By David H. West and Gregory Yablonsky (Eds.)
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The point m corresponds to the maximum thermodynamically admissible concentration of b. The points l and k represent states of a chemical system with the use of catalysts that provide Equilibrium Thermodynamic Modeling of Dissipative Macroscopic Systems 41 x cmat l y • x eq m x bmat k x dmat Figure 7 Catalyst impact on the attainable state. appropriate mechanisms of processes. Figure 7 shows that the mechanism connected with motion through the point l is more effective, since the Gibbs energy monotonically decreases on the curve ylm.
M. Kaganovich et al. br—the specific (per length unit) pressure loss; Pbr — q and Pq vectors of pressure losses and effective pressures in branches of the “cir cuit tree” q comprising the paths from nodes j = 1, …, m – 1 to the node m, Aq À1 —a matrix of “paths” corresponding to this tree, which is obtained by inversion of the submatrix of matrix A for branches which belong to this fr tree; br r and i —coefficients; e—a unit vector; s—an index of the node for which we find the extreme pressure; k—the index of computational pro cess iteration.
Figure 7 shows that the mechanism connected with motion through the point l is more effective, since the Gibbs energy monotonically decreases on the curve ylm. From the point k that is passed at the competing mechanism of the process the state m proves to be unattainable. Comparative assessment of the indicated mechanisms can be obtained on the basis of the multivariant calculations on model (7)–(12). At first we must solve the problems of maximization of sets of the substances c and d that correspond to the main components of compositions of the reactive mixtures l and k.
Advances in Chemical Engineering by David H. West and Gregory Yablonsky (Eds.)