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Volumn 50, Issue 11, 2011, Pages 7003-7018

Modified bounded homotopies in the solving of phase stability problems for liquid-liquid phase-splitting calculations

Author keywords

[No Author keywords available]

Indexed keywords

ATTRACTION DOMAIN; DISTANCE CRITERION; FIXED-POINT HOMOTOPY; GLOBAL MINIMA; HOMOTOPIES; HOMOTOPY PATH; INITIAL ESTIMATE; LIQUID LIQUID EQUILIBRIUM; LIQUID-LIQUIDS; PHASE SPLITTING; PHASE STABILITY ANALYSIS; PURE COMPONENTS; ROBUST ALGORITHM; STABILITY PROBLEM;

EID: 79960025055     PISSN: 08885885     EISSN: 15205045     Source Type: Journal    
DOI: 10.1021/ie101907h     Document Type: Article
Times cited : (11)

References (61)
  • 1
    • 38649106129 scopus 로고    scopus 로고
    • Rapid and robust phase behaviour stability analysis using global optimization
    • Saber, N.; Shaw, J. M. Rapid and robust phase behaviour stability analysis using global optimization. Fluid Phase Equilib. 2008, 264, 137.
    • (2008) Fluid Phase Equilib. , vol.264 , pp. 137
    • Saber, N.1    Shaw, J.M.2
  • 2
    • 0343619343 scopus 로고    scopus 로고
    • Multiple steady states in distillation: Effect of VL(L)E inaccuracies
    • Bekiaris, N.; Güttinger, T. E.; Morari, M. Multiple Steady States in Distillation: Effect of VL(L)E Inaccuracies. AIChE J. 2000, 46, 955.
    • (2000) AIChE J. , vol.46 , pp. 955
    • Bekiaris, N.1    Güttinger, T.E.2    Morari, M.3
  • 3
    • 0033237848 scopus 로고    scopus 로고
    • Computing all homogeneous and heterogeneous azeotropes in multicomponent mixtures
    • Wasylkiewicz, S. K.; Doherty, M. F.; Malone, M. F. Computing All Homogeneous and Heterogeneous Azeotropes in Multicomponent Mixtures. Ind. Eng. Chem. Res. 1999, 38, 4901.
    • (1999) Ind. Eng. Chem. Res. , vol.38 , pp. 4901
    • Wasylkiewicz, S.K.1    Doherty, M.F.2    Malone, M.F.3
  • 4
    • 58149279433 scopus 로고    scopus 로고
    • Bilevel optimization formulation for parameter estimation in liquid-liquid phase equilibrium problems
    • Mitsos, A.; Bollas, G. M.; Barton, P. I. Bilevel optimization formulation for parameter estimation in liquid-liquid phase equilibrium problems. Chem. Eng. Sci. 2009, 64, 548.
    • (2009) Chem. Eng. Sci. , vol.64 , pp. 548
    • Mitsos, A.1    Bollas, G.M.2    Barton, P.I.3
  • 5
    • 0029328794 scopus 로고
    • Global optimization for the phase stability problem
    • McDonald, C. M.; Floudas, C. A. Global Optimization for the Phase Stability Problem. AIChE J. 1995, 41, 1798.
    • (1995) AIChE J. , vol.41 , pp. 1798
    • McDonald, C.M.1    Floudas, C.A.2
  • 6
  • 7
    • 44749092507 scopus 로고    scopus 로고
    • Modified bounded homotopies to enable a narrow bounding zone
    • Malinen, I.; Tanskanen, J. Modified bounded homotopies to enable a narrow bounding zone. Chem. Eng. Sci. 2008, 63, 3419.
    • (2008) Chem. Eng. Sci. , vol.63 , pp. 3419
    • Malinen, I.1    Tanskanen, J.2
  • 8
    • 0023241048 scopus 로고
    • Homotopy continuation methods for computer-aided process design
    • Wayburn, T. L.; Seader, J. D. Homotopy continuation methods for computer-aided process design. Comput. Chem. Eng. 1987, 11, 7.
    • (1987) Comput. Chem. Eng. , vol.11 , pp. 7
    • Wayburn, T.L.1    Seader, J.D.2
  • 9
    • 1542289148 scopus 로고    scopus 로고
    • Numerical solution of the isothermal isobaric phase equilibrium problem
    • Wakeham, W. A.; Stateva, R. P. Numerical Solution of the Isothermal, Isobaric Phase Equilibrium Problem. Rev. Chem. Eng. 2004, 20, 1.
