Two Possible Weak Detonation Solutions for Given P and

Thus the sound speed along the piston for this solution of the flow will have the value 

35 up 2 + c2 an pressure pp and ensity will have appropriate values of state, such as detd by eq  

Another possible flow for weak detona tion is that of Fig 2b, where a different detonation front curve W gives values u and c2 along the characteristics in the sector between W and Q.0. For this flow the value of Cp along P will be Cp =Up—u2 +c2 and the value of p along P will also be different from that of the first solution. One of the possible flows is that for which both the front and the first sound wave move with sonic velocity relative to the gas behind the front. Such values are designated by a subscript, so that for this flow u2 = (u2) and c2 (c2),. ie hypothesis that the flow which, occurs is the C-J detonation is the Chapman-Jouguet hypothesis. For such.a detonation, equation 3.2,12 (p 140 of Ref 2) applies and W C coincide, as is shown in Fig 3. 

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