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MATLAB Sources to Selected Examples

4. Operation at Limiting Flux

Separation of Pectin from Sugar

Fig. 4.5

Optimal macro-solute concentration during CVD step for different values of ratio wT/wD: c1opt.m

Fig. 4.6

Optimal values of processing time and diluant consumption for different values of weight coefficients wT, wD: parfront.m

Table 4.2

Economically optimal operation of apple juice under limiting flux conditions compared with minimum time, minimum diluant, and traditionally used operations: table.m

Purification of Soybean Water Extracts

Fig. 4.8

Economically optimal, minimum time, and minimum diluant strategies for purification of soybean extracts to prescribed final purity in state diagram of concentrations: states.m

Table 4.3

Economically optimal operation of soybean extract process with prescribed purity of the product compared to other control strategies: table.m

Fig. 4.10

Various control strategies for purification of soybean extracts with fixed final concentrations: sscon.m

5. Perfect Rejection of Both Solutes

5.2.1 Separation of Lactose from Proteins

Fig. 5.1

Separation of lactose from proteins: comparison of minimum time and C- CVD control strategy : cher91.m

Fig. 5.2

Separation of lactose from proteins: analytical minimum time control in concentration diagram : opt.m

Prog. 5.1

Minimum time problem: numerical optimization (dynopt): main.m

Figs. 5.4, 5.5.

Multi-objective operation: analytical solution (states, control, pareto front): parfront.m

5.2.2 Albumin – Ethanol Separation

Fig. 5.7

Analytical minimum time control for Case 1: albc1.m

Fig. 5.8

Analytical minimum time control for Case 2: albc2.m

Fig. 5.9

Analytical minimum time control for Case 3: albc3.m

Figs. 5.10, 5.11

Economically optimal, minimum time and minimum diluant strategies for albumin/ethanol separation for Cases 3, 9: albe.m

Fig. 5.12

Pareto front of optimal values of processing time and of diluant consumption for albumin and ethanol separation (Case 9): albpf.m

6. Perfect Rejection of Macro-Solute

Prog. 6.1

Symbolic derivation of the singular surface: symbolmix.m

Fig. 6.1

Dye - salt separation: optimal operation: lautim.m

Figs. 6.2, 6.3

Radiopaque - ethylene glycol separation: (i) optimal macro-solute concentration during CVD step (ii) optimal values of processing time and diluant consumption - different values of w_T/w_D : copt.m

Fig. 6.4

Radiopaque - ethylene glycol separation: economically optimal, minimum time and minimum diluant strategies: xu.m

Fig. 6.5

Sucrose - salt separation: numerical optimisation with dynopt, Case A: main.m

Prog. 6.2

Sucrose - salt separation: numerical optimisation with dynopt, Case B: main.m

7. Constant Incomplete Rejection of Solutes

7.2.1 Extended Limiting Flux Model

Fig. 7.1

Dependence of optimal singular concentration on rejection coefficient: fol99r1c.m

Fig. 7.2

Minimum time operation with R1 = 1, R2 = 0 and C/CVD optimal modes: exmr1r2cvd.m

Fig. 7.3

Minimum time operation with C/VVD optimal modes: exmr1r2a.m

Fig. 7.4

Operation with C/CVD modes: exmr1r2b.m

Fig. 7.5

Operation with constant concentration modes: exmr1r2c.m

7.2.2 Three Component Separation

Fig. 7.6

Comparison of different control strategies: pep3.m