D. A. Frank-Kamenetskii

Ya.B. Zel dovich and D.A Frank-Kamenetskii. A theory of thermal flame propagation. Acta Physicochimica URSS, IX 341-350, 1938. 

D.A. Frank-Kamenetskii, Diffusion and Heat Exchange in Chemical Reactions, Plenum Press, New York, 2nd edn., 1969. 

D.A.. Frank Kamenetskii, (1955), Diffusion and Heat-transfer in Chemical Kinetics, Princton Univ. Press, N.J., USA... 

Ya.B. Zel dovich, M.A. Rivin D.A. Frank-Kamenetskii, "Impulse of Reactive Force of Solid Propellant Rockets , CFSTI, Springfield, Va (1966) 194pp... 

Accdg to Andreev Belyaev (Ref 14, pp 158ff), another theory of gaseous combustion was developed in 1938 by Ya.B. Zel dovich D.A. Frank-Kamenetskii. A.F. Belyaev... 

The solution of the Poisson-Boltzmann equation with. the application to thermal explosions) 5) D.A. Frank-Kamenetskii, "Diffusion and Heat Exchange in Chemical Kinetics, pp 202-66, Princeton Uni v-Press, Princeton, NJ (1955) (Quoted from MaSek s paper) 6) L.N. Khitrin, "Fizika Goreniya i Yzryva (Physics of Combustion and Explosion), IzdMGU, Moscow (1957)... 

Refs 1) D.A. Frank-Kamenetskii, ActaPhys-Chim URSS 10, 365 (1939) 2) H. Jones,... 

Explosive reactions) l4)D.A Frank-Kamenetskii, ZhFizKhim 10, 365-70 (1939) 16 357-61 (1942) 20, 729-36 (1943) (Mathematical theory of thermal expin, called 1 stationary theory of thermal expin ) 15)K.K,Andreev, KhimReferatZhur 1940, No 10-11, p 129 CA 37, 1604 (1943) (Mechanism of expl reaction) 16)M.Mucahy A.Yoffe, Australian Chemlnst Jour Proc 11, 106-20 (1944) (chain reactions and gaseous expins) 17)Ibid 11, 134-46 fit 166-74 (1944) (Propagation of gaseous expins. 

D.A. Frank-Kamenetskii, cited in V. Levich, Physicochemical Hydrodynamics, Prentice-Hall, Englewood Cliffs, NJ, 1962, p. 74. 

Problems of how chemical reactions (including catalytic reactions and combustion) run under real conditions naturally led Ya.B. to hydrodynamics, heat transfer and problems of turbulence. Another significant factor was his contact with the prominent scientist D. A. Frank-Kamenetskii, who joined the Institute of Chemical Physics in 1935 with broad interests in these areas and in similarity theory. 

Physics, which Ya.B. headed until 1947. Close interaction between theorists and experimentalists ensured extraordinarily rapid progress in the science of combustion during this period. Among those involved in collaboration and in all the discussions with Ya.B. were N. N. Semenov, Yu. B. Khariton, A. F. Belyaev, D. A. Frank-Kamenetskii, K. I. Schelkin, 0. I. Leipunskii, S. M. Kogarko, P. Ya. Sadovnikov, G. A. Barskii, V. V. Voevod-skii and other well-known representatives of the Soviet school of combustion. 

However, most important and complicated are those processes in which the chemical combustion reaction occurs in space and time. Let us note a brief paper by Ya.B. on the theory of gas ignition by a heated surface (18). This work may be considered a generalization of D. A. Frank-Kamenetskii s theory of thermal explosion. However, when part of the surface has a high temperature, Ya.B. was able to formulate a general principle of ignition which is applicable under the broadest variety of geometric and gasdynamic conditions. 

A special place among kinetic studies in combustion is occupied by work on nitrogen oxidation. Begun at the AS USSR Institute of Chemical Physics in the mid-thirties on the initiative of N. N. Semenov, research to determine the feasibility of fixation of atmospheric nitrogen for the production of mineral fertilizers has today found application in the development of environmental protection measures for toxic components of combustion products, including nitrogen oxide. In December, 1939, Ya.B. defended his doctoral dissertation on The Oxidation of Nitrogen in Combustion and Explosions. It was precisely these studies, in which D. A. Frank-Kamenetskii, P. Ya. Sadovnikov, A. A. Rudoy, A. A. Kovalskii, and others actively participated, that led Ya.B. to the problems of combustion and detonation. 

Let us turn to Ya.B. s paper on ignition of a combustible gas mixture by a heated wall (18). By the time this paper was written, N. N. Semenov and D. A. Frank-Kamenetskii had already done work on gas ignition in closed vessels under a variety of assumptions. In N. N. Semenov s work the gas was assumed to be ideally mixed and the temperature of the gas in the vessel to be constant. D. A. Frank-Kamenetskii considered a gas at rest, so that heat transfer occurred only through molecular thermal conduction. 

The next book of Ya.B. s selected works (Particles, Nuclei, and the Universe) will contain biographies and essays on the works of A. Einstein [46 ], the outstanding Soviet physicist, Academician B. Konstantinov [47 ], and the eminent Soviet scientist, Professor D. A. Frank-Kamenetskii. These articles characterize not only the people they describe, but they also reveal the aspirations and world view of Ya.B. himself, just as does his self-critical scientific autobiography [49 ]. 

The basic ideas of this monograph were conceived, theoretically developed and subjected to experimental testing in the process of creative work by the collective at the combustion laboratory of the Institute of Chemical Physics, and I consider it my pleasant duty to note particularly the participation of G. A. Barskii, N. P. Drozdov, V. I. Kokochashvili, O. I. Leipunskii, P. Ya. Sadovnikov, D. A. Frank-Kamenetskii and K. I. Shchelkin and I thank them here for permission to use the results they obtained. 

Modem Soviet scientific literature is distinguished by the excellent books of K. I. Shchelkin and Ya. K. TVoshin,6 E. S. Shchetinkov,7 D. A. Frank-Kamenetskii,8 K. K. Andreev,9 L. N. Khitrin,10 R. I. Soloukhin,11 L. A. Vulis,12 A. S. Sokolik, 3 and others. All of them were directly influenced by Ya.B. s little 1944 monograph. Many sections of the book are reviewed below in connection with the appropriate articles. 

Consideration of the problem of gas ignition in a plane vessel with two walls of different temperatures was a natural generalization of D. A. Frank-Kamenetskii s theory of thermal explosion.1 At the same time it is physically obvious that the processes at the hot wall play the decisive role, and the solution of the problem introduces essentially new features. 

D. A. Frank-Kamenetskii, Dokl. Akad. Nauk SSSR, 18 (1938) 411. 

A thermal explosion theory as developed by D. A. Frank-Kamenetskii (Ref 5) led to the equation AT = -(Q/A) -B/BTe eCE/R1 >(T-T° > The ignition temp expln limits so ealed agree with those experimentally found for azomethane by Rice (Ref 1), MeNOg by Appin, N20 by Zel dovich and Yakovlev (Ref 4) and for H2S by Yakovlev and Shantarovich (Ref 3). The expl limit ealed for N20 was subsequently found experimentally. With Et azide, the ealed... 

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