Constitutive Models

Mauricio Sales-Cruz, Chiara Piccolo, Martina Heitzig, Ian Cameron, Rafiqul Gani

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review


This chapter presents various types of constitutive models and their applications. There are 3 aspects dealt with in this chapter, namely: creation and solution of property models, the application of parameter estimation and finally application examples of constitutive models. A systematic procedure is introduced for the analysis and solution of property models. Models that capture and represent the temperature dependent behaviour of physical properties are introduced, as well as equation of state models (EOS) such as the SRK EOS. Modelling of liquid phase activity coefficients are also covered, illustrating several models such as the Wilson equation and NRTL equation, along with their solution strategies. A section shows how to use experimental data to regress the property model parameters using a least squares approach. A full model analysis is applied in each example that discusses the degrees of freedom, dependent and independent variables and solution strategy. Vapour-liquid and solid-liquid equilibrium is covered, and applications to droplet evaporation and kinetic models are given.
Original languageEnglish
Title of host publicationProduct and Process Modelling : A Case Study Approach
EditorsIan Cameron, Rafiqul Gani
Number of pages557
Publication date2011
ISBN (Print)978-0-444-53161-2
Publication statusPublished - 2011


  • Physical properties
  • Vapour Liquid Equilibrium
  • Property models
  • SRK equation of state
  • Solid Liquid Equilibrium
  • Parameter estimation
  • NRTL equation of state
  • Constitutive equations


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