Virial coefficients of hard-core attractive Yukawa fluids

Experimental and modelling study of the densities of the hydrogen sulphide + methane mixtures at 253, 273 and 293 K and pressures up to 30 MPa

“…A virial equation provides a simple way to describe thermodynamic properties, and the virial coefficients can be determined by different experimental methods or correlations [34]. The form for our virial expansion is given by:…”

Virial expansions and augmented van der Waals approach: Application to Lennard-Jones-like Yukawa fluid

“…Despite the significant progress in the development of modern tools in the statistical theory of liquids [1][2][3][4][5][6][7][8][9][10], there still are numerous studies where thermodynamic properties are expressed in the terms of virial expansions (e.g., see references [11][12][13] and references therein). The classical example of the virial expansion approach is the virial equation of state (EOS) [14,15] p k B T = ρ + B 2 (T )ρ 2 + B 3 (T )ρ 3 + B 4 (T )ρ 4 + .…”

“…This model fluid has been studied intensively by computer experiment [7,27,28] as well as by other approaches, such as the mean-spherical integral equation theory (MSA) [6], the MSA-based first-order perturbation theory (FMSA) [8], the MSA-based high temperature expansions theory [9,10]. As for the virial expansion approach, to the best of our knowledge, there is only one paper by Naresh and Singh [13], where the virial coefficients up to the sixth order, i.e., B 2 (T ), B 3 (T ), . .…”

“…., B 6 (T ), for the LJlike HCAY fluid have been reported. After substituting these coefficients into the virial EOS, equation (1.1), the applicability of the latter in the case of the LJ-like HCAY fluid (see figure 6 for illustration) can be summarized as follows [13]: (i) being truncated by B 6 (T ), the virial EOS is rather accurate in the density range up to a reduced density ρσ 3 ≈ 0.5, and remains to be qualitatively correct for the entire density range, but only for the reduced temperatures T * = k B T / = 1.5 and 2 that are supercritical temperatures for this fluid model (the critical point temperature in this case T * c ≈ 1.2 [7,27,29]); (ii) the same virial EOS begins to fail already right after the density ρσ 3 ≈ 0.1 in the case of the subcritical temperatures (the results shown by the dashed line in figure 6 for the reduced temperature T * = 1).…”

Attractive hard-core Yukawa fluids in the nanosized pores: Structure and phase behaviors

“…The reasons are that (i) many studies had been carried out to investigate the structure and phase behaviors of a bulk HCY fluid [6][7][8][9][10][11][12][13][14][15][16] due to its ability to represent many real fluid system from simple to complex fluids such as charge-stabilized colloidal suspension, micells, protein, and microemulsions, (ii) a few work are done on the structure of an attractive HCY fluid at interfaces [17][18][19][20][21][22][23][24][25], and that (iii) as far as the authors know, the phase behaviors of an attractive HCY fluid at the subcritical temperature, which is confined in the nanopores such as the slit and spherical pores, have not been reported until now. The attractive HCY potential is given by the following expression…”