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A new thermodynamic function for phase-splitting at constant temperature, moles, and volume

Authors

  • Jiří Mikyška,

    1. Dept. of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Trojanova 13, 120 00 Prague 2, Czech Republic
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  • Abbas Firoozabadi

    Corresponding author
    1. Yale University, Yale School of Engineering and Applied Science, Dept. of Chemical Engineering & Environmental Science, 9 Hillhouse Avenue, ML 103, New Haven, CT 06511
    2. Reservoir Engineering Research Institute, 595 Lytton Ave., Suite B, Palo Alto, CA 94301
    • Yale University, Yale School of Engineering and Applied Science, Dept. of Chemical Engineering & Environmental Science, 9 Hillhouse Avenue, ML 103, New Haven, CT 06511
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Abstract

We introduce a new thermodynamic function for phase-split computations at constant temperature, moles, and volume. The new volume function Fi introduced in this work is a natural choice under these conditions. Phase equilibrium conditions in terms of the volume functions are derived using the Helmholtz free energy. We present a numerical algorithm to investigate two-phase equilibrium based on the fixed point iteration and Newton method. We demonstrate usefulness and powerful features of the new thermodynamic function for a number of examples in two-phase equilibrium calculations. © 2010 American Institute of Chemical Engineers AIChE J, 2011

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