    • (2004) Rev. Chem. Eng. , vol.20 , pp. 1
    • Wakeham, W.A.1    Stateva, R.P.2
  • 10
    • 0035883144 scopus 로고    scopus 로고
    • Evaluation of genetic algorithms and simulated annealing for phase equilibrium and stability problems
    • Rangaiah, G. P. Evaluation of genetic algorithms and simulated annealing for phase equilibrium and stability problems. Fluid Phase Equilib. 2001, 187-188, 83.
    • (2001) Fluid Phase Equilib. , vol.187-188 , pp. 83
    • Rangaiah, G.P.1
  • 14
    • 0029247716 scopus 로고
    • Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy
    • Sun, A. C.; Seider, W. D. Homotopy-continuation method for stability analysis in the global minimization of the Gibbs free energy. Fluid Phase Equilib. 1995, 103, 213.
    • (1995) Fluid Phase Equilib. , vol.103 , pp. 213
    • Sun, A.C.1    Seider, W.D.2
  • 15
    • 0342748368 scopus 로고    scopus 로고
    • Reliable phase stability analysis for excess Gibbs energy models
    • Tessier, S. R.; Brennecke, J. F.; Stadtherr, M. A. Reliable phase stability analysis for excess Gibbs energy models. Chem. Eng. Sci. 2000, 55, 1785.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 1785
    • Tessier, S.R.1    Brennecke, J.F.2    Stadtherr, M.A.3
  • 16
    • 34250621356 scopus 로고    scopus 로고
    • Multiple solutions in stability analysis using homotopy continuation in complex space
    • Khaleghi, S.; Jalali, F. Multiple Solutions in Stability Analysis Using Homotopy Continuation in Complex Space. Chem. Eng. Commun. 2007, 194, 1241.
    • (2007) Chem. Eng. Commun. , vol.194 , pp. 1241
    • Khaleghi, S.1    Jalali, F.2
  • 17
    • 0032849283 scopus 로고    scopus 로고
    • Calculation of liquid-liquid equilibrium based on the global stability analysis for ternary mixtures by using a novel branch and bound algorithm: Application to UNIQUAC equation
    • Zhu, Y.; Xu, Z. Calculation of Liquid-Liquid Equilibrium Based on the Global Stability Analysis for Ternary Mixtures by Using a Novel Branch and Bound Algorithm: Application to UNIQUAC Equation. Ind. Eng. Chem. Res. 1999, 38, 3549.
    • (1999) Ind. Eng. Chem. Res. , vol.38 , pp. 3549
    • Zhu, Y.1    Xu, Z.2
  • 18
    • 0033521469 scopus 로고    scopus 로고
    • A reliable prediction of the global phase stability for liquid-liquid equilibrium through the simulated annealing algorithm: Application to NRTL and UNIQUAC equations
    • Zhu, Y.; Xu, Z. A reliable prediction of the global phase stability for liquid-liquid equilibrium through the simulated annealing algorithm: Application to NRTL and UNIQUAC equations. Fluid Phase Equilib. 1999, 154, 55.
    • (1999) Fluid Phase Equilib. , vol.154 , pp. 55
    • Zhu, Y.1    Xu, Z.2
  • 19
    • 33745889652 scopus 로고    scopus 로고
    • Performance of stochastic global optimization methods in the calculation of phase stability analyses for nonreactive and reactive mixtures
    • Bonilla-Petriciolet, A.; Vázquez-Roman, R.; Iglesias-Silva, G. A.; Hall, K. R. Performance of Stochastic Global Optimization Methods in the Calculation of Phase Stability Analyses for Nonreactive and Reactive Mixtures. Ind. Eng. Chem. Res. 2006, 46, 4764.
    • (2006) Ind. Eng. Chem. Res. , vol.46 , pp. 4764
    • Bonilla-Petriciolet, A.1    Vázquez-Roman, R.2    Iglesias-Silva, G.A.3    Hall, K.R.4
  • 21
    • 0026117689 scopus 로고
    • New strategy for phase equilibrium and critical point calculations by thermodynamic energy analysis. Part I. Stability analysis and flash
    • Nagarajan, N. R.; Cullick, A. S.; Griewank, A. New Strategy for Phase Equilibrium and Critical Point Calculations by Thermodynamic Energy Analysis. Part I. Stability Analysis and Flash. Fluid Phase Equilib. 1991, 62, 191.
