Equations of state for hard sphere mixtures

From SklogWiki

Jump to: navigation, search

Mixtures of hard spheres.

1 Mansoori, Carnahan, Starling, and Leland
2 Santos, Yuste and López De Haro
3 Hansen-Goos and Roth
4 References

[edit] Mansoori, Carnahan, Starling, and Leland

The Mansoori, Carnahan, Starling, and Leland equation of state is given by (Ref. 1 Eq. 7):

$Z = \frac{(1+\xi + \xi^2)- 3\xi(y_1 + y_2 \xi) -\xi^3y_3 }{(1-\xi)^{-3}}$

where

$\xi = \sum_{i=1}^m \frac{\pi}{6} \rho \sigma_i^3 x_i$

where $m$ is the number of components, $σ i$ is the diameter of the $i$ th component, and $x i$ is the mole fraction, such that $\sum_{i=1}^m x_i =1$ .

$y_1 = \sum_{j>i=1}^m \Delta_{ij} \frac{\sigma_i + \sigma_j}{\sqrt{\sigma_i \sigma_j}}$

$y_2 = \sum_{j>i=1}^m \Delta_{ij} \sum_{k=1}^m \left(\frac{\xi_k}{\xi} \right) \frac{\sqrt{\sigma_i \sigma_j}}{\sigma_k}$

$y_3 = \left[ \sum_{i=1}^m \left(\frac{\xi_i}{\xi} \right)^{2/3} x_i^{1/3} \right]^3$

$\Delta_{ij} = \frac{\sqrt{\xi_i \xi_j}}{\xi} \frac{(\sigma_i - \sigma_j)^2}{\sigma_i \sigma_j} \sqrt{x_i x_j}$

[edit] Santos, Yuste and López De Haro

Ref. 2

[edit] Hansen-Goos and Roth

Ref. 3 Based on the Carnahan-Starling equation of state

[edit] References

Retrieved from "http://www.sklogwiki.org/SklogWiki/index.php/Equations_of_state_for_hard_sphere_mixtures"

Category: Equations of state

Equations of state for hard sphere mixtures

From SklogWiki

Contents

[edit] Mansoori, Carnahan, Starling, and Leland

[edit] Santos, Yuste and López De Haro

[edit] Hansen-Goos and Roth

[edit] References

Views

Personal tools

Navigation

Help

Search

Toolbox