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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Main Authors: Saeedeh Ketabi, Fakhri Seyedeyn, Hooman Rashidi
Format: Article
Language:English
Published: University of Tehran 2017-05-01
Series:Journal of Chemical and Petroleum Engineering
Subjects:
Online Access:https://jchpe.ut.ac.ir/article_62159.html
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spelling 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
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