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Extended cell average technique for the solution of coagulation equation.
1Division of Chemical Technology, Department of Chemistry, Aristotle University, Univ. Box 116, 541 24 Thessaloniki, Greece. kostoglu@chem.auth.gr
Journal of Colloid and Interface Science
|November 14, 2006
Summary
A new cell average technique for solving the population balance equation conserves three moments, improving accuracy over the fixed pivot method for particle size distribution. This method enhances computation of practical moments.
Area of Science:
- Computational fluid dynamics
- Chemical engineering
- Particle science
Background:
- Population balance equations (PBEs) are crucial for modeling dynamic systems.
- Sectional methods offer advantages over higher-order and moment methods for PBEs.
- The fixed pivot technique is a widely used sectional method for the coagulation equation.
Purpose of the Study:
- To extend the recently developed cell average technique for PBEs.
- To enhance the cell average technique to conserve three moments of the particle size distribution.
- To develop a stable algorithm for solving the coagulation equation.
Main Methods:
- Implementation of a novel sectional method based on the cell average technique.
- Development of a stable numerical algorithm for the coagulation equation.
- Comparison of the new method's moment conservation properties with existing techniques.
Main Results:
- The extended cell average technique successfully conserves three moments.
- A stable algorithm for solving the coagulation equation was developed.
- The new method provides improved computation of practically relevant moments.
Conclusions:
- The enhanced cell average technique offers improved accuracy for PBEs.
- While moment computation is enhanced, complete particle size distribution accuracy may vary.
- This advancement contributes to more precise modeling in particle-related processes.
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