An Efficient Numerical Scheme to Solve a Quintic Equation of State for Supercritical Fluids

作者：Fatoorehchi Hooman; Rach Randolph; Tavakoli Omid^*; Abolghasemi Hossein

来源：Chemical Engineering Communications, 2015, 202(3): 402-407.

DOI：10.1080/00986445.2013.843529

• Thermodynamic properties
• Adomian polynomials
• Supercritical fluids
• Adomian decomposition method
• Quintic EOS
• Iterative scheme

In this study, an efficient iterative algorithm is devised to handle a nonlinear equation arising in estimation of thermodynamic properties at supercritical conditions. The approach is based on a synergistic combination of the classic Newton-Raphshon algorithm and the Adomian decomposition method. We demonstrate that the proposed method enjoys a higher degree of accuracy while requiring fewer iterations to reach a specific solution compared to that by the Newton-Raphson algorithm. To illustrate the efficiency of the aforementioned solution technique, several numerical examples are provided. The proposed method has been easily implemented in computer codes to provide parametric, not just numeric, solutions to the model equations. Consequently, one can derive other thermodynamic properties, which have not been treated parametrically to date, based on our new combined approach.

• 出版日期2015-3-4