Attainable region theory

AR theory is a method to help define the best reactor flowsheet using graphical techniques for a desired duty or objective function.

[1][2] The initial concept of an attainable region for chemical processes was proposed by Fritz Horn in 1964, where he believed in geometric methods to improve process design.

[3] These ideas were later refined and made specific to chemical reactors by co-developers David Glasser, Diane Hildebrandt,[4] and Martin Feinberg.

[3] The AR is defined as the collection all possible outcomes for all conceivable reactor combinations.

[5] Geometrically, the AR may (for instance) be represented as a convex region in state space representing all possible outlet compositions for all reactor combinations.

Simulated line graph of two sets of composition of two substances (Ca and Cb) obtained using attainable region theory. Desired optimal region circled.