Mechanistic basis for particle detachment from granular media

Area of Science:

• Environmental science
• Physical chemistry
• Fluid dynamics

Background:

• Colloidal particles detach from surfaces in environmental systems due to chemical and physical factors.
• Previous research often lacks mechanistic and quantitative descriptions of colloidal detachment.
• Understanding particle detachment is crucial for various environmental and engineering applications.

Purpose of the Study:

• To develop a quantitative mathematical construct for particle detachment from surfaces in granular media.
• To determine the combined effects of thermodynamics and hydrodynamics on colloidal detachment.
• To elucidate conditions conducive to particle detachment in porous media.

Main Methods:

• Utilized the Buckingham pi theorem to structure a mathematical model.
• Developed governing dimensionless groupings to represent physical phenomena.
• Compared the developed mathematical model with published experimental data.

Main Results:

• A mathematical model was successfully developed to quantitatively determine particle detachment.
• Dimensionless numbers were identified that elucidate detachment conditions.
• The model demonstrated utility when compared against published detachment data.

Conclusions:

• The presented mathematical construct effectively quantifies the influence of thermodynamics and hydrodynamics on particle detachment.
• The model provides a framework for predicting detachment in engineered and natural porous media.
• This approach has broad applicability in scenarios involving fluid-particle interactions in porous media.