( 1969 ). Theory of laminar flame propagation with non-normal diffusion . Combustion and Flame , 13 , 285 .
   Web of Science ®Google Scholar
• Kashiwagi , T. , and Summerfield , M. ( 1973 ). Ignition and flame spreading over a solid fuel. Non-similar theory for a hot oxidizing boundary layer. Fourteenth Sym-posuim {International) on Combustion, The Combustion Institute (Pittsburgh, Pa). 1235 – 1247 .
   Google Scholar
• Krishnamurty , L. , and Williams , F. A. ( 1971 ). Kinetics and regression . SiamJ. Appi. Math. , 20 , 590 .
   Google Scholar
• Libby , P. A. , and Economos , E. ( 1963 ). A flame zone model for chemical reaction in a laminar boundary layer with application to the injection of hydrogen-oxygen mixtures . Int. Heat Mass Transfer , 6 , 113 .
   Google Scholar
• Liebman , J. , Corry , J. , and Perlee , H. E. ( 1970 ). Flame propagation in layered methane-air systems . Combustion Science and Technology , 1 , 257 .
   Google Scholar
• Lindberg , R. G. , Schmitz , R. A. ( 1969 ). On the multiplicity of steady states in boundary layer problems with surface reaction . Chem. Eng. Sci. , 24 , 1113 .
   Google Scholar
• Liflan , A. ( 1961 ). On the internal structure of laminar diffusion flames . OSR/EOAR TN 62-24, INTA, Madrid. Also ASTIA AD 273069 .
   Google Scholar
• Lifian , A. ( 1963 ). On the structure of laminar diffusion flames . Aero. Eng. Thesis , California Institute of Technology . Also, Tech. Rept. FM 63-2, INTA Madrid, Spain .
   Google Scholar
• Lirian , A. ( 1970 ). Diffusion flames and supersonic combustion . Ann. Sci. Rept. No. 1 EOAR Cent. No. F61052-69–0036. Madrid .
   Google Scholar
• Linan , A. ( 1973 ). The asymptotic structure of counter flow diffusion flames for large activation energies . Presented at the " Fourth International Colloquium on Gas-dynamics of Explosions and Reactive Systems ", La Jolla, July 1973. Also (1974). Ada Astronaulica, 1, 1007 – 1039 .
   Google Scholar
• Marble , F. E. , Adamson , T. C. Jr. ( 1954 ). Ignition and combustion in a laminar mixing region . Jet Propulsion , 24 , 85 .
   Web of Science ®Google Scholar
• O'Brien , E. E. ( 1971 ). Turbulent mixing of two rapidly reacting chemical species . Physics of Fluids , 14 , 1326 – 31 .
   Google Scholar
• Pearson , J. R. A. ( 1963 ). Diffusion of one substance into a semi-infinite medium containing another with second-order reaction . Appi. Sci. Res. , A11 , 321 .
   Google Scholar
• Strahle , W. C. ( 1969 ). A transient problem on the evaporation of a reactive fuel . Combustion Science and Technology , 1 , 25 .
   Google Scholar
• Waldman , C. H. , Cheng , S. I. , Sirignano , W. A. , and Summerfield , M. ( 1969 ). Theoretical studies of diffusion flame structures . A MS Report 860, Jan. 1969 , Princeton Univ ., Princeton , N.J . ( Also C. H. Waldman, Ph.D. Thesis. )
   Google Scholar
• Williams , F. A. ( 1965 ). Combustion Theory. Chapter 12 . Addison-Wesley.
   Google Scholar
• Wolanski , P. , and Wojcicki , S. ( 1973 ). Investigation into the mechanism of the diffusion ignition of a combustible gas flowing into an oxidizing atmosphere . Fourteenth Symposium (International) on Combustion , The Combustion Institute ( Pittsburgh , Pa .) , 1217 – 1223 .
   Google Scholar
• Zeldovich , Y. B. , and Frank-Kamenetsky , D. A. , ( 1938 ). Theory of uniform flame propagation . Dokl. Akad. Nauk. SSSR , 19 , 693 .
   Google Scholar
• Zeldovich , Y. B. , and Frank-Kamenetsky , D. A. ( 1938 ). Theory of thermal flame propagation . J. Phys. Chem. Moscow , 12 , 100 .
   Google Scholar