Boublik 2D hard convex body equation of state

Boublik 2D hard convex body equation of state

Helmholtz energy function (Eq. 8):

$\frac{\mathrm{\Delta }A}{RT}=-\ln (1-y)+\frac{\gamma y(1+cy)}{1-y}$

where $y$ is the packing fraction and $c$ is an unknown parameter and $\gamma$ is the non-sphericity factor.

Compressibility factor (Eq. 9)

$Z=\frac{1}{1-y}+\frac{\gamma y(1+2cy-c{y}^2)}{(1-y{)}^2}$

For the hard disk model (Eq. 11)

$Z=\frac{1}{1-y}+\frac{\gamma y[1+\gamma (y/7-y^2/14)]}{(1-y{)}^2}$

where $\gamma =1$