Affiliation:
1. Department of Chemical Technology, School of Chemistry, Aristotle University of Thessaloniki, University Box 116, 541 24 Thessaloniki, Greece
Abstract
Dispersed phases like colloidal particles and emulsions are characterized by their particle size distribution. Narrow distributions can be represented by the monodisperse distribution. However, this is not the case for broader distributions. The so-called quadrature methods of moments assume any distribution as a bidisperse one in order to solve the corresponding population balance. The generalization of this approach (i.e., approximation of the actual particle size distribution according to a bidisperse one) is proposed in the present work. This approximation helps to compress the amount of numbers for the description of the distribution and facilitates the calculation of the properties of the dispersion (especially convenient in cases of complex calculations). In the present work, the procedure to perform the approximation is evaluated, and the best approach is found. It was shown that the approximation works well for the case of a lognormal distribution (as an example) for a moments order from 0 to 2 and for dispersivity up to 3.
Subject
Colloid and Surface Chemistry,Chemistry (miscellaneous)
Reference20 articles.
1. Hiemenz, P.C., and Rajagopalan, R. (1997). Principles of Colloids and Surface Chemistry, CRC Press.
2. Friedlander, S.K. (2000). Smoke, Dust and Haze. Fundamentals of Aerosol Dynamics, Oxford University Press.
3. Randolph, A.D., and Larson, M.A. (1971). Theory of Particulate Processes: Analysis and Techniques of Continuous Crystallization, Academic Press.
4. Flory, P.J. (1953). Principles of Polymer Chemistry, Cornell University Press.
5. Solution of the dynamic population balance equation describing breakage–coalescence systems in agitated vessels: The least-squares method;Solsvik;Can. J. Chem. Eng.,2014