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Chemical Kinetics of the Shock‐Initiated Combustion of Hydrogen at High Pressure and Low Temperatures
1.G. L. Schott and J. L. Kinsey, J. Chem. Phys. 29, 1177 (1958).
1.Some results of a preliminary nature on reflected shock ignition in the HPLT regime actually preceded the Schott and Kinsey paper: J. A. Fay, Symp. Combust. 4th Cambridge, Mass., 1952, 501 (1953);
1.M. Steinberg and W. E. Kaskan, Symp. Combust. 5th Pittsburgh, Pa. 1954, 664 (1955).
2.R. A. Strehlow and A. Cohen, Phys. Fluids 5, 97 (1962). These workers used somewhat lower pressures than in the other reflected shock studies. Lengthening of ignition delays at is nonetheless evident in their results (see Strehlow and Cohen, Fig. 4).
3.S. Fujimoto, Bull. Chem. Soc. Japan 36, 1233 (1963).
4.R. I. Soloukhin, Shock Waves and Detonations in Gases (Mono Book Corp., Baltimore, Md., 1966);
4.V. V. Voevodsky and R. I. Soloukhin, Symp. Combust. 10th Cambridge Univ., Cambridge, England, 1964, 279 (1965);
4.R. I. Soloukhin, Fiz. Goreniya i Bzryva 3, 12 (1966).
5.H. Miyama and T. Takeyama, J. Chem. Phys. 41, 2287 (1965).
6.G. B. Skinner and G. H. Ringrose, J. Chem. Phys. 42, 2190 (1965).
7.Skinner and Ringrose (Ref. 6) assume formation of in Reaction (5) rather than Despite the large difference in the stability of the products, there is no appreciable difference in the ignition profiles when this reaction is used, with the same forward rate constant, in place of (5). V. N. Kondratiev, Dokl. Akad. Nauk SSSR 120, 137 (1960),
7.shows that hot‐vessel experiments near the third explosion limit cannot distinguish between and as the products of Reaction (5). Baldwin and Mayer, Trans. Faraday Soc. 56, 103 (1960), argue that slow‐reaction experiments in aged boric‐acid‐coated vessels are better explained by assuming that are formed. Reaction (02), not included in the calculations of Skinner and Ringrose, is included in both the analytical and numerical calculations done by us although its forward and reverse rates turn out to be insignificant for all conditions studied.
8.V. N. Kondratiev, Chemical Kinetics of Gas Reactions (Pergammon Press, Inc., New York, 1964), Sec. 39.
9.R. F. Stubbeman, dissertation, The University of Texas, 1963.
10.R. S. Brokaw, Symp. Combust. 10th Cambridge Univ., Cambridge, England, 1964, 269 (1965).
11.T. Asaba, W. C. Gardiner, Jr., and R. F. Stubbeman, Symp. Combust. 10th Cambridge Univ., Cambridge, England, 1964, 295 (1965).
12.D. L. Ripley and W. C. Gardiner, Jr., J. Chem. Phys. 44, 2285 (1966).
13.D. L. Ripley, dissertation, The University of Texas, 1967.
14.D. Gutman and G. L. Schott, J. Chem. Phys. 46, 4576 (1967).
15.D. Gutman, E. A. Hardwidge, F. A. Dougherty, and R. W. Lute, J. Chem. Phys. 47, 4400 (1967).
16.Natl. Bur. Std. (U.S.), Handbook Math. Functions, Appl. Math. Ser. 55, 17 (1964).
17. consider formation only through (4a). In our numerical integrations, but not in the analytical solution, this was augmented by (4b).
18.The integrations were performed using a local coding by B. F. Walker of the Los Alamos KIN II program developed by C. W. Hamilton. The program includes, optionally, the integration algorithm given by C. E. Treanor, Math. Computation 20, 39 (1966).
18.It is recognized that the constraint of steady reflected shock flow is unrealistic in view of the present finding that non‐steady gas dynamics influences ignition delays; we used it to take advantage of an existing computer program. The referee has called to our attention an alternative computational procedure which combines some of the virtues of each of the methods described in this paper: G. Moretti, AIAA J. 3, 223 (1965)
18.and J. DeGroat and M. Abbett, AIAA J. 3, 381 (1965). , AIAA J.
18.Combined gas‐dynamic and ignition kinetics computations for simple cases have been treated by R. B. Gilbert and R. A. Strehlow, AIAA J. 4, 1777 (1966) , AIAA J.
18.and R. A. Strehlow, A. J. Crooker, and R. E. Cusey, Combust. Flame 11, 339 (1967).
19.The rate was taken from R. W. Getzinger and G. L. Schott, J. Chem. Phys. 43, 3237 (1965);
19.recent work indicates that this value may be too low. See Ref. 15 and R. W. Getzinger and L. Blair, Phys. Fluids (to be published).
20.V. V. Voevodsky, Symp. Combust. 7th London, 1958, 34 (1959), obtained the value for listed in the HT and GHDL columns in Table I. At 900 °K, SR’s rate for is about times greater.
21.This point was not checked thoroughly. It would seem that thermal explosions could be responsible for the observed [OH] plateaus. At a given temperature, sufficient increase of the rate constant for or any similar radical‐catalzed recombination step, would probably yield transient [OH] plateaus preceding explosion.
22.N. M. Rodiguin and E. N. Rodiguina, Consecutive Chemical Reactions—Mathematical Analysis and Development (D. Van Nostrand Company, Inc., Princeton, N.J., 1964).
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