An inquiry into the applicability of Kantorovich’s idea to the thermodynamic optimization |
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| Affiliation: | 1. School of Physics & Electronic Sciences, Guizhou Normal College, Guiyang 550018, China;2. College of Physics and Electronic Information, China West Normal University, Nanchong 637002, China;3. National Key Laboratory for Shock Wave and Detonation Physics Research, Institute of Fluid Physics, Chinese Academy of Engineering Physics, Mianyang 621900, China;1. Departamento de Métodos Matemáticos e de Representación, Universidade da Coruña, Campus de Elviña, 15192 A Coruña, Spain;2. Laboratory of Multi-scale Mathematical Modeling, Department of Mathematical Physics, Ural Federal University, 620000 Ekaterinburg, Russia;3. Friedrich-Schiller-Universität Jena, Physikalisch-Astronomische Fakultät, D-07743 Jena, Germany |
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| Abstract: | A feasible region is employed to describe unknown parameters in thermodynamic models. The method is based on interval estimation of experimental observations, and it is applied to thermodynamic optimization of liquid phase in Ag–Mg system. A final feasible region is an overlapping area among all feasible regions calculated from different groups of data. A discussion of computational advantages on this method suggests that it is a promising method for parameter estimation, but its limitations require more studies on problems such as non-linear inequalities, multi-dimensional visualization and uncertainties in experimental conditions. |
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| Keywords: | Feasible region Interval method Thermodynamic optimization |
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