    • (1991) Fluid Phase Equilib. , vol.62 , pp. 191
    • Nagarajan, N.R.1    Cullick, A.S.2    Griewank, A.3
  • 22
    • 34547678026 scopus 로고    scopus 로고
    • A dual extremum principle in thermodynamics
    • Mitsos, A.; Barton, P. I. A Dual Extremum Principle in Thermodynamics. AIChE J. 2007, 53, 2131.
    • (2007) AIChE J. , vol.53 , pp. 2131
    • Mitsos, A.1    Barton, P.I.2
  • 24
    • 33947127714 scopus 로고    scopus 로고
    • The area method for phase stability revisited: Further developments. Formulation in terms of the convex envelope of thermodynamic surfaces
    • Balogh, J.; Craven, R. J. B.; Stateva, R. P. The Area Method for Phase Stability Revisited: Further Developments. Formulation in Terms of the Convex Envelope of Thermodynamic Surfaces. Ind. Eng. Chem. Res. 2007, 46, 1611.
    • (2007) Ind. Eng. Chem. Res. , vol.46 , pp. 1611
    • Balogh, J.1    Craven, R.J.B.2    Stateva, R.P.3
  • 25
    • 0041694405 scopus 로고    scopus 로고
    • Application of a stochastic method to the solution of the phase stability problem: Cubic equations of state
    • Balogh, J.; Csendes, T.; Stateva, R. P. Application of a stochastic method to the solution of the phase stability problem: cubic equations of state. Fluid Phase Equilib. 2003, 212, 257.
    • (2003) Fluid Phase Equilib. , vol.212 , pp. 257
    • Balogh, J.1    Csendes, T.2    Stateva, R.P.3
  • 27
    • 0034685549 scopus 로고    scopus 로고
    • Global stability analysis and phase equilibrium calculations at high pressures using the enhanced simulated annealing algorithm
    • Zhu, Y.; Wen, H.; Xu, Z. Global stability analysis and phase equilibrium calculations at high pressures using the enhanced simulated annealing algorithm. Chem. Eng. Sci. 2000, 55, 3451.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 3451
    • Zhu, Y.1    Wen, H.2    Xu, Z.3
  • 28
    • 33947636154 scopus 로고    scopus 로고
    • A study of differential evolution and tabu search for benchmark, phase equilibrium and phase stability problems
    • Srinivas, M.; Rangaiah, G. P. A study of differential evolution and tabu search for benchmark, phase equilibrium and phase stability problems. Comput. Chem. Eng. 2007, 31, 760.
    • (2007) Comput. Chem. Eng. , vol.31 , pp. 760
    • Srinivas, M.1    Rangaiah, G.P.2
  • 29
    • 30244485634 scopus 로고    scopus 로고
    • Reliable prediction of phase stability using an interval newton method
    • Hua, J. Z.; Brennecke, J. F.; Stadtherr, M. A. Reliable Prediction of Phase Stability Using an Interval Newton Method. Fluid Phase Equilib. 1996, 116, 52.
    • (1996) Fluid Phase Equilib. , vol.116 , pp. 52
    • Hua, J.Z.1    Brennecke, J.F.2    Stadtherr, M.A.3
  • 30
    • 0032046921 scopus 로고    scopus 로고
    • Enhanced interval analysis for phase stability: Cubic equation of state models
    • Hua, J. Z.; Brennecke, J. F.; Stadtherr, M. A. Enhanced Interval Analysis for Phase Stability: Cubic Equation of State Models. Ind. Eng. Chem. Res. 1998, 37, 1519.
    • (1998) Ind. Eng. Chem. Res. , vol.37 , pp. 1519
    • Hua, J.Z.1    Brennecke, J.F.2    Stadtherr, M.A.3
  • 31
    • 26644432716 scopus 로고    scopus 로고
    • Phase stability analysis using interval Newton method with NRTL model
    • Gecegormez,H.; Demirel, Y. Phase stability analysis using interval Newton method with NRTL model. Fluid Phase Equilib. 2005, 237, 48.
    • (2005) Fluid Phase Equilib. , vol.237 , pp. 48
    • Gecegormez, H.1    Demirel, Y.2
  • 32
    • 0030126648 scopus 로고    scopus 로고
    • Global stability analysis and calculation of liquid-liquid equilibriumin multicomponent mixtures
    • Wasylkiewicz, S.K.; Sridhar, L.N.; Doherty, M. F.; Malone, M. F. Global Stability Analysis and Calculation of Liquid-Liquid Equilibriumin Multicomponent Mixtures. Ind. Eng. Chem. Res. 1996, 35, 1395.
