Use of homotopy-continuation method in stability analysis of multiphase, reacting systems

Computers and Chemical Engineering

Volumn 24, Issue 8, 2000, Pages 1997-2008

  Jalali Farahani, F ^a   Seader, J D ^b  

^a UNIVERSITY OF TEHRAN   (Iran)

^b Department of Electrical and Computer Engineering   (United States)

Author keywords

CPE problems; Homotopy continuation method; Stability analysis

Indexed keywords

CHEMICAL REACTIONS; COMPUTATIONAL METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS; STABILITY CRITERIA; VECTORS;

HOMOTOPY CONTINUATION METHOD; JACOBIAN MATRIX; NEWTON METHOD; STABILITY ANALYSIS;

PHASE EQUILIBRIA;

ARTICLE; CHEMICAL REACTION; EQUILIBRIUM CONSTANT; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; METHODOLOGY; REACTION ANALYSIS; THERMODYNAMICS;

EID: 0034284390     PISSN: 00981354     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0098-1354(00)00600-1     Document Type: Article

References (44)

1. Multicomponent three-phase azeotropic distillation. 2. Phase-stability and phase-splitting algorithms
2. Calculation of simultaneous chemical and phase equilibria in nonideal systems
3. Computation of phase and chemical equilibria
4. Methanol synthesis reactions: Calculations of equilibrium constant using equations of state
5. Ab inition equation of state phase equilibria computations via path continuation
6. Quasi-Newton methods, motivation and theory
7. AUTO 86 User Manual, Software for Continuation and Bifurcation Problems in Ordinary Differential Equations, May 1996
8. Distillation models for two partially immiscible liquids
9. Computing azeotropes in multicomponent mixtures
10. Computation of phase and chemical equilibria: Part I
11. Computation of phase and chemical equilibria: Part II
12. Computation of phase and chemical equilibria: Part III
13. A method for the simultaneous phase equilibria and stability calculations for multiphase reacting and non-reacting systems
14. The calculation of critical points
15. On the geometry of chemical reaction and phase equilibria
16. Numerical solution of bifurcation and nonlinear eigenvalue problems
17. Heterogeneous azeotropic distillation: Homotopy-continuation methods
18. Algorithm 502, dependence of solution of nonlinear systems on a parameter
19. Computation of complex equilibrium by nonlinear optimization
20. Global optimization for the phase stability problem
21. A generic global optimization algorithm for the chemical and phase equilibrium problem
22. The isothermal flash problem: Part I: Stability
23. Computation of multiphase equilibrium phenomena with an equation of state
24. Computation of multicomponent phase equilibria. Part III. Multiphase equilibria
25. A new two constant equation of state
26. Calculation of solid-liquid equilibria in aqueous solutions of nitrate salts using an extended UNIQUAC equation
27. Role of continuation in engineering analysis
28. Three phase flash calculations using free energy minimization
29. Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy
30. Extension of the Trebble-Bishnoi equation of state to fluid mixtures
31. Path-following approaches to the solution of multicomponent, multistage separation process problems
32. Algorithm 777: HOMPACK90: A suite of Fortran 90 codes for globally convergent homotopy algorithms
33. Homotopy continuation methods for computer-aided process design
34. Algorithm for three-phase equilibrium calculations