Boublik 2D hard convex body equation of state

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Boublik 2D hard convex body equation of state [1]

Helmholtz energy function (Eq. 8):

\frac{\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 \left( 1+2cy - cy^2\right) }{(1-y)^2}

For the hard disk model (Eq. 11)


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

where \gamma =1

References[edit]