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Updated: Nov 18, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Homogeneous nucleation in a Poiseuille flow
1Materials Program, Department of Chemical and Materials Engineering, University of Kentucky, Lexington, KY 40506, USA. fyang2@uky.edu.
Fluid flow significantly impacts homogeneous nucleation, crucial for nanomaterial synthesis. This study derives equations for critical nucleus size, revealing flow effects on nucleation dynamics in microchannels.
Area of Science:
- Physical Chemistry
- Materials Science
- Fluid Dynamics
Background:
- Nucleation is vital for synthesizing nanomaterials like quantum dots and nanocrystals.
- Understanding nucleation in dynamic environments, such as fluid flow, is critical for manufacturing processes.
Purpose of the Study:
- To investigate the influence of low Reynolds number fluid flow on homogeneous nucleation within a circular microchannel.
- To incorporate configuration entropy and microcluster energies into Gibbs free energy calculations for nucleation.
Main Methods:
- Development of an analytical equation for critical nucleus size determination based on classical nucleation theory.
- Incorporation of momentum-phase space configuration entropy, kinetic energy, and strain energy.
- Numerical analysis of sucrose microcluster nucleation in an aqueous solution within a microchannel.
Main Results:
- An analytical solution for critical nucleus size in liquid nucleation was derived.
- Kinetic and strain energy contributions were found to be negligible for solid nucleus formation.
- Numerical results showed a decrease in critical nucleus size and work of formation with increasing distance from the channel's axis.
Conclusions:
- Fluid flow dynamics, specifically in microchannels, can be modeled to predict nucleation behavior.
- The derived analytical framework provides insights into controlling nanomaterial formation through fluid manipulation.
- The study highlights the spatial variation of nucleation parameters within a flowing system.
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