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Simulation of Flow in Bidisperse Sphere Packings
1Army High Performance Computing Research Center, 1100 Washington Avenue South, Minneapolis, Minnesota, 55415
Journal of Colloid and Interface Science
|September 2, 1999
Summary
The Kozeny-Carman relation accurately describes fluid flow in both uniform and mixed-size sphere packings. This study confirms its validity across various conditions, highlighting similar pore-size and flow distributions.
Area of Science:
- Fluid dynamics
- Porous media physics
- Computational science
Background:
- The Kozeny-Carman (KC) relation is a widely used model for fluid flow through porous media.
- Understanding flow behavior in granular materials is crucial for various engineering applications.
Purpose of the Study:
- To investigate the applicability of the Kozeny-Carman relation to bidisperse sphere packings.
- To analyze fluid velocity distributions in pore spaces under a uniform pressure gradient.
Main Methods:
- Utilized simulation methods to construct bidisperse, random sphere packings.
- Calculated fluid velocities within the pore spaces under a uniform pressure gradient.
Main Results:
- The Kozeny-Carman relation was validated for monodisperse and bidisperse sphere packings (r(1)/r(2) = 2.6).
- A consistent KC parameter value (C = 5) was observed across different compositions and Reynolds numbers.
- Pore-size distributions were Gaussian, and normalized longitudinal velocity distributions collapsed onto an exponential function.
Conclusions:
- The Kozeny-Carman relation holds for bidisperse sphere packings, supporting its general applicability.
- The similarity between pore-size and flow distributions was confirmed.
- Simulation results provide insights into fluid dynamics in complex granular systems.