Equations of state for hard sphere mixtures: Difference between revisions
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The following are [[equations of state]] for [[mixtures]] of [[hard sphere model | hard spheres]]. | |||
==Mansoori, Carnahan, Starling, and Leland== | ==Mansoori, Carnahan, Starling, and Leland== | ||
The Mansoori, Carnahan, Starling, and Leland equation of state is given by (Ref. 1 Eq. 7): | The Mansoori, Carnahan, Starling, and Leland equation of state is given by (Ref. 1 Eq. 7): | ||
:<math>Z = \frac{(1+\xi + \xi^2)- 3\xi(y_1 + y_2 \xi) -\xi^3y_3 }{(1-\xi)^{ | :<math>Z = \frac{(1+\xi + \xi^2)- 3\xi(y_1 + y_2 \xi) -\xi^3y_3 }{(1-\xi)^{3}}</math> | ||
where | where | ||
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#[http://dx.doi.org/10.1063/1.2187491 Hendrik Hansen-Goos and Roland Roth "A new generalization of the Carnahan-Starling equation of state to additive mixtures of hard spheres", Journal of Chemical Physics '''124''' 154506 (2006)] | #[http://dx.doi.org/10.1063/1.2187491 Hendrik Hansen-Goos and Roland Roth "A new generalization of the Carnahan-Starling equation of state to additive mixtures of hard spheres", Journal of Chemical Physics '''124''' 154506 (2006)] | ||
[[category: equations of state]] | [[category: equations of state]] | ||
[[category: mixtures]] |
Latest revision as of 22:26, 15 July 2011
The following are equations of state for mixtures of hard spheres.
Mansoori, Carnahan, Starling, and Leland[edit]
The Mansoori, Carnahan, Starling, and Leland equation of state is given by (Ref. 1 Eq. 7):
where
where is the number of components, is the diameter of the th component, and is the mole fraction, such that .
Santos, Yuste and López De Haro[edit]
Ref. 2
Hansen-Goos and Roth[edit]
Ref. 3 Based on the Carnahan-Starling equation of state
References[edit]
- G. A. Mansoori, N. F. Carnahan, K. E. Starling, and T. W. Leland, Jr. "Equilibrium Thermodynamic Properties of the Mixture of Hard Spheres", Journal of Chemical Physics 54 pp. 1523-1525 (1971)
- Andrés Santos; Santos Bravo Yuste; Mariano López De Haro "Equation of state of a multicomponent d-dimensional hard-sphere fluid", Molecular Physics 96 pp. 1-5 (1999)
- Hendrik Hansen-Goos and Roland Roth "A new generalization of the Carnahan-Starling equation of state to additive mixtures of hard spheres", Journal of Chemical Physics 124 154506 (2006)