Skip to main content
Springer Nature Link
Log in

Nonlinear Systems of Equations: Application to the Enclosure of All Azeotropes

  • Reference work entry
Encyclopedia of Optimization

  • 372 Accesses

Article Outline

Keywords

Nonlinear System of Equations

  Condition 1: Phase Equilibrium

  Condition 2: Equality of Phase Compositions

Solution Methodologies

Global Optimization Approach

Homotopy Continuation Approach

Heterogeneous Azeotropes

Reactive Azeotropes

See also

References

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Aristovich VY, Stepanova EI (1970) Determination of the existence and composition of multicomponent azeotropes by calculation from data for binary systems. Zh Prikl Khim (Leningrad) 43:2192–2200

    Google Scholar 

  2. Chapman RG, Goodwin SP (1993) A general algorithm for the calculation of azeotropes in fluid mixtures. Fluid Phase Equilib 85:55–69

    Google Scholar 

  3. Eckert E, Kubicek M (1997) Computing heterogeneous azeotropes in multicomponent mixtures. Comput Chem Eng 21(3):347–350

    Google Scholar 

  4. Fidkowski ZT, Malone MF, Doherty MF (1993) Computing azeotropes in multicomponent mixtures. Comput Chem Eng 17(12):1141–1155

    Google Scholar 

  5. Gmehling J, Menke J, Krafczyk J, Fischer K (1994) Azeotropic data. Wiley-VCH, Weinheim

    Google Scholar 

  6. Harding ST, Floudas CA (1997) Global optimization in multiproduct and multipurpose batch design under uncertainty. Industr Eng Chem Res 36:1644–1664

    Google Scholar 

  7. Harding ST, Maranas CD, McDonald CM, Floudas CA (1997) Locating all azeotropes in homogeneous azeotropic systems. Industr Eng Chem Res 36:160–178

    Google Scholar 

  8. Michelsen ML (1981) The isothermal flash problem: Part I. Stability. Fluid Phase Equilib 9:1–19

    Google Scholar 

  9. Okasinski MJ, Doherty MF (1997) Thermodynamic behavior of reactive azeotropes. AIChE J 43(9):2227–2238

    Google Scholar 

  10. Teja AS, Rowlinson JS (1973) The prediction of the thermodynamic properties of fluids and fluid mixtures - IV. Critical and azeotropic states. Chem Eng Sci 28:529–538

    Google Scholar 

  11. Ung S, Doherty MF (1995) Necessary and sufficient conditions for reactive azeotropes in multireaction mixtures. AIChE J 41(11):2383–2392

    Google Scholar 

  12. Wang S, Whiting WB (1986) New algorithm for calculation of azeotropes from equations of state. Industr Eng Chem Process Des Developm 25:547–551

    Google Scholar 

  13. Widagdo S, Seider WD (1996) Azeotropic distillation. AIChE J 42:96–130

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department Chemical Engineering, Princeton University, Princeton, USA

    S. T. Harding & Christodoulos A. Floudas

Authors
  1. S. T. Harding
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Christodoulos A. Floudas
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag

About this entry

Cite this entry

Harding, S.T., Floudas, C.A. (2008). Nonlinear Systems of Equations: Application to the Enclosure of All Azeotropes . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_455

Download citation

Publish with us

Policies and ethics