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Intrusion of a Liquid Droplet into a Powder under Gravity
C M Boyce1, A Ozel1, S Sundaresan1
1Department of Chemical and Biological Engineering, Princeton University , Princeton 08544, United States.
Langmuir : the ACS Journal of Surfaces and Colloids
|August 4, 2016
Summary
This study reveals four distinct liquid behaviors when a droplet enters a sphere packing under gravity. These regimes depend on liquid properties and are predictable using a simplified capillary model.
Area of Science:
- Fluid dynamics
- Materials science
- Physics
Background:
- Understanding liquid behavior in porous media is crucial for various industrial applications.
- Hexagonal close-packed (HCP) structures are common in granular materials and packed beds.
Purpose of the Study:
- To investigate the intrusion dynamics of a liquid droplet into an HCP sphere array under gravity.
- To identify and map the distinct regimes of ultimate fluid behavior.
Main Methods:
- Employed analytical methods and volume-of-fluid (VOF) simulations.
- Developed a simplified capillary model to capture key dynamics.
- Formulated momentum transport equations based on the simplified model.
Main Results:
- Identified four ultimate fluid behavior regimes: no imbibition, high trapping, bottom descent, and surface spreading.
- Regimes were successfully mapped based on contact angle and Bond number.
- The simplified model effectively collapsed simulation data across different regimes and fluid parameters.
Conclusions:
- The study provides a comprehensive understanding of liquid droplet intrusion in packed spheres.
- The developed model offers a predictive tool for liquid behavior in granular systems.
- Contact angle and Bond number are key parameters governing liquid-sphere interactions.
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