Chapter 5 Modeling of Classification Processes (Screens and Hydrocyclones)



馃摌 Chapter 5

Modeling of Classification Processes
(Screens and Hydrocyclones)


5.1 Introduction to Classification

After comminution, mineral particles have a wide range of sizes. It is necessary to separate particles based on size so that fine particles can move forward for separation and coarse particles can be sent back for further grinding.

This process of separating particles according to size is known as classification.

Classification plays a critical role in controlling product size and improving the efficiency of mineral processing circuits.


5.2 Definition of Classification

Definition

Classification is the process of separating particles into different size fractions using a separating medium such as screens or fluids.

Classification does not break particles. It only separates them based on size or settling behavior.


5.3 Importance of Classification

Classification is necessary because:

  • It prevents over-grinding of fine particles

  • It reduces energy consumption

  • It improves separation efficiency

  • It controls the final product size

Without proper classification, mineral processing circuits become inefficient and uneconomical.


5.4 Types of Classification Equipment

The most commonly used classification equipment in mineral processing are:

  • Screens

  • Hydrocyclones

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5.5 Ideal and Actual Classification

Ideal Classification

  • All particles smaller than the cut size go to the fine stream

  • All particles larger than the cut size go to the coarse stream

Actual Classification

  • Some fine particles report to coarse stream

  • Some coarse particles report to fine stream

Thus, classification is never perfect.


5.6 Partition Curve

Definition

A partition curve shows the probability of particles of different sizes reporting to one of the product streams.

  • X-axis: particle size

  • Y-axis: fraction of particles reporting to coarse stream

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5.7 Cut Size (d₅₀)

Definition

The cut size (d₅₀) is the particle size at which 50% of the particles report to the coarse stream and 50% report to the fine stream.

The cut size represents the dividing line between coarse and fine particles.

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5.8 Sharpness of Classification

Definition

Sharpness of classification indicates how well a classifier separates particles by size.

  • Sharp curve → good separation

  • Flat curve → poor separation

A sharper partition curve indicates higher classification efficiency.


5.9 Classification Using Screens

Screens separate particles based on physical size.

Working Principle

  • Particles smaller than the screen aperture pass through

  • Larger particles are retained on the screen surface

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5.10 Screen Performance Modeling

Screen performance depends on:

  • Aperture size

  • Particle size

  • Screen vibration

  • Feed rate

Screen models estimate the probability of particle passage through the screen.


5.11 Classification Using Hydrocyclones

Hydrocyclones separate particles using centrifugal force generated by swirling slurry.

Working Principle

  • Coarse particles move outward and exit through underflow

  • Fine particles move inward and exit through overflow

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5.12 Important Hydrocyclone Models

1. Lynch Model

  • Uses partition curve approach

  • Based on experimental observations

  • Widely used in simulation

2. Plitt Model

  • Predicts cut size (d₅₀)

  • Considers cyclone geometry and operating conditions

These models help predict cyclone performance without conducting plant trials.


5.13 Classification Efficiency

Definition

Classification efficiency measures how effectively particles are separated according to size.

Efficiency depends on:

  • Feed size distribution

  • Feed pressure

  • Pulp density

  • Cyclone dimensions


5.14 Role of Classification in Closed-Circuit Grinding

In closed-circuit grinding systems:

  • The mill reduces particle size

  • The classifier separates fine and coarse particles

  • Coarse particles are returned to the mill

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Classification controls the circulating load and final product size.


5.15 Classification in Simulation

In mineral processing simulation:

  • Feed PSD is given as input

  • Classification models apply partition logic

  • Output PSD is calculated for coarse and fine streams

Simulation software uses classification models to predict circuit behavior.


5.16 Summary

  • Classification separates particles based on size

  • Screens and hydrocyclones are common classifiers

  • Partition curve represents separation behavior

  • d₅₀ is the cut size

  • Sharpness indicates quality of separation

  • Classification is essential in closed-circuit grinding


5.17 Important Examination Questions

  1. Define classification

  2. Explain partition curve

  3. Define cut size (d₅₀)

  4. Explain sharpness of classification

  5. Explain working of screens

  6. Explain working of hydrocyclones

  7. Explain the role of classification in grinding circuits



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