By Larry Davis
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Extra resources for U-2 Spyplane in Action
Regions I and II correspond to the detonation branch of the R-H curve. On AJBC, P2> PI and V2< VI. so that the final states correspond to a compressive shock in both regions I and II. The properties of this branch are most readily described by constructing a secant through 0, which intersects the final R-H curve at Sand W. , defined by the slope, tan a, of the secant, there are in general two solutions for the end states Sand W. The solution corresponding to S is the higher pressure and consequently is referred to as a strong detonation, whereas that corresponding to W is denoted a weak detonation.
The reaction is represented by a single forward-rate process, gradually progressing to completion some distance behind the precursor shock. The extent of reaction is measured in terms of a reaction coordinate, g, which has the value 0 immediately behind the front and unity at the plane at which reaction is complete. 12 between the control plane 1 and a plane characterized by the fraction g, where the energy released is qg, gives a corresponding R-H curve. Thus, for each plane there is an R-H curve, and the complete reaction zone is described by a family of R-H curves.
1 Comparison of experimental and calculated C-J velocities in diluted oxyhydrogen mixtures . 2 Comparison of experimental and C-J velocities calculated from more accurate thermochemical data . 8 a wide range of dilutions. A reassessment of the theoretical values using more accurate thermochemical data resulted in improved agreement, to better than ±2%. 2. 8%. Although agreement between theory and experiment for stoichiometric mixtures appears impressively good, it is generally accepted that the theory considerably overestimates velocities in mixtures nearer to the limits of detonability.