Difference between revisions of "Liu hard sphere equation of state"

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: <math>
 
: <math>
S^{ex} = \frac{ S - S^{id}}{Nk_b}= \frac{ 188\eta - 126\eta^2 - 13\eta^4 - \eta^4 }{52(1-\eta)^2 - \frac{5}{13} ln(1-\eta) }.
+
S^{ex} = \frac{ S - S^{id}}{Nk_b}= \frac{ 188\eta - 126\eta^2 - 13\eta^4 }{52(1-\eta)^2} - \frac{5}{13} ln(1-\eta).
 
</math>
 
</math>

Revision as of 00:10, 9 November 2020

Hongqin Liu proposed a correction to the C-S EOS which improved accuracy by almost two order of magnitude [1]:


Z =  \frac{ 1 + \eta + \eta^2 -  \frac{8}{13}\eta^3 - \eta^4 + \frac{1}{2}\eta^5 }{(1-\eta)^3 }.

The conjugate virial coefficient correlation is given by:


B_n =  0.9423n^2 + 1.28846n - 1.84615,  n > 3.

The excess entropy is given by:


S^{ex} = \frac{ S - S^{id}}{Nk_b}= \frac{ 188\eta - 126\eta^2 - 13\eta^4 }{52(1-\eta)^2} - \frac{5}{13} ln(1-\eta).
  1. [1]
  2. Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php?title=Liu_hard_sphere_equation_of_state&oldid=20441"