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Critical angle of wet sandpiles
T G Mason1, A J Levine, D Ertaş
1Corporate Research, Exxon Research and Engineering Co., Route 22 East, Annandale, New Jersey 08801, USA.
Summary
Adding liquid to sand increases its maximum stable angle by creating cohesion. This effect depends on liquid volume fraction and surface roughness, not just surface tension.
Area of Science:
- Physics of granular materials
- Surface science
- Colloid science
Background:
- The maximum stable angle of a sandpile (angle of repose) is a key property of granular materials.
- Adding liquids can induce cohesion between grains, altering bulk properties.
- Understanding the role of liquid properties and grain surface characteristics is crucial.
Purpose of the Study:
- To investigate how the addition of liquid affects the maximum stable angle of a sandpile.
- To determine the relationship between liquid volume fraction, surface tension, and sandpile stability.
- To explore the micro-scale mechanisms of liquid-induced cohesion in granular systems.
Main Methods:
- Measurement of the maximum stable angle, theta(c), of sandpiles with varying liquid volume fractions, phi.
- Systematic variation of liquid properties, including surface tension.
- Microscopic analysis (electron and fluorescence microscopy) of grain surfaces.
Main Results:
- The angle of repose, theta(c), increases with liquid volume fraction, phi.
- tan theta(c) showed no clear scaling with surface tension at low phi, but did at higher phi.
- Microscopy revealed liquid menisci formation at grain asperities and contact points.
Conclusions:
- Liquid-induced cohesion in sandpiles is a multi-stage process involving surface asperities and intergrain contacts.
- A surface roughness theory accurately describes the cohesive limit of sandpile stability.
- The findings support a model where liquid bridges form initially at surface irregularities before contributing to bulk cohesion.