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Scalar vectors conserved-constant

The example reactions considered in this section all have the property that the number of reactions is less than or equal to the number of chemical species. Thus, they are examples of so-called simple chemistry (Fox, 2003) for which it is always possible to rewrite the transport equations in terms of the mixture fraction and a set of reaction-progress variables where each reaction-progress variablereaction-progress variable —> depends on only one reaction. For chemical mechanisms where the number of reactions is larger than the number of species, it is still possible to decompose the concentration vector into three subspaces (i) conserved-constant scalars (whose values are null everywhere), (ii) a mixture-fraction vector, and (iii) a reaction-progress vector. Nevertheless, most commercial CFD codes do not use such decompositions and, instead, solve directly for the mass fractions of the chemical species. We will thus look next at methods for treating detailed chemistry expressed in terms of a set of elementary reaction steps, a thermodynamic database for the species, and chemical rate expressions for each reaction step (Fox, 2003). [Pg.266]

Figure 5.5. The conserved-scalar vector ipc can be partitioned by a linear transformation into two parts Figure 5.5. The conserved-scalar vector ipc can be partitioned by a linear transformation into two parts <pcv, a conserved-variable vector of length N m, and 92cc = 0, a conserved-constant vector of length N — N m. The linear transformation depends only on the matrix of initial/boundary conditions Y1) 1. and thus is independent of x and l.

See other pages where Scalar vectors conserved-constant is mentioned: [Pg.179]    [Pg.160]    [Pg.204]    [Pg.187]    [Pg.168]    [Pg.66]    [Pg.1356]    [Pg.271]    [Pg.375]   
See also in sourсe #XX -- [ Pg.159 , Pg.160 , Pg.171 ]

See also in sourсe #XX -- [ Pg.159 , Pg.160 , Pg.171 ]




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