    • (1996) Ind. Eng. Chem. Res. , vol.35 , pp. 1395
    • Wasylkiewicz, S.K.1    Sridhar, L.N.2    Doherty, M.F.3    Malone, M.F.4
  • 33
    • 0029395174 scopus 로고
    • Global optimization for the phase and chemical equilibrium problem: Application to the NRTL Equation
    • McDonald, C. M.; Floudas, C. A. Global Optimization for the Phase and Chemical Equilibrium Problem: Application to the NRTL Equation. Comput. Chem. Eng. 1995, 19, 1111.
    • (1995) Comput. Chem. Eng. , vol.19 , pp. 1111
    • McDonald, C.M.1    Floudas, C.A.2
  • 34
    • 0025625478 scopus 로고
    • A global optimization algorithm for certain classes of nonconvex NLPs-I. Theory
    • Floudas, C. A.; Visveswaran, V. A Global Optimization Algorithm for Certain Classes of Nonconvex NLPs-I. Theory. Comput. Chem. Eng. 1990, 14, 1397.
    • (1990) Comput. Chem. Eng. , vol.14 , pp. 1397
    • Floudas, C.A.1    Visveswaran, V.2
  • 35
    • 0001669476 scopus 로고
    • Global optimization and analysis for the gibbs free energy function using the UNIFAC Wilson and ASOG equations
    • McDonald, C. M.; Floudas, C. A. Global optimization and analysis for the Gibbs free energy function using the UNIFAC, Wilson and ASOG equations. Ind. Eng. Chem. Res. 1995, 34, 1674.
    • (1995) Ind. Eng. Chem. Res. , vol.34 , pp. 1674
    • McDonald, C.M.1    Floudas, C.A.2
  • 36
    • 0030244667 scopus 로고    scopus 로고
    • GLOPEQ: A new computational tool for the phase and chemical equilibrium problem
    • McDonald, C. M.; Floudas, C. A. GLOPEQ: A New Computational Tool for the Phase and Chemical Equilibrium Problem. Comput. Chem. Eng. 1997, 21, 1.
    • (1997) Comput. Chem. Eng. , vol.21 , pp. 1
    • McDonald, C.M.1    Floudas, C.A.2
  • 37
    • 0037114033 scopus 로고    scopus 로고
    • Multiphase equilibria calculation by direct minimization of gibbs free energy with a global optimization method
    • Nichita, D. V.; Gomez, S.; Luna, E. Multiphase equilibria calculation by direct minimization of Gibbs free energy with a global optimization method. Comput. Chem. Eng. 2002, 26, 1703.
    • (2002) Comput. Chem. Eng. , vol.26 , pp. 1703
    • Nichita, D.V.1    Gomez, S.2    Luna, E.3
  • 38
    • 67649804623 scopus 로고    scopus 로고
    • Efficient location of multiple global minima for the phase stability problem
    • Nichita, D. V.; Gomez, S. Efficient location of multiple global minima for the phase stability problem. Chem. Eng. J. 2009, 152, 251.
    • (2009) Chem. Eng. J. , vol.152 , pp. 251
    • Nichita, D.V.1    Gomez, S.2
  • 40
    • 0030735480 scopus 로고    scopus 로고
    • Computing heterogeneous azeotropes in multicomponent mixtures
    • Eckert, E.; Kubicek, M. Computing Heterogeneous Azeotropes in Multicomponent Mixtures. Comput. Chem. Eng. 1997, 21, 347.
    • (1997) Comput. Chem. Eng. , vol.21 , pp. 347
    • Eckert, E.1    Kubicek, M.2
  • 41
    • 0033937489 scopus 로고    scopus 로고
    • Computation of heteroazeotropes. Part II: Efficient calculation of changes in phase equilibrium structure
    • Tolsma, J. E.; Barton, P. I. Computation of heteroazeotropes. Part II: Efficient calculation of changes in phase equilibrium structure. Chem. Eng. Sci. 2000, 55, 3835.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 3835
    • Tolsma, J.E.1    Barton, P.I.2
  • 43
    • 0033522768 scopus 로고    scopus 로고
    • Homotopy continuation method for calculating critical loci of binary mixtures
    • Wang, M. C.; Wong, D. S. H.; Chen, H.; Yan, W.; Guo, T.-M. Homotopy continuation method for calculating critical loci of binary mixtures. Chem. Eng. Sci. 1999, 54, 3873.
