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• W1984611084 abstract "The method of moment (MOM) is a powerful tool for solving population balance. Nevertheless it cannot be used in every circumstance. Sometimes, in fact, it is not possible to write the governing equations in closed form. Higher moments, for instance, could appear in the evolution of the lower ones. This obstacle has often been resolved by prescribing some functional form for the particle size distribution. Another example is the occurrence of fractional moment, usually connected with the presence of fractal aggregates. For this case we propose a procedure that does not need any assumption on the form of the distribution but it is based on the “moments generating function” (that is the Laplace transform of the distribution). An important result of probability theory is that the kth derivative of the moments generating function represents the kth moment of the original distribution. This result concerns integer moments but, taking in account the Weyl fractional derivative, could be extended to fractional orders. Approximating fractional derivative makes it possible to express the fractional moments in terms of the integer ones and so to use regularly the method of moments." @default.
• W1984611084 created "2016-06-24" @default.
• W1984611084 creator A5002004264 @default.
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• W1984611084 date "2004-08-01" @default.
• W1984611084 modified "2023-10-18" @default.
• W1984611084 title "Extension of the method of moments for population balances involving fractional moments and application to a typical agglomeration problem" @default.
• W1984611084 cites W1593833610 @default.
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• W1984611084 doi "https://doi.org/10.1016/j.jcis.2004.03.052" @default.
• W1984611084 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/15219436" @default.
• W1984611084 hasPublicationYear "2004" @default.
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