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Springer, Vienna

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10.1002/ejoc.201001082

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Quadrature Method of Moments for PolyDisperse Flo

Authors: Daniele L Marchisio
Publish Date: 2007
Volume: , Issue: , Pages: 41-77
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Abstract

An overview of different moment methods for the solution of the generalized population balance equation is presented and in particular the use of methods based on quadrature approximations is discussed Firstly the quadrature method of moments is derived for a simple spatially homogeneous singlephase system and some mathematical issues related to the algorithm to derive the quadrature approximation and its degree of accuracy are discussed Then the method is extended and implemented for the simulation of spatially heterogeneous multiphase flows Eventually the direct quadrature method of moments is derived and its use for the solution of mono bi and multivariate population balance equations is explained Particular attention is also devoted to how to couple these methods with multiphase models such as the mixture model and the multifluid model


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