    • (1999) Chem. Eng. Sci. , vol.54 , pp. 3873
    • Wang, M.C.1    Wong, D.S.H.2    Chen, H.3    Yan, W.4    Guo, T.-M.5
  • 44
    • 30644457739 scopus 로고    scopus 로고
    • Sensitivity of azeotropic states to activity coefficient model parameters and system variables
    • Aslam, N.; Sunol, A. K. Sensitivity of azeotropic states to activity coefficient model parameters and system variables. Fluid Phase Equilib. 2006, 240, 1.
    • (2006) Fluid Phase Equilib. , vol.240 , pp. 1
    • Aslam, N.1    Sunol, A.K.2
  • 45
    • 0842301445 scopus 로고    scopus 로고
    • Reliable computation of binary homogeneous azeotropes of multicomponent mixtures at higher pressures through equation of states
    • Aslam, N.; Sunol, A. K. Reliable computation of binary homogeneous azeotropes of multicomponent mixtures at higher pressures through equation of states. Chem. Eng. Sci. 2004, 59, 599.
    • (2004) Chem. Eng. Sci. , vol.59 , pp. 599
    • Aslam, N.1    Sunol, A.K.2
  • 46
    • 0034333147 scopus 로고    scopus 로고
    • Quick and reliable phase stability test in VLLE flash calculations by homotopy continuation
    • Bausa, J.; Marquardt, W. Quick and reliable phase stability test in VLLE flash calculations by homotopy continuation. Comput. Chem. Eng. 2000, 24, 2447.
    • (2000) Comput. Chem. Eng. , vol.24 , pp. 2447
    • Bausa, J.1    Marquardt, W.2
  • 47
    • 27844522676 scopus 로고    scopus 로고
    • Equilibrium and ratebased approaches to liquid-liquid phase splitting calculations
    • Steyer, F.; Flockerzi, D.; Sundmacher, K. Equilibrium and ratebased approaches to liquid-liquid phase splitting calculations. Comput. Chem. Eng. 2005, 30, 277.
    • (2005) Comput. Chem. Eng. , vol.30 , pp. 277
    • Steyer, F.1    Flockerzi, D.2    Sundmacher, K.3
  • 48
    • 0034284390 scopus 로고    scopus 로고
    • Use of homotopy-continuation method in stability analysis of multiphase, reacting systems
    • Jalali-Farahani, F.; Seader, J. D. Use of homotopy-continuation method in stability analysis of multiphase, reacting systems. Comput. Chem. Eng. 2000, 24, 1997.
    • (2000) Comput. Chem. Eng. , vol.24 , pp. 1997
    • Jalali-Farahani, F.1    Seader, J.D.2
  • 49
    • 0033544442 scopus 로고    scopus 로고
    • Homotopy continuation method in multi-phase multi-reaction equilibrium systems
    • Jalali, F.; Seader, J. D. Homotopy continuation method in multi-phase multi-reaction equilibrium systems. Comput. Chem. Eng. 1999, 23, 1319.
    • (1999) Comput. Chem. Eng. , vol.23 , pp. 1319
    • Jalali, F.1    Seader, J.D.2
  • 50
    • 47849107591 scopus 로고    scopus 로고
    • Global solution approaches in equilibrium and stability analysis using homotopy continuation in the complex domain
    • Jalali, F.; Seader, J. D.; Khaleghi, S. Global solution approaches in equilibrium and stability analysis using homotopy continuation in the complex domain. Comput. Chem. Eng. 2008, 32, 2333.
    • (2008) Comput. Chem. Eng. , vol.32 , pp. 2333
    • Jalali, F.1    Seader, J.D.2    Khaleghi, S.3
  • 51
    • 0043212105 scopus 로고    scopus 로고
    • Multiphase equilibrium calculations using Gibbs minimization techniques
    • Sofyan, Y.; Ghajar, A. J.; Gasem, K. A. M. Multiphase equilibrium calculations using Gibbs minimization techniques. Ind. Eng. Chem. Res. 2003, 42, 3786.
