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Each column of this sequence is designed using the Fenske-Underwood-Gilliland (FUG) procedure for multicomponent distillation with the shortcut method [4, 16]. Figure 2 Equivalent configuration of a Petlyuk-type column for separating a ternary mixture.
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Again by, c is equivalent to (c') if and only if d and (d') are equivalent configurations of M. Thus we need to use the oracle once.
The equivalent configuration for separating three components is shown in Figure 2; it contains a sequence of three columns.
3. How to take advantage of thermodynamically equivalent configurations to synthesize more operable configurations.
A numerical tornado simulator was developed, which has the equivalent configuration as that of the laboratory experiment.
In the method proposed in this work, the recovery fractions are established by an optimization problem in which the total number of theoretical stages of the equivalent configuration is minimized and the composition of the output streams are restricted in order to reach their desired value.
Then, the conventional EPRI J-estimation procedure is extended to calculate J values of the equivalent configuration with oval cross-section converted from the welded clad pipe using the ESSRM.
Separation fractions are established in the equivalent configuration by minimizing the total sum of the theoretical stages and restricting the composition of the output streams to a desired value.
The main tool for the solution is the use of column reduction (elimination of variables by reducing their coefficients to zero) to obtain an equivalent configuration.
The present paper summarizes recent results and presents some new ones using an equivalent feedback configuration of the ordinary differential equation system and a graphical approach to study Hopf bifurcations.
A procedure to find these equivalent configurations is given.
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