A Survey on Phase Stability Analysis of Liquid Mixtures using Interval Newton Bisection Algorithm, NRTL Model, SAFT EOS Method

Malashri S; Puneeth S

doi:https://doi.org/10.14445/22315373/IJMTT-V36P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 36 | Number 2 | Year 2016 | Article Id. IJMTT-V36P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V36P517

A Survey on Phase Stability Analysis of Liquid Mixtures using Interval Newton Bisection Algorithm, NRTL Model, SAFT EOS Method

Malashri S, Puneeth S

Abstract

The phase stability and phase split problems can be formulated as minimization problems, or as equivalent nonlinear equation solving problems. There are several versions of this two-stage approach With the choice of the proper thermodynamic state functions, the two stage framework can be applied to phase equilibrium problems with various types of specifications (e.g. Constant temperature and pressure, constant temperature and density, isentropic, isenthalpic, etc.). For determining phase equilibrium at constant temperature and pressure, the case considered here minimum in the total Gibbs energy of the system. Phase stability analysis may be interpreted as a global optimality test that determines whether the phase being tested corresponds to a global minimum in the total Gibbs energy of the system. An alternative approach for solving the phase stability problem is the use of interval analysis which uses an interval Newton/generalized bisectionAlgorithm, NRTL Model and SAFT method.

Keywords

Phase Stability, Interval Analysis, Interval Newton/Generalised Bisection Algorithm, SAFT method.

References

[1] McDonald, C. M. and Floudas, C. A. (1995b). “Global optimization for the phase and chemical equilibrium problem: Application to the NRTL equation”. Comput.Chem. Eng.
[2] Dr.HaticeGecegormez, Dr Y. Demirel, “Phase stability analysis using interval Newton method with NRTL model” Chemical and Biomolecular Engineering Research and Publications.
[3] Franz Durst “Fluid Mechanics Developments and Advancements in the 20th Century” Institute of Fluid Mechanics, University of Erlangen-Nuremberg Cauerstr. 4, D-91058 Erlangen, Germany.
[4] H. Zhang, A. Bonilla-Petriciolet, G.P. Rangaiah “A Review on Global Optimization Methods for Phase Equilibrium Modeling and Calculations” The Open Thermodynamics Journal, 2011.
[5] Gang Xu, Joan F. Brennecke and Mark A. Stadtherr “Reliable Computation of Phase Stability and Equilibrium from the SAFT Equation of State”.

Citation :

Malashri S, Puneeth S, "A Survey on Phase Stability Analysis of Liquid Mixtures using Interval Newton Bisection Algorithm, NRTL Model, SAFT EOS Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 36, no. 2, pp. 119-123, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V36P517