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Updated: Jun 10, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

da Vinci fluids, catch-up dynamics and dense granular flow.

R Blumenfeld¹, S F Edwards, M Schwartz

¹Institute of Shock Physics, Imperial College, London, UK. rbb11@cam.ac.uk

The European Physical Journal. E, Soft Matter

|July 30, 2010

Summary

We introduce a da Vinci fluid model, dominated by solid friction, exhibiting dense granular fluid behavior like plug flow. Plug regions grow with a characteristic (time)¹(/)³ rate, applicable to granular materials.

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Area of Science:

Physics
Rheology
Materials Science

Background:

Dense granular flows exhibit complex rheological behaviors.
Understanding friction's role in fluid dynamics is crucial for granular materials.

Purpose of the Study:

Introduce and analyze a novel "da Vinci fluid" model.
Investigate the emergence and dynamics of plug flow in granular fluids.
Determine the growth rate of plug regions.

Main Methods:

Analysis of a discrete model for flow rheology.
Coarse-graining the discrete model to a continuum description.
Mathematical analysis of plug nucleation and expansion.

Main Results:

The da Vinci fluid model replicates dense granular fluid behavior, including plug flow.
Plug boundaries expand, with a characteristic linear growth rate of (time)¹(/)³ for uniform friction.
The model provides insights into plug nucleation and development.

Conclusions:

The da Vinci fluid model offers a valuable framework for studying granular materials.
Solid friction plays a dominant role in the observed plug flow dynamics.
The findings contribute to the understanding of rheology in granular systems.