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Extended hard-sphere model and collisions of cohesive particles
Pawel Kosinski1, Alex C Hoffmann
1The University of Bergen, Department of Physics and Technology, Allegt 55, N-5007 Bergen, Norway.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 9, 2011
Summary
This study enhances a hard-sphere particle collision model to better simulate dry particle interactions, crucial for Lagrangian fluid flow simulations. It quantifies cohesive forces for improved accuracy in modeling dust and granular flows.
Area of Science:
- Physics
- Computational Fluid Dynamics
- Materials Science
Background:
- Particle-fluid flow simulations using the Lagrangian approach are increasingly popular.
- Existing hard-sphere models require modification to account for particle adhesion.
- Accurate modeling of cohesive interactions is vital for simulating phenomena like dust transport.
Purpose of the Study:
- To provide an improved quantification of adhesive and cohesive interactions for dry particle collisions.
- To extend the existing hard-sphere particle collision model.
- To develop a cohesive impulse calculation method for use in Lagrangian simulations.
Main Methods:
- Modified standard hard-sphere particle-wall and particle-particle collision models.
- Incorporated Johnson-Kendall-Roberts (JKR) analysis for collision dynamics.
- Included dissipative forces using a soft-sphere modeling technique.
- Applied dimensional analysis to derive an analytical expression for cohesive impulse.
Main Results:
- Calculated cohesive impulse, collision duration, and restitution coefficient for dry particle collisions.
- Developed an analytical expression for cohesive impulse based on dimensional analysis.
- Validated the model with simulation results illustrating its application.
Conclusions:
- The improved quantification of cohesive interactions enhances the accuracy of hard-sphere models for dry particle flows.
- The developed analytical expression for cohesive impulse is suitable for integration into Lagrangian particle-fluid flow simulations.
- This work contributes to more realistic simulations of granular flows, dust transport, and other particle-laden systems.
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