Thiele hard sphere equation of state: Difference between revisions

From SklogWiki
Jump to navigation Jump to search
(Mentioned the Carnahan-Starling equation)
m (Added a reference)
Line 1: Line 1:
{{Stub-general}}
{{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:
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
<ref>[https://doi.org/10.1063/1.1734272 Everett Thiele "Equation of State for Hard Spheres", Journal of Chemical Physics '''39''' 474 (1963)]</ref>.
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>,  
<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>,  
Line 15: Line 17:
[[category: Equations of state]]
[[category: Equations of state]]
[[category: hard sphere]]
[[category: hard sphere]]
==References==
<references/>

Revision as of 20:19, 25 February 2021

This article is a 'stub' page, it has no, or next to no, content. It is here at the moment to help form part of the structure of SklogWiki. If you add sufficient material to this article then please remove the {{Stub-general}} template from this page.

The Thiele hard sphere equation of state is an equation of state for a hard sphere fluid developed by Thiele in 1963 [1]. The equation provides a better approximation of the repulsive forces between molecules than the Van der Waals repulsive term. The equation is given below:

,

where:

is the compressibility factor of the hard sphere fluid;
is the pressure of the fluid;
is the molar volume of the fluid;
is the absolute temperature of the fluid;
is the gas constant; and
is the packing fraction of the fluid.

In terms of accuracy, the Thiele equation is superseded by the Carnahan-Starling equation of state

References