The structure of ZND detonations

The approximate solution given in equation (18) for the structure of the upstream part of the detonation wave was first derived by Becker [41] 

FIGURE 6.5. Representative variation of flow properties in a detonation wave. 

Since transport effects are neglected in equation (19), the equation does not depend on assumptions 8 and 10 of Section 5.2. Clearly, equation (19) can also be made to apply to a system involving any one-step reaction by suitably modifying the definition of F (x, cp). In fact, since transport effects are negligible, the problem of computing the structure of the downstream portion of the detonation wave for any reaction mechanism merely involves a forward integration of a set of equations of the form 

In view of the range of validity of equations (18) and (19) discussed above, these two equations describe the structure of a ZND detonation involving any one-step reaction and satisfying assumptions 1-8 of Section 5.2. However, a small ambiguity arises in connecting the solutions given in equations (18) and (19). Mathematically, the shock wave extends from 

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