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Updated: Jun 25, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow
Published on: May 1, 2018
Dynamics of a self-interacting sheet in shear flow
William T Funkenbusch1, Kevin S Silmore1, Patrick S Doyle1
1Massachusetts Institute of Technology Department of Chemical Engineering, 25 Ames St, Cambridge MA, 02139, USA. pdoyle@mit.edu.
Understanding 2D material behavior in solution is key for applications. This study reveals how Lennard-Jones interactions in shear flow create diverse 2D sheet conformations, influencing material properties.
Area of Science:
- Materials Science
- Fluid Dynamics
- Computational Physics
Background:
- Solution processing of 2D materials like graphene is crucial for technological applications.
- A fundamental understanding of the dynamic behavior of 2D materials in solution is currently lacking.
Purpose of the Study:
- To investigate the conformational dynamics of 2D sheets in shear flow, incorporating short-ranged Lennard-Jones interactions.
- To explore the rich conformational landscape and classify the resulting sheet structures.
Main Methods:
- Extension of previous computational models by incorporating Lennard-Jones interactions into 2D sheets subjected to shear flow.
- Analysis of conformational properties based on shear strength, bending rigidity, interaction strength, and initial configuration.
Main Results:
- The addition of Lennard-Jones interactions leads to a diverse range of 2D sheet conformations, including flat, tumbling, 1D folded, and 2D folded states.
- Kinetic and energetic analyses explain the adoption of specific conformations within the folded regime.
- Calculated stresslet reveals shear-thinning followed by shear-thickening behavior, even without thermal fluctuations or multi-sheet interactions.
Conclusions:
- Short-ranged interactions significantly influence the conformational behavior of 2D materials in shear flow.
- The observed conformational diversity and rheological properties have implications for the solution processing and application of 2D materials.
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