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2005-12

An Improved Discretized Tracer Mass Distribution of Hounslow et al.

by Peglow, M., Kumar, J., Warnecke, G., Heinrich, S., Mörl, L.,Hounslow, M. J..


Series: 2005-12, Preprints

MSC:
65M99 None of the above, but in this section
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
45K05 Integro-partial differential equations

Abstract:
The discretized tracer population balance equation (DTPBE) of Hounslow et al. (2001, AIChE 47, 1984-1999) for aggregation problems is discussed and modified. It is shown that the original version was not entirely consistent with the associated discretized population balance equation (DPBE). These inconsistencies are remedied in a new formulation that retains the advantages of the original DTPBE such as conservation of toatal tracer mass, prediction of tracer-weighted mean particle volume etc. Furthermore, the DTBE has been extended to an adjustable discretization based on that of Litster et al. (1995, AIChE 41, 591-603). Numerous comparisons are made of the validity of the extended and modified formulation.

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