By David H. West and Gregory Yablonsky (Eds.)
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Additional info for Advances in Chemical Engineering
This constraint solution to problem (76)–(80) shifts from x~ ext to xext (inter section of the straight line kx2 = c with the boundary of the unattainability zone near the vertex A3). It is seen by sight that xext is somewhat distant from the vertex A3 (the point of maximum concentration of x3 with the only constraint of the material balance) than ~x ext and hence the mole content of the target product in xext is lower than in ~x ext . Even very short interpretation of the problem allows a most important advantage of MEIS to be indicated, namely its capability to choose and determine the value of the subjective parameter of order (Klimontovich, 1997) of the modeled system.
Certainly, determination of the composition of vectors x and y is also connected with solution of a series of complex problems. Appreciable errors in calculations can be caused by the incomplete list of the vector x components. If the modeled system has a gas phase, theoretically this list can reach astronomic sizes, since in this case xeq is an interior point of the polyhedron of the material balance2, which in a general case implies a complete set of substances formed from the elements of components y.
The usefulness of this idea undoubtedly deserves further scrutiny. The second method of excluding time variable from (10) is based on thermodynamic analysis of kinetic equations suggested by Horn (1964; Horn and Jackson, 1972), Feinberg (1972, 1999; Feinberg and Hildebrant, 1997; Feinberg and Horn, 1974), Gorban, and other authors. , replacement of coordinates by potentials and further substitution of the transformed sides into the expression for the derivative of the total characteristic function of the considered system with respect to time .
Advances in Chemical Engineering by David H. West and Gregory Yablonsky (Eds.)