Reactions in unsteady, three-dimensional flow

Let us now consider the unsteady, three-dimensional flow of a homogeneous reacting fluid with negligible transport properties. In view of the simplifications that arise when transport effects are absent (see Section 4.2.1), equations (l-l)-(l-4) become 

In order to illustrate most easily the mathematical properties of (45)-(48), it is convenient to write equations (45) and (47) in alternative forms. 

When the same kind of reasoning used in deriving the expression for dh, employed in obtaining equation (10) in Section 4.2, is applied to equation (A-3), we find 

Substituting this relationship and equation (45) into equation (47) gives 

Reactions in Flows with Negligible Molecular Transport 

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