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Updated: Mar 8, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
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Macroscopic liquid-state molecular hydrodynamics.

R G Keanini1, Peter T Tkacik1, Eric Fleischhauer1

  • 1The University of North Carolina at Charlotte, Department of Mechanical Engineering and Engineering Science, Charlotte, NC, 28223, USA.

Scientific Reports
|February 1, 2017
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Summary
This summary is machine-generated.

Granular materials vibrated at low amplitudes mimic liquid dynamics. New macroscopic models connect grain behavior to molecular hydrodynamics, enabling study of complex fluid phenomena.

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Area of Science:

  • Physics
  • Soft Matter Physics
  • Statistical Mechanics

Background:

  • Molecular hydrodynamics in liquids are challenging to study directly at the molecular scale.
  • Granular materials offer potential as macroscopic analogs for molecular systems.
  • Previous models have not fully bridged granular dynamics with molecular hydrodynamics.

Purpose of the Study:

  • To establish granular materials as experimental analogs for liquid-state molecular hydrodynamics.
  • To develop new macroscopic statistical mechanics models for granular systems.
  • To connect observable granular dynamics to fundamental hydrodynamic processes.

Main Methods:

  • Experimental studies of confined, high-restitution granular piles under low-amplitude vibration.
  • Theoretical modeling recasting microscale statistical mechanics into a self-consistent macroscale form.
  • Derivation of continuum equations for viscous, liquid-like granular flow from the new models.

Main Results:

  • Observed granular dynamics (single-grain and collective) that mimic molecular liquid behaviors.
  • Demonstrated hydrodynamic organization on near-collision time scales.
  • Showcased long-time scale excitation of collective modes and emergence of viscous flow.

Conclusions:

  • Vibrated granular systems provide accessible analogs for studying liquid hydrodynamics.
  • Novel macroscopic models successfully link granular physics to molecular hydrodynamic principles.
  • The derived continuum equations allow for physically consistent interpretation of granular flow.