Editing Thiele hard sphere equation of state

{{Stub-general}}
The '''Thiele hard sphere equation of state''' is an [[equations of state|equation of state]] for a [[hard sphere model|hard sphere]] fluid developed by Thiele in 1963. The equation provides a better approximation of the repulsive forces between molecules than the [[Van der Waals equation of state|Van der Waals repulsive term]]. The equation is given below:

<math> Z_{hs} = \frac{p_{hs}V_m}{RT} = \frac{1 - \eta^3}{(1-\eta)^4} = \frac{1 + \eta + \eta^2}{(1-\eta)^3} </math>, 

where:
:<math>Z_{hs}</math> is the compressibility factor of the hard sphere fluid;
:<math>p_{hs}</math> is the pressure of the fluid;
:<math>V_m</math> is the molar volume of the fluid;
:<math>T</math> is the absolute temperature of the fluid; 
:<math>R</math> is the gas constant; and
:<math>\eta</math> is the [[packing fraction]] of the fluid.

In terms of accuracy, the Thiele equation is superseded by the [[Carnahan-Starling equation of state]]
[[category: Equations of state]]
[[category: hard sphere]]