By Bernard Lewis
Combustion, Flames and Explosions of Gases, 3rd variation offers the chemist, physicist, and engineer with the medical foundation for figuring out combustion phenomena.
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Harteck, Z. physik. Chem. A139, 98 (1928). 14. I. Langmuir, J. Am. Chem. Soc. 4 0 , 1361 (1918). 15. W. L. Garstang and C. N. Hinshelwood, Proc. Roy. Soc. A 1 3 4 , 1 (1931). 16. J. , p. 314, Cambridge Univ. Press, New York, 1921. 17. A. O. Allen and Ο. K. Rice, J. Am. Chem. Soc. 57, 310 (1935); H. C. Campbell and Ο. K. Rice, ibid. 57, 1044 (1935); see also Ο. K. Rice, A. O. Allen, and H. C. Campbell, ibid. 57, 2212 (1935). 18. A. Appin, J. Chariton, and Ο. M. Todes, Acta Physicochim. ) 5, 654 (1936).
8. G. E. Kimball, J. Chem. Phys. 5, 310 (1937); cf. L. S. Kassel, ibid. 5, 922 (1937). 24 I. THEORETICAL FOUNDATIONS 11. R. C. Tolman, "Statistical Mechanics," Am. Chem. Soc. Monograph, (1927). 12. W. Steiner and Z. Bay Z. Physik, Chem. B 3 , 149 (1929); W. Steiner, Trans. Faraday Soc. 3 1 , 623 (1935); I. Amdur and A. L. Robinson, J. Am. Chem. Soc, 5 5 , 1395 (1933); H. M. Smallwood, ibid. 5 6 , 1542 (1934). 13. P. Harteck, Z. physik. Chem. A139, 98 (1928). 14. I. Langmuir, J. Am. Chem. Soc. 4 0 , 1361 (1918).
V a / D X is a very small number since in all physically interesting cases X <^ r and V a / D r cannot exceed ττ if η is to remain positive [compare equation (23)]. Thus, cos Va/DX — 1 and sin Va/DX — V a / D r . Chain carriers that diffuse from the wall into the gas phase are those that have undergone a collision with the wall and have been reflected and those that are generated at the wall by a chemical process. Assuming that the chemically generated carriers possess randomized velocities of the average value v, the rate at which chain carriers leave the wall becomes, according to gas kinetic theory, equal to the product of (v/4) and the chain carrier concentration at the wall.