### Abstract

A mathematical model is proposed to calculate the total separation effectiveness in terms of GT for a disk stack centrifuge taking account of the variation of the centrifugal force with a position in the disk. In practice, the centrifuge ability/force is often referred as Relative Centrifugal Force (RCF) or G number, which is a multiple of the centrifugal acceleration over the gravitational acceleration. As the radial velocity varies it is important to integrate the relative centrifuge force, here in terms of the G number along the path taking account of the change in velocity. The separation effectiveness, GT is defined as an integrated product of local G number, G(x) and local residential time (dt), where dt is the time taken for the bulk fluid to traverse a distance from r to r+ dr. The GT value calculated for a disk type centrifuge can be compared with the GT value of others and compared with a bench top fixed rotor centrifuge. An industrial centrifuge would be expected to be able to deliver similar separation performance to a pilot or a lab scale one, if operated at the same/similar value of GT. This would allow the performance of a full-scale clarifier to be predicted. This model is, in essence, a simple alternative to the Sigma concept.

Original language | English |
---|---|

Journal | Separation Science and Technology (Philadelphia) |

Early online date | 1 Jul 2019 |

DOIs | |

Publication status | E-pub ahead of print - 1 Jul 2019 |

### Keywords

- Centrifuge
- separation scaling

### ASJC Scopus subject areas

- Chemistry(all)
- Chemical Engineering(all)
- Process Chemistry and Technology
- Filtration and Separation

### Cite this

*Separation Science and Technology (Philadelphia)*. https://doi.org/10.1080/01496395.2019.1636820

**Analysis and estimation/prediction of the disk stack centrifuge separation performance–Scaling from benchtop fixed rotor type to disk stack centrifuges.** / Yang, Mengyan; Liu, Xiaolin; Howell, John A.; Cheng, Hui.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Analysis and estimation/prediction of the disk stack centrifuge separation performance–Scaling from benchtop fixed rotor type to disk stack centrifuges

AU - Yang, Mengyan

AU - Liu, Xiaolin

AU - Howell, John A.

AU - Cheng, Hui

PY - 2019/7/1

Y1 - 2019/7/1

N2 - A mathematical model is proposed to calculate the total separation effectiveness in terms of GT for a disk stack centrifuge taking account of the variation of the centrifugal force with a position in the disk. In practice, the centrifuge ability/force is often referred as Relative Centrifugal Force (RCF) or G number, which is a multiple of the centrifugal acceleration over the gravitational acceleration. As the radial velocity varies it is important to integrate the relative centrifuge force, here in terms of the G number along the path taking account of the change in velocity. The separation effectiveness, GT is defined as an integrated product of local G number, G(x) and local residential time (dt), where dt is the time taken for the bulk fluid to traverse a distance from r to r+ dr. The GT value calculated for a disk type centrifuge can be compared with the GT value of others and compared with a bench top fixed rotor centrifuge. An industrial centrifuge would be expected to be able to deliver similar separation performance to a pilot or a lab scale one, if operated at the same/similar value of GT. This would allow the performance of a full-scale clarifier to be predicted. This model is, in essence, a simple alternative to the Sigma concept.

AB - A mathematical model is proposed to calculate the total separation effectiveness in terms of GT for a disk stack centrifuge taking account of the variation of the centrifugal force with a position in the disk. In practice, the centrifuge ability/force is often referred as Relative Centrifugal Force (RCF) or G number, which is a multiple of the centrifugal acceleration over the gravitational acceleration. As the radial velocity varies it is important to integrate the relative centrifuge force, here in terms of the G number along the path taking account of the change in velocity. The separation effectiveness, GT is defined as an integrated product of local G number, G(x) and local residential time (dt), where dt is the time taken for the bulk fluid to traverse a distance from r to r+ dr. The GT value calculated for a disk type centrifuge can be compared with the GT value of others and compared with a bench top fixed rotor centrifuge. An industrial centrifuge would be expected to be able to deliver similar separation performance to a pilot or a lab scale one, if operated at the same/similar value of GT. This would allow the performance of a full-scale clarifier to be predicted. This model is, in essence, a simple alternative to the Sigma concept.

KW - Centrifuge

KW - separation scaling

UR - http://www.scopus.com/inward/record.url?scp=85068510154&partnerID=8YFLogxK

U2 - 10.1080/01496395.2019.1636820

DO - 10.1080/01496395.2019.1636820

M3 - Article

AN - SCOPUS:85068510154

JO - Separation Science and Technology

JF - Separation Science and Technology

SN - 0149-6395

ER -