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On a first-order boundary value problem form laminar flame theory. (English) Zbl 0114.42402


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fluid mechanics
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[1] Penner, S. S., & F. A.Williams: The theory of steady, one-dfmensional, laminar flame propagation for one-step chemical reactions. Astron. Acta7, 171 (1961).
[2] Evans, M. W.: Current theoretical concepts of steady-state flame propagation. Chemical Reviews51, 363 (1952). · doi:10.1021/cr60160a001
[3] Hirschfelder, J. O., & C. F.Curtiss: Propagation of flames and detonations. Advances in Chemical Physics,3, pp. 59-129. New York: Interscience Publishers, Inc. 1961.
[4] Johnson, W. E., & W.Nachbar: Laminar flame theory and the steady linear burning of a monopropellant. Arch. Rational Mech. Anal.12, 58-92 (1963). · Zbl 0111.40502 · doi:10.1007/BF00281220
[5] Spalding, D. B.: One-dimensional laminar flame theory for temperature-explicit reaction rates. Comb, and Flame1, 296-307 (1957). · doi:10.1016/0010-2180(57)90016-0
[6] Adler, J.: The limits of the Eigenvalue of the laminar flame equation in terms of the reaction rate-temperature centroid. Comb. and Flame3, 389-397 (1959). · doi:10.1016/0010-2180(59)90040-9
[7] Klein, G.: A contribution to flame theory. Phil. Trans. Roy. Soc. (London), Ser. A249, 389-415 (1957). · Zbl 0078.22106 · doi:10.1098/rsta.1957.0003
[8] Kolmogoroff, A., I.Petrovsky & N.Piscounoff: Étude de l’équation de la diffusion avec croissance de la quantité de matière et son application à un problème biologique. Bulletin de l’Université d’État à Moscou, Série International, Vol. I, Section A, 1-25 (1937). · Zbl 0018.32106
[9] Layzer, D.: Theory of laminar flame propagation. J. Chem. Phys.22, 222-229 (1954). · doi:10.1063/1.1740035
[10] Vulis, L. A.: Thermal Regimes of Combustion. New York: McGraw-Hill 1961.
[11] Graves, L. M.: Theory of Functions of Real Variable. New York: McGraw-Hill 1946. · Zbl 0063.01720
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