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Numerical solution of the population balance equation

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dc.contributor.advisor Eyre D, Prof en
dc.contributor.advisor Everson R, Prof en
dc.contributor.author Erasmus LD en
dc.date.accessioned 2016-09-22T07:16:26Z
dc.date.available 2016-09-22T07:16:26Z
dc.date.created 1991 en
dc.date.submitted 1993 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/9869
dc.description.abstract Numerical techniques for solving the Lifshitz-Slyozov equation of continuity for the precipitation of solutes from supersaturated solutions are evaluated. Particle growth due to precipitation as well as the collision and subsequent coalescence of particles is considered. Special attention is given to the case in which the growth law due to precipitation is a non-smooth function of the type I(&upsilon;) = A&upsilon;<sup>&Beta;</sup> , where 0 < &Beta; < 1. The basic numerical approach is to perform a spatial discretisation of the equations using a projection technique onto a space of cubic splines. A Galerkin technique and a 0-method for solving systems of ordinary differential equations is used to determine the expansion coefficients. The performance of the numerical method is investigated by solving equations that arise in population balance. It is shown that in the case of condensation and coalescence that a double distribution of particle sizes can evolve from a single initial distrubution function. en
dc.language English en
dc.subject Mathematics, mathematical statistics and statistics en
dc.subject Mathematical methods en
dc.title Numerical solution of the population balance equation en
dc.type Masters degree en
dc.description.degree MSc en


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