Zeldovich-von Neumann-Doring

Figure 1. The Non-Equilibrium Zeldovich - von Neumann - Doring (NEZND) Theory of Detonation.

The classical theory of detonation is formulated in the ZND model (Zeldovich, Von Neumann, Doring) assuming that the propagation mechanism of a detonation is ignition by shock-induced adiabatic compression. 

An improvement on the CJ model is the ZND (Zeldovich, von Neumann, and Doring) model, which takes the reaction rate into account (Nettleton 1987, Classman 1996, Lewis and von Elbe 1987). The ZND model describes the detonation wave as a shock wave, immediately fol-... 

The structural model of a detonation wave proposed by Zeldovich, von Neumann, and Doring (ZND model) involves the pressure at the shock front increasing along the Hugoniot curve without chemical reaction until it attains the value at the point of intersection of the Rayleigh line and the Hugoniot curve. 

R = 0 would then extend from 0 to N along the line x = and then follow the parabola h = 0 from to 1. This would correspond to the von Neumann-Doring-Zeldovitch picture of a detonation being a shock wave followed by a flame or reaction zone. For small values of R, the shock and reaction zones are essentially uncoupled. However, for large values of R the von Neumann-Doring-Zeldovich mechanism is no longer followed. 

Reasonable models for the detonation wave structure have been presented by Zeldovich [9], von Neumann [10], and Doring [11], Essentially, they constructed the detonation wave to be a planar shock followed by a reaction zone initiated after an induction delay. This structure, which is generally referred to as the ZND model, will be discussed further in a later section. 

Zeldovich [9], von Neumann [10], and Doring [11] independently arrived at a theory for the structure of the detonation wave. The ZND theory states that the... 

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