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The Diffusion of Passive Tracers in Laminar Shear Flow

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Antidispersion in Flows in Leaky Channels.

Yiming Gan¹, Yisen Guo¹, John H Thomas¹

¹University of Rochester, Department of Mechanical Engineering, Rochester, New York 14627, USA.

Physical Review Letters

|November 30, 2025

Summary

This summary is machine-generated.

Researchers discovered "antidispersion," a phenomenon where permeable channel walls consolidate solutes, leading to negative effective axial diffusivity. This contrasts with traditional Taylor dispersion and has implications for drug delivery and desalination.

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Area of Science:

Fluid dynamics
Transport phenomena
Chemical engineering

Background:

Solute transport in channels is crucial for industrial processes, biomechanics, and drug delivery.
Taylor dispersion, an increase in effective axial diffusivity due to shear and diffusion, is a well-understood phenomenon.
Existing models do not account for the effects of permeable channel walls on solute transport.

Purpose of the Study:

To investigate the phenomenon of solute consolidation in channels with permeable walls.
To introduce and define "antidispersion" as a negative effective axial diffusivity.
To develop a theoretical model and provide numerical validation for antidispersion.

Main Methods:

Development of a theoretical model to describe solute transport in channels with permeable walls.
Numerical validation of the theoretical model.
Analysis of conditions leading to antidispersion, including dimensionless permeability and flow speed.

Main Results:

Demonstration of antidispersion in both solute boluses and moving solute fronts.
Identification of conditions favoring antidispersion over dispersion: high dimensionless permeability, moderate dimensionless flow speed, and less steep concentration gradients.
Quantification of the negative effective axial diffusivity characteristic of antidispersion.

Conclusions:

Antidispersion, a novel phenomenon of solute consolidation, occurs in channels with permeable walls.
The findings offer new insights into solute transport mechanisms.
Potential applications include improved understanding of biological systems and enhanced design for drug delivery and desalination processes.