Chapman Jouguet postulate

Chapman-]ouguet Hypothesis. See Detonation, Chapman-Jouguet Postulate or Hypothesis... 

Detonation, Chapman-Jouguet Postulate or Chopman-Jouguet Hypothesis. The CJ postulate, [according to Cook (1958), p 66], rests entirely on the fact that it agrees with experimental observations. No complete theoretical proof of it has been given. However, the same considerations which led to the adoption of this postulate exist for the laws of thermodynamics... 

Chapman Jouguet postulated that the detonation velocity D is given by ... 

Cook also discusses in the same Chapter the Chapman-JoUguet Postulate (pp 66-8), Detonation Reaction Zone in Gases (pp 68-75), Reaction Zone in Nonideal Detonation in... 

CA 44, 1032(1950) (Penetrating or piercing jet theory of deton) 39) S.R. Brinkley Jr, "The Theory of Detonation Process , pp 83-8 in the "Summary Technical Report Division 8, NDRC , Vol 1 (1946). It includes Riemann formulation (pp 83-4 86) Rankine-Hugoniot condition ( 84 86) Chapman-Jouguet postulate (84) Becker semiempirical equation of state (85) Rayleigh, solution of the Riemann equation (86) and Hydro-thermodynamic theory, applications (87-8) 40) W. Loring H. 

Definition of deton, expln de-flgrn) 44-8 (Ideal deton) 48-50 (Nonideal deton) 50-7 (Transient and unstable deton waves) 57-60 (The jumping deton) 61-90 (Thermohydrodynamic theory of deton) 61-6 (Equation of state in deton of condensed expls) 66-8 (The Chapman-Jouguet postulate) 68-75 (The deton reaction zone in gases) 75-7 (Reaction zone in nonideal deton in gases) 77-9 (Reaction zone in condensed expls) 79-87... 

Detonation, Chapman-Jouguet postulate or hypothesis 4 D231... 

Combining the above equations and considering the equation resulting from the Chapman-Jouguet postulate... 

Pukhnachev (Ref 26) made a stability analysis of Chapman-Jouguet detonations to clarify the development of spinning detonations. The phenomena leading to them cannot be described by solution of simple hydrodynamic and reaction-kinetic equations for flat detonation fronts. The analysis was based on previous detonation stability analyses by Shchelkin et al with constant supersonic flow postulated along the z-axis at z <0. There is a sharp discontinuity at z=0, followed by the combustion zone. 

In practice, this is equivalent to a reduction in the heat of reaction with consequent, drop in wave velocity. From such considerations it would appear that the highest steady- wave velocity will be realized only if the sum. of sound and fluid velocities at the end of the steady- zone is equal to the wave- speed itself. This condition, postulated by D. -L. Chapman in 1899 and by E. Jouguet in 1904, is known as the Chapman-Jouguet (C-J) condition. In further discussion, Taylor (pp 69ff), following the approach developed by E. Jouguet in 1917 and by R. Becker in 1922, showed that the C-J condition does hold at one point (pi,vj), of all those defined by eq (VI.6) (Ref 26, pp 68-9)... 

The gradient of the Rayleigh line is detemiined by the detonation velocity of the explosive. In agreement with the postulate of Chapman and Jouguet, this Rayleigh line is also a tangent to the shock adiabat of the detonation products at exactly the point which corresponds to the end of the chemical reaction (V2, p2). This point is therefore also referred to as the Chapman-Jouguet Point (C-J point). 

Accdg to S.R. Brinkley Jr (Ref 39, p 84-R), Chapman (Ref 5) and Jouguet (Refs 6 7) postulated that the detonation velocity is the minimum velocity compatible with. the other consitions and that it. can be expressed as ... 

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