Landau-Stanyukovich equation

N) C.L. Mader, "Detonation Properties of Condensed Explosives Using BeCker-Kistiakowsky-Wilson Equation of State , LASL Rept LA-2900(1963) O) M. Lutzky, "The Flow Field Behind a Spherical Detonation in TNT Using the Landau-Stanyukovich Equation of State for Detonation Products , USNavalOrdnanceLaboratory, White Oak, Md, NOLTR 64-40(1964) (The equation discussed in Rept is the one modified by Zel dovich Kompaneets and is referred to by Lutzky as "LSZK Equation of State ) Oi) M.L. Wilkins, Univ of Calif, LawrenceRadLab, Livermore, Calif, Rept UCRL-7797(1964) P) H. Hurwitz, "Calculation of the Detonation Parameters With... 

Field Behind a Spherical Detonation in TNT Using the Landau-Stanyukovich Equation... 

Lutzky (Ref 14) determined detonation parameters for TNT using the Landau-Stanyukovich equation of state modified by... 

Flow Field Behind a Spherical Detonation in TNT, Using the Landau-Stanyukovich Equation of State , USNavalOrdnanceLa-boratory, White Oak, NOLTR 64-40, Dec 1964 5) C.G. Dunkle, private communi-... 

Field Behind a Spherical Detonation in TNT Using the Landau—Stanyukovich Equation of State for Detonation Products [See also under Detonation (and Explosion), Spherical and under Detonation, Spherical Wave for the Gaseous Products of Solid Explosives in]... 

I2) Landau-Stanyukovicb Ze/ dovicb-Kompaneets (LSZK). Derivation of this equation from that of Landau Stanyukovich is described in the book of Zel dovich St Kompaneets (Ref 12b, pp 223 28). A later description is given by Lutzky (Addnl Ref O) ... 

See also Landau-Stanyukovich-Zel dovich-Kompaneets Equation of State)... 

Rankine-Hugoniot equations 181-87 (Equations of state which include among others the following Jones Miller, Lennard-Jones Devonshire, Halford-Kistiakowsky-Wilson, Joffe its modification by Su Chang, Taylor, Kihara Hikita, Travers, Cook, Kistiakowsky-Wilson-Brinkley and Polytropic equations) 194 (Landau-Stanyukovich and Hirschfelder et al equations of state 11) J.F. Roth, Explosiv-stoffe 1958, 50 (Abel sche Zustandsgleichung fur die Detonation) 12) Cook (1958), 37 (General equation of state) 62-3 [Halford-Kistiakowsky-W ilson-Brinkley equation of state, (listed as K-H-W-B equation of state)] ... 

Investigation at the Chemical Physics Institute of the Academy of Sciences has shown for large chge diameters of condensed expls, pressures of the order of 3.1C)5kg/cm2 arise in the detonation wave) 223 [Calcn of pressure from Van der Vaals equation of state p=RT/(v-b)] 224 (Assumption of Landau Stanyukovich that in the explosion products of Landau 8t Stanyukovich for a density in excess of 1 g/cm2 the main part of pressure is of elastic origin and depends only on the density of expln products, but not on the temp) 217 (Effect of pressure on thermal dissociation is discussed. In the case of condensed expls the pressure indirectly affects the molecular separation and alters the rate of chemical reaction. Experiments of Yu.N. Riabinin have shown that the reaction rate was diminished at a high pressure, up to 5.10 kg/cm2)... 

Jones developed an equation of the Griin-eisen type, based on the Einstein model of a solid, of the form p=Ae av— B+fRT, where a, A, B and f are constants. Lutzky, however, preferred to use an equation based on the discussion by Zel dovich Kompaneets (Ref 21) of the equation derived by Landau Stanyukovich (Ref 2). In their view, the comparatively stable molecules of the detonation products are in a highly compressed state, being at a density over twice that of the liquid gases. The predominant part of the pressure is due to elastic repulsion. 

Turning to the detonation of condensed EM we note that in this case the study of the equation of state of a dense gas in which repulsion of molecules is more important than their thermal motion turned out to be non-trivial (see the fundamental work by L. D. Landau and K. P. Stanyukovich).29 Water-filled EM were studied by Yu. B. Khariton.30 At present A. N. Dremin is developing ideas on the specific influence of a shock wave on the kinetics of reaction in an EM.31 For gas-dispersion systems the structure of detonation waves has become the subject of numerous studies related to explosions of coal dust husks in grain elevators, gas suspensions of dust in wood processing, etc.32,33 34 5 Works on gas suspensions have also been published abroad.36,37 In gas suspensions we may expect that the reaction rate is determined by diffusion and depends weakly on the temperature. 

Merzhanov Dubovitskii (Ref 4) formulated a general theory for the thermal explosion of condensed expls, which takes into consideration the removal of particles from the reaction volume. This theory makes it possible to calc all the basic characteristics of thermal explosion such as critical conditions, depth of preexplosion decompn induction period "Detonation is Condensed Explosives is the title of a book by J. Taylor (Ref 3) who discusses in detail the various aspects of the subject. See also studies reports listed as Refs 2, 5 6 Refs 1)L.D.Landau K.P.Stanyukovich, Dokl-AkadN 46, 396-98 (1945) 47, No 4, 273-76 (1945) CA 40, 4523 4217 (1946) 2)G.Morris H.Thomas, "On the Thermochemistry and Equation of State of the Explosion Products of Condensed Explosives , Research (London)... 

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