An extended and total flux normalized correlation equation for predicting single-collector efficiency

Area of Science:

• Fluid dynamics
• Particle transport phenomena
• Chemical engineering

Background:

• Predicting single-collector efficiency is crucial for optimizing processes involving particle deposition.
• Existing models often simplify transport mechanisms and particle characteristics, limiting their applicability.
• The additivity approach by Yao et al. (1971) has been a standard but has limitations.

Purpose of the Study:

• To propose a novel, total flux-normalized correlation equation for predicting single-collector efficiency.
• To develop a more accurate model that accounts for the complex interactions of transport mechanisms and particle size.
• To provide a versatile equation applicable to a broad range of parameters and particle types.

Main Methods:

• Developed a correlation equation based on combined Eulerian and Lagrangian simulations.
• Utilized a sphere-in-cylinder geometry under Smoluchowski-Levich conditions.
• Normalized deposited flux by considering all entering particles, not just convective flux.
• Employed hierarchical parameter estimation for term independence and interaction analysis.

Main Results:

• The proposed correlation equation accurately predicts single-collector efficiency across a wide parameter range.
• The equation incorporates mixed terms for mutual interactions of advection, gravity, Brownian motion, and steric effects.
• Efficiency values are consistently below one, reflecting a more realistic flux normalization.
• The model is valid for both point and finite-size particles and includes porosity dependency.

Conclusions:

• The novel correlation equation offers a significant advancement in predicting single-collector efficiency.
• It provides a more comprehensive understanding of particle transport and deposition mechanisms.
• The equation's flexibility and accuracy make it valuable for various scientific and engineering applications.