Split sequences

Beminger et al. [92] discussed various strategies for splitting three-component and N-component mixtures and applied SWD to mixtures with three and more components. They tried to identify the optimal splitting sequence in a tandem SMB process for the recovery of a component or a group of components with intermediate affinities. 

Figure 3 (a). Micrographs depicting the splitting sequence a) 2h, hydrogen, 500 C. 

Statistical tests performed on the original sequence are not necessarily adequate for the divided sequence. For example, in the leapfrog method correlations M numbers apart in the original sequence become adjacent correlations of the split sequence. 

Split sequencing. The potential splits identified above are compared to decide the best to perform next. For instance, in the case of zeotropic mbctures the split sequencing may be assisted by heuristics. On the contrary, for azeotropic mbctures a more sophisticated approach is necessary, based on Residue Curve Maps. 

Examine the split sequencing. Decide the next split to be performed. 

Simple distillation Relative volatility oc Use heuristics for split sequencing. Not feasible if a< LI. Check thermal stability of components. 

Table 7.29 indicate that the results obtained by shortcut calculations are quite different with those predicted by heuristics (see Table 7.27). It can be seen the sequences can be classified in two groups higher energetic consumption (3, 8, 9) and lower energetic consumption (11,12). The best is the sequence 12 where the first split is indirect removing the most plentiful as bottoms. The second is the sequence 11 that has the same first split. Sequence 12 is only slightly better because 50/50 second split. Third is the sequence 9 based on 50/50 first split, but well behind the first two in term of total duty. The other two sequences gives very close results.

The Hierarchical Approach developed in this chapter incorporates a knowledge-based procedure for the synthesis of separations. This consists of dividing the separation section in three subsystems gas vapour, liquid and solid separations. Each subsystem is further managed by selectors, which makes use of unit operations. Split sequencing is based mainly on heuristics, although may include algorithmic or optimisation techniques. This chapter describe in more detail the synthesis of distillation trains for zeotropic distillations, the non-ideal case being left for the Chapter 9. 

Split sequencing follows the representation sketched in Figure 9.12. Direct sequence gets acetone as distillate in the first split, and heptane as bottom product in the second split. In indirect sequence heptane can be recovered as bottoms from the first split, while acetone is obtained as top distillate from the second split. 

A convincing application of two columns sequence is the split of the azeotrope ethanol (A) / water (B) with tetrahydrofurane (C), as proposed by Stichlmair (1999). Figure 9.19 depicts qualitatively the split sequencing. The entrainer is a low-boiler forming a minimum azeotrope with water (az nbp 64.2 C) below the boiling point of the original water-ethanol azeotrope (azj, nbp 78.2 °C). There is also an azeotrope tetrahydroftirane-ethanol (az, nbp 65.9 C), but this is not essential. Water and ethanol,... 

Various researchers have studied the Cancer Game, including David Epstein, a member of the Department of Information and Computer Science at the University of California, Irvine. He notes that the starting character repeats every four generations. He also believes that the after-split sequence lengths, starting in generation 6, can be described by the recurrences... 

Compute Cancer Game Sequence (CONTINUED) / / CLEAV splits sequence at T-T / scur-j ... 

Lemma 1.5. — Let be a Nisnevich covering of a noetherian scheme S. Then there exists a splitting sequence for... 

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