Reaction Attainable Region

Hildebrandt, D., Glasser, D., and Crowe, C. (1990). Geometry of the attainable region generated by reaction and mixing With and without constraints. Ind. Eng. Chem Res. 29, 49-58. 

Horn, F. (1965). Attainable and non-attainable regions in chemical reaction technique, in Third European Symposium on Chemical Reaction Engineering Pergammon Press London, 293-302. 

Remark 1 Note that the borderlines between the three main approaches are not necessarily distinct. For instance, the targets in (ii) can be viewed as heuristics or rales that simplify the combinatorial problem and allow for its decomposition into smaller, more tractable problems (see chapter on heat exchanger network synthesis via decomposition approaches). The optimization approach (iii) can formulate thermodynamic targets, or targets on the attainable region of reaction mechanisms as optimization models, and can either utilize them so as to decompose the large-scale problem or follow a simultaneous approach that treats the full-scale mathematical model. The first... 

Nicol W, Hemier M, Hildebrandt D, Glasser D. The attainable region and process synthesis reaction systems with external cooling and heating. Chem Eng Sci 2001 56 173-191. 

Fig. 2.4. The conversion diagram, stoichiometrically attainable region and reaction rate vector.

Nisoli et al. [22] have studied the attainable regions for this reaction system with simultaneous distillative separation. These authors found an immiscible region between water and DME, which shrinks as the pressure increases. The PSPS of this system was calculated based on the VLE parameters given in the studies of Nisoli et al. [22]. Water was chosen as the reference component and DME as independent variable to represent the system ... 

To illustrate this concept, consider the attainable region for the following series reaction ... 

Horn, F. "Attainable Regions in Chemical Reaction Technique, in "Third European Symposium on Chemical Reaction Engineering. Pergamon. London, 1964. 

New design methodologies for chemical reaction systems try to go beyond the classical CSTR and PFR models. The systematic methods developed so far are based on the concept of Attainable Region and on Mathematical Programming (see Chapter 8). 

The AR method has been extended to more complex system, as non-isothermal reactions, catalytic reactions, polymerisation reactors, or combination with separations. Other important applications of Attainable Region are in the field of optimisation and planning of experiments. More information can be found by consulting the above cited website. 

Hildebrandt, D., D. Glasser, C. Crowe, 1990, The geometry of attainable region generated by reaction and mixing, I EC Research, 20(1), 49-58... 

We begin by describing a simple example that demonstrates the advantages gained by combining reaction and separation. These advantages are represented in terms of the attainable region. 

Relatively little has been published on the attainable region for reaction combined with separation. One of the first papers applied the concept of attainable region to find feasible compositions for systems with simultaneous reaction and... 

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