Targeting optimum resource allocation using reverse problem formulations and property clustering techniques |
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Authors: | Fadwa T. Eljack Ahmed F. Abdelhady Mario R. Eden Frederico B. Gabriel Xiaoyun Qin Mahmoud M. El-Halwagi |
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Affiliation: | aDepartment of Chemical Engineering, Auburn University, Auburn, AL 36849-5127, USA;bDepartment of Chemical Engineering, Texas A&M University, College Station, TX 77843-3122, USA |
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Abstract: | Decoupling the constitutive equations from the balance and constraint equations allows for reformulating a conventional forward problem into two reverse problems. The first reverse problem is the reverse of a simulation problem, where the process model is solved in terms of the constitutive (synthesis/design) variables instead of the process variables, thus providing the synthesis/design targets. The second reverse problem (reverse property prediction) solves the constitutive equations to identify unit operations, operating conditions and/or products by matching the synthesis/design targets. Visualization of the problem is achieved by employing recently developed property clustering techniques, which allows a high-dimensional problem to be visualized in two or three dimensions. The clusters by definition satisfy intra-stream and inter-stream conservation through linear “mixing” rules, which allows for the development of consistent additive rules along with their ternary representation. |
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Keywords: | Reverse problem formulation Property integration Property clusters Visualization |
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