This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 6.4. ADIABATIC, ISOCHORIC KINETICS 221 Note finally that it can be shown that D , of dimension N ( N L ), and , of dimension N J , share the same column space, which is of dimension ( N L ); consequently, both matrices map vectors into the same space. 6.3.2 Species dominant: J < ( N L ) Next consider the case in which J < ( N L ). This often arises in models of simple chemistry, for example one or twostep kinetics. The fundamental reaction dynamics are most concisely governed by the J equations which form 1 V d dt = r . (6.153) However, r is a function of the concentrations; one must therefore recover as a function of reaction progress . In vector form, Eq. (6.143) is written as d dt = 1 V d dt . (6.154) Take as an initial condition that the reaction progress is zero at t = 0 and that there are an appropriate set of initial conditions on the species concentrations : = , t = 0 , (6.155) = o , t = 0 . (6.156) Then, since is a constant, Eq. (6.154) is easily integrated. After applying the initialis a constant, Eq....
View Full
Document
 Fall '11
 ParkSou
 Dynamics

Click to edit the document details