Numerical solution of the multiparameter Benedict-Webb-Rubin equation
of state with high accuracy

Koldoba Elena Valentinovna

Numerical solution of the multiparameter Benedict-Webb-Rubin equation of state with high accuracy

Koldoba E. V.

Koldoba Elena Valentinovna

Associate Professor, Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Chair of Computational Mechanics

Published: 2024, vol. 28, issue 2, pp. 5–11

Download full text (In Russian)

Abstract

When solving the nonlinear Benedict-Webb-Rubin equation, Newton’s method is usually used. In some areas of pressure and temperature, the equation has many roots; to find the root we need, we must carefully set the initial values for Newton’s method. To do this, it is proposed to use formulas that specify the densities of the gas and liquid phases at the equilibrium gas-liquid phase transition, which can be adjusted to the equation being solved. This approach makes it possible to construct a thermodynamically consistent model convenient for numerical solution, which increases the reliability of calculations.

Keywords: numerical algorithms, multiparameter equation of state, Benedict-Webb-Rubin equation.

BibTeX

@article{IS-Koldoba2024,
  author  = {Koldoba, Elena Valentinovna},
  title   = {{Numerical solution of the multiparameter Benedict-Webb-Rubin equation of state with high accuracy}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2024},
  volume  = {28},
  number  = {2},
  pages   = {5--11},
}

AMSBIB

\Bibitem{IS-Koldoba2024}
\by E.\,V.~Koldoba
\paper Numerical solution of the multiparameter Benedict-Webb-Rubin equation of state with high accuracy
\jour Intelligent Systems. Theory and Applications
\yr 2024
\vol 28
\issue 2
\pages 5--11
\lang In Russian

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