An accurate investigation of second virial coefficient with Morse-Morse Spline Van der Waals potential and its utilization in the study of real systems


Somuncu E., Mamedov B. A.

Fluid Phase Equilibria, cilt.499, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 499
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.fluid.2019.112255
  • Dergi Adı: Fluid Phase Equilibria
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Morse-morse spline Van der Waals potential, Second virial coefficient, Virial equation of state
  • Uşak Üniversitesi Adresli: Hayır

Özet

The fundamental investigations of virial coefficients with various potentials have many applications in thermodynamics and natural sciences. An analytical approach for the calculation of the second virial coefficient with Morse-Morse Spline Van der Waals (MMSV) potential is presented in this study. The method is based on the series expansion of the exponential function and binomial function, exponential integral function, gamma function, Meijer function, and hypergeometric function. The assessment of the second virial coefficient with MMSV potential is performed mostly using a numerical approach that accounts for significant parameters and ensures the required results. This simple general formula is more suitable for simulations of all thermodynamic quantities. As an example of application of the analytical expression, calculations have been performed forSF6molecule. The obtained results agree well with that obtained from the numerical approach, which make possible the proposed analytical formula to be useful for evaluation of other properties of gases.