### Abstract

We solved the sedimentation equilibrium problem using a generalized flash algorithm, in which we specify the temperature, global particle number density, total volume, and height of the system. The minimization of a thermodynamic potential that takes into account the effect of the gravitational field yields the equilibrium distribution profiles. We used a hard-sphere-mixture equation of state as the thermodynamic model. The results showed to be in good agreement with both experimental data for identical spheres and Monte Carlo simulations for binary systems. We also present a methodology suitable to calculate sedimentation equilibrium in more complex systems, containing more than one solid, each of them characterized by its own size distribution.

Original language | English |
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Pages (from-to) | 3771-3779 |

Number of pages | 9 |

Journal | Chemical Engineering Science |

Volume | 56 |

Issue number | 12 |

DOIs | |

Publication status | Published - 21 Jun 2001 |

Externally published | Yes |

### Fingerprint

### Keywords

- Colloidal suspensions
- Equations of state
- Mixtures
- Phase equilibria
- Sedimentataion
- Spheres

### ASJC Scopus subject areas

- Chemical Engineering(all)

### Cite this

*Chemical Engineering Science*,

*56*(12), 3771-3779. https://doi.org/10.1016/S0009-2509(01)00094-X

**Calculation of sedimentation equilibrium using a modified flash algorithm.** / Castier, M.; Espósito, R. O.; Tavares, F. W.; Peçanha, R. P.

Research output: Contribution to journal › Article

*Chemical Engineering Science*, vol. 56, no. 12, pp. 3771-3779. https://doi.org/10.1016/S0009-2509(01)00094-X

}

TY - JOUR

T1 - Calculation of sedimentation equilibrium using a modified flash algorithm

AU - Castier, M.

AU - Espósito, R. O.

AU - Tavares, F. W.

AU - Peçanha, R. P.

PY - 2001/6/21

Y1 - 2001/6/21

N2 - We solved the sedimentation equilibrium problem using a generalized flash algorithm, in which we specify the temperature, global particle number density, total volume, and height of the system. The minimization of a thermodynamic potential that takes into account the effect of the gravitational field yields the equilibrium distribution profiles. We used a hard-sphere-mixture equation of state as the thermodynamic model. The results showed to be in good agreement with both experimental data for identical spheres and Monte Carlo simulations for binary systems. We also present a methodology suitable to calculate sedimentation equilibrium in more complex systems, containing more than one solid, each of them characterized by its own size distribution.

AB - We solved the sedimentation equilibrium problem using a generalized flash algorithm, in which we specify the temperature, global particle number density, total volume, and height of the system. The minimization of a thermodynamic potential that takes into account the effect of the gravitational field yields the equilibrium distribution profiles. We used a hard-sphere-mixture equation of state as the thermodynamic model. The results showed to be in good agreement with both experimental data for identical spheres and Monte Carlo simulations for binary systems. We also present a methodology suitable to calculate sedimentation equilibrium in more complex systems, containing more than one solid, each of them characterized by its own size distribution.

KW - Colloidal suspensions

KW - Equations of state

KW - Mixtures

KW - Phase equilibria

KW - Sedimentataion

KW - Spheres

UR - http://www.scopus.com/inward/record.url?scp=0035927599&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035927599&partnerID=8YFLogxK

U2 - 10.1016/S0009-2509(01)00094-X

DO - 10.1016/S0009-2509(01)00094-X

M3 - Article

VL - 56

SP - 3771

EP - 3779

JO - Chemical Engineering Science

JF - Chemical Engineering Science

SN - 0009-2509

IS - 12

ER -