Cumulative frequency fit for particle size distribution

Area of Science:

• Engineering
• Environmental Science
• Materials Science

Background:

• Particle size distribution is critical in understanding exhaust emissions from heavy-duty diesel engines.
• Ultra-fine and nano-sized particles pose significant environmental and health concerns.
• Existing methods for particle size analysis may lack sufficient accuracy for these small particles.

Purpose of the Study:

• To present a more accurate method for analyzing particle size distributions.
• To develop a practical tool for analyzing multi-modal particle size distributions.
• To address the need for better analysis of ultra-fine and nano-sized particle emissions.

Main Methods:

• Developed a cumulative frequency distribution fit method.
• Minimized the summation of the square of cumulative frequency errors.
• Created a spreadsheet-based tool for multi-modal particle size distribution analysis.

Main Results:

• The cumulative frequency fit method provides a more accurate solution compared to the traditional frequency fit method.
• The developed spreadsheet offers a quick and convenient approach to particle size distribution analysis.
• The method is particularly useful for analyzing complex, multi-modal distributions.

Conclusions:

• The cumulative frequency distribution fit method is a superior approach for particle size analysis.
• The spreadsheet tool facilitates efficient analysis of particle size distributions, especially for ultra-fine and nano-sized particles.
• This work contributes to a better understanding and monitoring of diesel engine exhaust emissions.