267
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

VOLUME-BASED THERMODYNAMICS GLOBAL PHASE STABILITY ANALYSIS

, &
Pages 1194-1216 | Published online: 25 Jan 2007

References

  • Balogh , J. , Csendes , T. , and Stateva , R. P. ( 2003 ). Application of a stochastic method to the solution of the phase stability problem: Cubic equations of state , Fluid Phase Equilib. , 212 , 257 – 267 [CSA]
  • Barron , C. and Gomez , S. ( 1991 ). The exponential tunneling method , Technical Report , IIMAS , 1 ( 3 ) [CSA]
  • Byrd , R. H. , Lu , P. , Nocedal , J. , and Zhu , C. ( 1995 ). A limited memory algorithm for bound constrained optimization , SIAM J. Sci. Comput. , 16 , 1190 – 1208 [CROSSREF] [CSA]
  • Castellanos , L. and Gomez , S. ( 1998 ). An implementation of the tunneling methods for bound constrained global optimization , Technical Report , IIMAS [CSA]
  • Esposito , R. O. , Castier , M. , and Tavares , F. W. ( 2000 ). Calculation of thermodynamic equilibrium in systems subject to gravitational fields , Chem. Eng. Sci. , 55 , 3495 – 3504 [CROSSREF] [CSA]
  • Gibbs , J. W. ( 1873 ). A method of geometrical representation of the thermodynamic properties of substances by mean of surfaces , Trans. Conn. Acad. , 2 , 382 – 404 [CSA]
  • Gomez , S. and Levy , A. V. ( 1982 ). The tunneling method for solving the constrained global optimization problem with several non-connected feasible regions , Lect. Notes Math. , 909 , 34 – 47 [CSA]
  • Gomez , S. and Romero , D. ( 1994 ). Two global methods for molecular geometry optimization , Prog. Math. , 121 , 503 – 509 [CSA]
  • Gomez , S. , Levy , A. V. , and Calderon , A. ( 1987 ). A global zero residual least squares method , Lect. Notes Math. , 1230 , 1 – 10 [CSA]
  • Gomez , S. , Keeping , B. , and Pantelides , C. ( 1998 ). Tunneling Methods for the Time Optimal Control of High Dimensional Systems, unpublished manuscript, Imperial College , London .
  • Gomez , S. , Solorzano , J. , Castellanos , L. , and Quintana , M. I. ( 2001a ). Tunneling and genetic algorithms for global optimization , in: Advances in Convex Analysis and Global Optimization , eds. N. Hadjisavvas and P. M. Pardalos , 553 – 567 , Kluwer Academic, Dordrecht .
  • Gomez , S. , Gosselin , O. , and Barker , J. W. ( 2001b ). Gradient-based history-matching with a global optimization method , SPE J. , 6 , 200 – 208 [CSA]
  • Halldorsson , S. and Stenby , E. H. ( 2000 ). Isothermal gravitational segregation: Algorithms and specifications , Fluid Phase Equilib. , 175 , 175 – 183 [CROSSREF] [CSA]
  • Heidemann , R. A. and Khalil , A. M. ( 1980 ). The calculation of critical points , AIChE J. , 26 , 770 – 778 [CROSSREF] [CSA]
  • Hua , J. Z. , Brennecke , J. F. , and Stadtherr , M. A. ( 1998 ). Enhanced interval analysis for phase stability: Cubic equation of state models , Ind. Eng. Chem. Res. , 37 , 1519 – 1527 [CROSSREF] [CSA]
  • Levy , A. V. and Gomez , S. ( 1985 ). The tunneling method applied to global optimization , in: Numerical Optimization , eds. P. T. Boggs , R. H. Byrd , and R. B. Schnabel , 213 – 244 , SIAM , Philadelphia .
  • Levy , A. V. and Montalvo , A. ( 1985 ). The tunneling method for global optimization , SIAM J. Sci. Stat. Comput. , 6 , 15 – 29 [CROSSREF] [CSA]
