Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming
Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and...
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doaj-bab3400522a54237a60ae43dd88adab82020-11-24T22:25:12ZengUniversity of TehranJournal of Chemical and Petroleum Engineering2423-673X2423-67212017-05-015111710.22059/JCHPE.2017.62159Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric ProgrammingSaeedeh Ketabi0 Fakhri Seyedeyn1Hooman Rashidi2Department of Management, University of IsfahanDepartment of Chemical Engineering, University of IsfahanPayam Noor University, SemiromGeometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its computational method are presented. Also, for a chemical equilibrium, as an example, the concentrations of species for the ammonia synthesis reaction are determined. The obtained results are compatible with the experimental data available in the literature. This leads to the application of the geometric programming to estimate the concentrations in the equilibrium conditions for reactions where the experimental data are not available.https://jchpe.ut.ac.ir/article_62159.htmlChemical equilibriumGibbs free EnergyMathematical ModelingOptimization |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Saeedeh Ketabi Fakhri Seyedeyn Hooman Rashidi |
spellingShingle |
Saeedeh Ketabi Fakhri Seyedeyn Hooman Rashidi Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming Journal of Chemical and Petroleum Engineering Chemical equilibrium Gibbs free Energy Mathematical Modeling Optimization |
author_facet |
Saeedeh Ketabi Fakhri Seyedeyn Hooman Rashidi |
author_sort |
Saeedeh Ketabi |
title |
Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming |
title_short |
Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming |
title_full |
Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming |
title_fullStr |
Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming |
title_full_unstemmed |
Estimation of Concentrations in Chemical Systems at Equilibrium Using Geometric Programming |
title_sort |
estimation of concentrations in chemical systems at equilibrium using geometric programming |
publisher |
University of Tehran |
series |
Journal of Chemical and Petroleum Engineering |
issn |
2423-673X 2423-6721 |
publishDate |
2017-05-01 |
description |
Geometric programming is a mathematical technique, which has been developed for nonlinear optimization problems. This technique is based on the dual program with linear constraints. Determination of species concentrations in chemical equilibrium conditions is one of its applications in chemistry and chemical engineering fields. In this paper, the principles of geometric programming and its computational method are presented. Also, for a chemical equilibrium, as an example, the concentrations of species for the ammonia synthesis reaction are determined. The obtained results are compatible with the experimental data available in the literature. This leads to the application of the geometric programming to estimate the concentrations in the equilibrium conditions for reactions where the experimental data are not available. |
topic |
Chemical equilibrium Gibbs free Energy Mathematical Modeling Optimization |
url |
https://jchpe.ut.ac.ir/article_62159.html |
work_keys_str_mv |
AT saeedehketabi estimationofconcentrationsinchemicalsystemsatequilibriumusinggeometricprogramming AT fakhriseyedeyn estimationofconcentrationsinchemicalsystemsatequilibriumusinggeometricprogramming AT hoomanrashidi estimationofconcentrationsinchemicalsystemsatequilibriumusinggeometricprogramming |
_version_ |
1725758846180261888 |