WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 15, 2016
A Modified Cubic Equation of State Model and Parameter Optimization in Modeling Supercritical Fluid Solubility
Authors: , ,
Abstract: Cubic equation of state (EOS) is one of most attracting models in modeling solute solubility in supercritical fluid. The traditional implementation in EOS models requires critical parameters and acentric factor of the solute, however, estimating these physical parameters is not a trivia. As a modification of the traditional EOS method, in this paper, we do not estimate critical properties and acentric factor, but consider the energy parameter of solute and the binary interaction parameter in the co-volume term as adjustable parameters. These adjustable parameters are optimized using pattern search (PS) method by minimizing average absolute relative deviation (AARD) between calculated and experimental solubility data. To illustrate the efficiency of our modified model, a comparison with traditional EOS model is presented. The result shows that our modified model gives better performance reflected by lower AARD. Moreover, the optimization method, PS, is compared with the genetic algorithm(GA), and it is found that the former gives better optimizations and more significant reduction of computing times than the latter. Finally, the rationality of the modified model is further discussed.
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Keywords: Supercritical fluid, Solubility, Equation of state, Critical property, Parameter optimization, Pattern search method
Pages: 486-497
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 15, 2016, Art. #45