  • Michelsen , M. L. ( 1982 ). The isothermal flash problem. Part I: Stability , Fluid Phase Equilib. , 9 , 1 – 19 [CROSSREF] [CSA]
  • Michelsen , M. L. ( 1999 ). State function based flash specifications , Fluid Phase Equilib. , 158–160 , 617 – 626 [CROSSREF] [CSA]
  • Nagarajan , N. R. , Cullik , A. S. , and Griewank , A. ( 1991a ). New strategy for phase equilibrium and critical point calculations by thermodynamic energy analysis. Part I: Stability analysis and flash , Fluid Phase Equilib. , 62 , 191 – 210 [CROSSREF] [CSA]
  • Nagarajan , N. R. , Cullik , A. S. , and Griewank , A. (1991b). New strategy for phase equilibrium and critical point calculations by thermodynamic energy analysis. Part II: Critical point calculations, Fluid Phase Equilib. , 62, 211–223 [CROSSREF] [CSA]
  • Nichita , D. V. ( 2005 ). Calculation of critical points using a reduction method , Fluid Phase Equilib. , 228–229 , 223 – 231 [CROSSREF] [CSA]
  • Nichita , D. V. , de Hemptinne , J.-C. , and Gomez , S. ( 2002a ). Isochoric phase stability analysis and flash calculations . Paper presented at 2002 AIChE Spring Meeting, New Orleans, March 10–14, paper 142c .
  • Nichita , D. V. , Gomez , S. , and Luna , E. ( 2002b ). Phase stability analysis with cubic equations of state using a global optimization method , Fluid Phase Equilib. , 194–197 , 411 – 437 [CROSSREF] [CSA]
  • Nichita , D. V. , Gomez , S. , and Luna , E. ( 2002c ). Multiphase equilibria calculations by direct minimization of Gibbs free energy with a global optimization method , Comput. Chem. Eng. , 26 , 1703 – 1724 [CROSSREF] [CSA]
  • Nichita , D. V. , Gomez , S. , and Luna , E. ( 2004 ). Multiphase equilibria calculations by direct minimization of Gibbs free energy using the tunneling global optimization method , J. Can. Pet. Technol. , 43 , 13 – 16 [CSA]
  • Peng , D. Y. and Robinson , D. B. ( 1976 ). A new two-constant equation of state , Ind. Eng. Chem. Fundam. , 15 , 59 – 64 [CROSSREF] [CSA]
  • Soave , G. ( 1972 ). Equilibrium constants from a modified Redlich-Kwong equation of state , Chem. Eng. Sci. , 27 , 1197 – 1203 [CROSSREF] [CSA]
  • Sun , A. C. and Seider , W. D. ( 1995 ). Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy , Fluid Phase Equilib. , 103 , 213 – 249 [CROSSREF] [CSA]
  • Tan , S. P. and Radosz , M. ( 2004 ). Gibbs topological analysis for estimating phase equilibrium tie lines , Fluid Phase Equilib. , 216 , 159 – 165 [CROSSREF] [CSA]
  • Wilson , G. ( 1969 ). A modified Redlich-Kwong equation of state, application to general physical data calculations , Paper presented at AIChE 65th National Meeting, Cleveland, Ohio, May 4–7, paper 15C [CSA]
  • Wisniak , J. , Apelbat , A. , and Segura , H. ( 1998 ). Prediction of gas-solid equilibrium using equations of state , Fluid Phase Equilib. , 147 , 45 – 64 [CROSSREF] [CSA]
  • Xu , G. , Brennecke , J. F. , and Stadtherr , M. A. ( 2002 ). Reliable computation of phase stability and equilibrium from the SAFT equation of state , Ind. Eng. Chem. Res. , 41 , 938 – 952 [CROSSREF] [CSA]
  • Yarborough , L. ( 1972 ). Vapor-liquid equilibrium data for multicomponent mixtures containing hydrocarbon and non-hydrocarbon components , J. Chem. Eng. Data , 17 , 129 – 133 [CROSSREF] [CSA]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.