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Related Experiment Video

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Analyzing Mixing Inhomogeneity in a Microfluidic Device by Microscale Schlieren Technique

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Published on: June 12, 2015

Granular mixing and segregation in zigzag chute flow.

Suman K Hajra¹, Deliang Shi, J J McCarthy

¹Department of Chemical and Petroleum Engineering, University of Pittsburgh, Pittsburgh, Pennsylvania 15261 USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 2, 2013

Summary

Periodic flow inversions effectively eliminate particle segregation. This study focuses on size segregation (S system) and identifies mixing conditions based on chute geometry and flow velocity, crucial for determining optimal inversion frequencies.

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Area of Science:

Physics of granular materials
Fluid dynamics
Particle segregation phenomena

Background:

Periodic flow inversions are established methods for mitigating density (D system) and size (S system) segregation in granular flows.
The effectiveness of flow inversions is critically dependent on their frequency, which relates to the characteristic segregation time.

Purpose of the Study:

To investigate size segregation (S system) using a modified segregation model.
To determine the critical forcing frequency for size segregation by analyzing the impact of chute geometry and particle flow velocity.
To complement existing models for density segregation.

Main Methods:

Adaptation and application of a size segregation model.
Analysis of the influence of binary size ratio and zigzag chute leg length on mixing and segregation.
Derivation of a mixing condition based on chute length, particle velocity, and characteristic segregation time.

Main Results:

The study quantifies the impact of geometric parameters (zigzag chute leg length) and flow dynamics (average streamwise velocity) on size segregation.
A critical condition for mixing in size-segregated systems was identified: mixing occurs when the leg length (L) is less than the product of average streamwise flow velocity (U) and the characteristic time of segregation (tS).

Conclusions:

The findings provide a framework for understanding and controlling size segregation in granular flows through engineered geometries and flow conditions.
The derived mixing condition (L < U tS) is essential for designing systems that leverage periodic flow inversions to achieve effective mixing and prevent segregation.