    • (2003) Ind. Eng. Chem. Res. , vol.42 , pp. 3786
    • Sofyan, Y.1    Ghajar, A.J.2    Gasem, K.A.M.3
  • 52
    • 0037107350 scopus 로고    scopus 로고
    • Numerical solution of non-linear algebraic equations with discontinuities
    • Shacham, M.; Brauner, N. Numerical solution of non-linear algebraic equations with discontinuities. Comput. Chem. Eng. 2002, 26, 1449.
    • (2002) Comput. Chem. Eng. , vol.26 , pp. 1449
    • Shacham, M.1    Brauner, N.2
  • 53
    • 0025075579 scopus 로고
    • Mapped continuation methods for computing all solutions to general systems of nonlinear equations
    • Seader, J. D.; Kuno, M.; Lin, W.-J.; Johnson, S. A.; Unsworth, K.; Wiskin, J. W. Mapped continuation methods for computing all solutions to general systems of nonlinear equations. Comput. Chem. Eng. 1990, 14, 71.
    • (1990) Comput. Chem. Eng. , vol.14 , pp. 71
    • Seader, J.D.1    Kuno, M.2    Lin, W.-J.3    Johnson, S.A.4    Unsworth, K.5    Wiskin, J.W.6
  • 54
    • 0002949522 scopus 로고
    • Simplicial and continuation methods for approximating fixed points and solutions to systems of equations
    • Allgower, E.; Georg, K. Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations. SIAM Rev. 1980, 22, 28.
    • (1980) SIAM Rev. , vol.22 , pp. 28
    • Allgower, E.1    Georg, K.2
  • 55
    • 0001743879 scopus 로고
    • Bounded homotopies to solve systems of algebraic nonlinear equations
    • Paloschi, J. R. Bounded Homotopies to Solve Systems of Algebraic Nonlinear Equations. Comput. Chem. Eng. 1995, 19, 1243.
    • (1995) Comput. Chem. Eng. , vol.19 , pp. 1243
    • Paloschi, J.R.1
  • 56
    • 0030652720 scopus 로고    scopus 로고
    • Bounded homotopies to solve systems of sparse algebraic nonlinear equations
    • Paloschi, J. R. Bounded Homotopies to Solve Systems of Sparse Algebraic Nonlinear Equations. Comput. Chem. Eng. 1997, 21, 531.
    • (1997) Comput. Chem. Eng. , vol.21 , pp. 531
    • Paloschi, J.R.1
  • 57
    • 34247641752 scopus 로고    scopus 로고
    • A rigorous minimum energy calculation method for a fully thermally coupled distillation system
    • Malinen, I.; Tanskanen, J. A Rigorous Minimum Energy Calculation Method for a Fully Thermally Coupled Distillation System. Chem. Eng. Res. Des. 2007, 85A, 502.
    • (2007) Chem. Eng. Res. Des. , vol.85 A , pp. 502
    • Malinen, I.1    Tanskanen, J.2
  • 58
    • 77956880581 scopus 로고    scopus 로고
    • Homotopy parameter bounding in increasing the robustness of homotopy continuation methods in multiplicity studies
    • Malinen, I.; Tanskanen, J. Homotopy parameter bounding in increasing the robustness of homotopy continuation methods in multiplicity studies. Comput. Chem. Eng. 2010, 34, 1761.
    • (2010) Comput. Chem. Eng. , vol.34 , pp. 1761
    • Malinen, I.1    Tanskanen, J.2
  • 59
    • 0022010906 scopus 로고
    • Computation of phase equilibrium: Optimization with thermodynamic inconsistency
    • Chakravarty, T.; White, C. W., III; Seider, W. D. Computation of Phase Equilibrium: Optimization with Thermodynamic Inconsistency. AIChE J. 1985, 31, 316.
    • (1985) AIChE J. , vol.31 , pp. 316
    • Chakravarty, T.1    White Iii, C.W.2    Seider, W.D.3
  • 60
    • 0034026986 scopus 로고    scopus 로고
    • A powerful algorithm for liquid-liquid-liquid equilibria predictions and calculations
    • Stateva, R. P.; Cholakov, G. S.; Galushko, A. A.; Wakeham, W. A. A powerful algorithm for liquid-liquid-liquid equilibria predictions and calculations. Chem. Eng. Sci. 2000, 55, 2121.
    • (2000) Chem. Eng. Sci. , vol.55 , pp. 2121
    • Stateva, R.P.1    Cholakov, G.S.2    Galushko, A.A.3    Wakeham, W.A.4


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