Kistiakowsky-Halford-Wilson-Brinkley

T = absolute temperature, d=an arbitrary value in °K, k=covolume constant, T2 =absol temp of detonation and p2 —pressure of detonation, a=constant originally assigned as —1/3, but later changed to -1/4 b 0.3 d=0 and e = base of natural logarithm. The covolume constant k was taken as an additive covolume constant by summing the values for each type of molecule weighted by its mole fraction. 

Fickett (Addnl Ref E) have re-examined it in the light of new experimental data on detonation pressure and on the variation of detonation velocity D with loading density P0 for several RDX/TNT mixtures. They proposed the following slightly modified version of KW equation of state  

Vg = molar gas volume R=gas constant T = absolute temperature F = function X =mole fraction of component i, and the sum extends over all chemical components of the gaseous mixture. The quantities a, /3, k, Q, kj are empirical constants, the k having the nature of covolumes (ie, a sort of excluded volume). 

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Cj) Cook Equation of State. See under Kistiakowsky-Halford-Wilson-Brinkley Equation of State and in Ref 12, p 63... 

HKWB) Equation of State. See Kistiakowsky-Halford-Wilson-Brinkley (KHWB) 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)] ... 

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