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A Wavelet-Galerkin Method applied to Separation Processes

  • R. v. Watzdorf
  • K. Urban
  • W. Dahmen
  • W. Marquardt

Abstract

Many fluid mixtures encountered in chemical and hydrocarbon processing industries are ill-defined in the sense that they contain far too many components for a detailed compositional analysis and subsequent modeling in terms of pure component mass balances. Common examples of such mixtures are frequently related to processes of high economic relevance and include petroleum and reservoir fluids as well as polymer solutions and polyreaction systems [6]. The concept of continuous thermodynamics is a well-established approach for the modeling of these mixtures [2, 6]. The compositional complexity of the mixture is represented in terms of a time-dependent continuous distribution function t) of some characterizing fluid property £ (e.g. molecular weight, natural boiling point or Single Carbon Number). The relation between the discrete mole fraction of any component and the distribution function is given by
$${x_l}\left(t \right) = {\smallint _{\Delta \xi l}}F\left({\xi,t} \right)d\xi $$
(1.1)
.Using definition eq. (1.1), a complete framework of thermodynamic relations analogous to the discrete case can be derived [6, 13].

Keywords

Trial Solution Fast Wavelet Continuous Thermodynamic Liquid Phase Composition Fast Wavelet Transform 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • R. v. Watzdorf
    • 1
  • K. Urban
    • 2
  • W. Dahmen
    • 2
  • W. Marquardt
    • 1
  1. 1.Lehrstuhl für ProzeßtechnikRWTH Aachen University of TechnologyGermany
  2. 2.Institut für Geometrie und Praktische MathematikRWTH Aachen University of TechnologyAachenGermany

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