**Table of Contents**

- Disc Stack Centrifuge Efficiency
- Rated Efficiency
- Rated Efficiency Calculation
- Stokes’ Law
- Factors Affecting Centrifuge Efficiency
- Flow Rate
- Gravity Disc Selection
- Back Pressure
- Process Fluid Temperature
- Operating Water Temperature
- Summary

Users of disc-stack centrifuges often ask about ways to increase the capacity or quality of the effluent from their centrifuge equipment. A handful of considerations have a big impact on centrifuge efficiency.

A disc stack centrifuge’s efficiency is the centrifuge’s effectiveness in separating the different phases in the process fluid. The centrifuge parameter settings and process fluid properties impact centrifuge efficiency. Optimizing these factors helps increase centrifuge efficiency and leads to better separation and higher throughput.

The rated efficiency of a disc centrifuge indicates the maximum ability of the centrifuge to separate particles and fluids. For example, the efficiency of a typical disc-stack centrifuge is at 1-micron particle size, where the particle has a specific gravity of 3 or higher.

For liquid-liquid separation, a disc centrifuge can separate immiscible fluids whose specific gravity difference is less than 0.05. However, multiple factors affect efficiency, as discussed below.

Stoke's law defines the velocity of a solid particle as it travels through a fluid medium. The application of Stokes’s law (shown below) helps us calculate centrifuge efficiency by calculating the terminal velocity of the particles.

V = gRp2(ρp–ρ)/4.5μ

*Where:*V = Terminal Velocity of Particle

R

g = Gravitation or G-Force

ρ

ρ = Density of Fluid

µ = Viscosity of Fluid

From the formula above, we can see that the particle’s velocity in the liquid is directly proportional to the g-force, the difference in specific gravity, and particle size. It is inversely proportional to the viscosity of the fluid.

A disc stack centrifuge’s efficiency is the centrifuge’s effectiveness in separating the different phases in the process fluid. The centrifuge parameter settings and process fluid properties impact centrifuge efficiency. Optimizing these factors helps increase centrifuge efficiency and leads to better separation and higher throughput.

In practical terms, the goal of centrifuge separation is to remove the smallest particle possible quickly! This goal, in turn, means the higher the terminal velocity, the better the separation. The five critical factors listed below are directly related to the variables in Stoke’s law above.

Other disc-centrifuge articles of interest......Disc Centrifuge Backpressure - Comprehensive Guide

9 Steps to Selecting & Buying the Right Industrial Centrifuge

Centrifuge RCF and RPM | Difference & RCF Calculation

Disadvantages of a Disc-Stack Centrifuge | Illustrated Guide

Difference Between Decanter & Disc Centrifuge | Technical Comparison

For a given centrifuge for a specific application, the primary physical attributes such as bowl speed (RPM) and, therefore, the RCF are fixed. The inherent fluid properties are also mostly predefined. The following factors affect centrifuge efficiency; some or all of them are adjustable by the centrifuge operator.

The flow rate is not directly related to Stokes’ equation above, but it is inversely proportional to the particles’ residence time in the bowl. Based on the liquid and solid particle properties, the velocity is fixed. Therefore, a higher residence time gives the particles more time to reach the bowl wall and separate.

In real terms, a lower flow rate (GPM) lends to higher residence time, which means better separation. Conversely, a higher flow rate means lesser retention time, leading to worse separation results.

The following graph demonstrates the inverse relationship between a disc centrifuge's flow rate and solids separation efficiency.

The following table contains the actual data of this real-world test conducted by Dolphin Centrifuge.

Centrifuge Type | Alfa Laval ‘Self-Cleaning’ Disc-Stack Centrifuge WHPX-405 |

Process Fluid | Wastewater with Suspended Solids Contamination |

Original Sample Contamination (%v/v) | 3.2% |

Solids @ 14 GPM | 0.98% |

Solids @ 12 GPM | 0.93% |

Solids @ 10 GPM | 0.90% |

Solids @ 8 GPM | 0.85% |

Solids @ 6 GPM | 0.79% |

Solids @ 4 GPM | 0.72% |

Solids @ 2 GPM | 0.62% |

Optimization of the centrifuge is nothing more than adjusting the centrifuge physically to allow the centrifuge to exert maximum G-force on the particles, thereby increasing separation efficiency.

For example, in the case of clarification (liquid/solid separation), installing a clarifier gravity disc in the bowl fills the bowl with the fluid. A full bowl forces the particles to travel longer through the disc stack toward the bowl center. The extended path means more residence time for the same flow rate leading to higher separation efficiency.

Selecting a gravity disc for a disc centrifuge involves using a nomogram (shown above). The typical process is to choose the curve representing the density ratio (left) of the two liquids (915 kg/m3). Then follow the curve to the process temperature vertical grid (120 F). At this point, draw a horizontal line towards the right into the gravity disc zones chart. The intersection of this horizontal line with the vertical grid representing the flow rate (15 GPM) defines the gravity disc size (92 mm).

It is worth noting that gravity discs come in size increments. In other words, there is one gravity disc for a range of fluid densities. To improve centrifuge efficiency, the operator can fine-tune this range by using custom gravity discs closer to the actual fluid properties.

Following the limitations mentioned above of gravity disc availability in size increment, centrifuge back-pressure (on the light phase) comes into play. Increasing the back pressure on the clean fluid outlet (refer to the bowl cross-section diagram below) tends to push the oil/water interface outwards. This pressure adjustment can be seen as ‘fine-tuning’ the gravity disc size through back-pressure increase. The interface movement leads to higher g-forces acting on the oil, which leads to cleaner oil or higher centrifuge efficiency.

One should note that increasing the back pressure beyond a certain point can lead to the interface moving past the top disc. This condition leads to the light phase (oil) exiting the bowl through the water outlet and is called a ‘break-over’ condition and is not desirable.

*Please read our 101 Frequently Asked Questions about Disc Stack Centrifuges!*

Fluid temperature is inversely proportional to the fluid viscosity of thicker or higher viscosity fluids. Increasing the liquid’s temperature reduces viscosity, which helps increase the velocity per Stokes’ law above. This factor goes back to the fluid properties discussed above.

In practice, higher process fluid temperature results in lower viscosity, which lead to better separation efficiency.

A ‘self-cleaning’ disc-centrifuge uses operating water’ to operate the sludge discharge mechanism for automatic sludge ejection. The above bowl cross-section diagram shows the operating water chamber inside the bowl bottom. The process fluid is in the chamber above the operating water chamber and is separated by the sliding piston.

The fluid temperature is critical for efficient separation when viscous fluids are processed, as explained above in the ‘Process Fluid Temperature’ section. These fluids are processed at maximum processing temperature to get maximum separation efficiency.

If the operating water is cold, it has a cooling effect on the incoming hot process fluid. This effect is because the sliding piston (steel) losses heat to the cold operating water and cool down the process fluid.

Therefore, the operating water's temperature should be as close to the temperature of the process fluid as possible. This consideration has higher separation efficiency.

A disc centrifuge efficiency is optimized by tweaking some physical aspects of the centrifuge machine and controlling the process fluid parameters described above.

Under certain conditions, these centrifuge and process fluid adjustments can lead to dramatic increases in efficiency, which leads to higher throughput and better quality products.

*by Sanjay Prabhu MSME**Engineering Manager, Dolphin Centrifuge*

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