Download Advances in Chemical Engineering by David H. West and Gregory Yablonsky (Eds.) PDF

By David H. West and Gregory Yablonsky (Eds.)

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In (67) w is the fluid speed. When Khasilev studied mathematical properties of the problems on choosing the vectors x and Pbr (d) (Khasilev, 1957), he varied the type of equations (67) based on the exponent change at w and x from unity (a laminar mode of fluid flow) to two (a turbulent mode). He established that the functions F and Fi are concave along the axes xi and convex along the directions Pbr (on the assumption that 0 £  £ 1 and 0 £  £ 1). Hence, i problem (58)–(65) does not belong to the CP.

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. Then taking the obtained extremal states as initial the problems of maximizing b must be solved.

M. Kaganovich et al. 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.

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