Theoretical and numerical study of acoustic coagulation of suspended particles
Date Issued
2003-07-31
Date
2003-07-31
Author(s)
DOI
912212E002074
Abstract
This second year project studies numerically the acoustic coagulation of small particles in a
two-phase suspension flow. Two topics have been completed in the present work. (1) For the
acoustic coagulation of particles in the traveling wave, we have solved the false mass
conservation problem for the simulation using both the hydrodynamic interaction and the acoustic
wake model in the last year. Although the agreement between the present calculations and the
experiments is better than the calculations in the literatures, we still need to incorporate an
empirical collision efficiency factor in the calculation, as that in the last year using orthokinetic
interaction model. This indicates that the available models for the collision frequency function in
the literatures have certain drawbacks, and further theoretical analyses are required. (2) For the
acoustic coagulation of particles in the standing wave, we proposed a simplified theoretical model
for the general dynamic equation of the continuous distribution function of particles. The
log-normal distribution of particles is assumed, and a resulting partial differential equation is
obtained from the integral-differential general dynamic equation. Numerical results of such
partial differential equation agree nicely with the experiments. Thus the proposed simplified
model can be applied for the parameter analyses and the design of the acoustic agglomerator.
Subjects
acoustic coagulation of small particles
traveling and standing wave
theoretical
analysis
analysis
numerical calculation
Publisher
臺北市：國立臺灣大學應用力學研究所
Type
report
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