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Numerical Approximations of Pure Aggregation Population Balance Equation and its Applications.

MACSI at the department of Mathematics and Statistics at the University of Limerick invites you to a seminar

Speaker:                  Dr. Mehakpreet Singh (Department of Chemical Science, Bernal Institute, University of Limerick).

Time & location:       Friday 5th October, at 4p.m.  Room A2-002

Title:                         Numerical Approximations of Pure Aggregation Population Balance Equation and its Applications.

Abstract: Population balance equation (PBE) is a classical approach to describe the temporal changes in the number distribution function due to various particulate processes such as aggregation, breakage, growth and nucleation which are involved in many engineering applications. In this work, numerical approximations for solving the one-dimensional aggregation PBE equation on non-uniform meshes has been analysed. Among the various available numerical methods, finite volume methods have explicit advantage such as mass conservation and an accurate prediction of different order moments. So, two finite volume schemes are developed which are different in a sense that one scheme is merely focused on conserving the total mass in the system whereas the other scheme preserves the total number of particles as well as conserves the total mass in the system. Both schemes rely on introducing weights in their formulations to retain different properties such as total mass and total number of particles in the system.  The accuracy of both methods is tested with some benchmark aggregation kernels.

In addition, a study of modeling and simulation for a top sprayed fluidized bed granulator (SFBG) is presented which is substantially used by the pharmaceutical industry to prepare granules. The idea is to build a mathematical model using the notion of population balances by dividing a top SFBG into two different zones namely wet zone (correspond to aggregation) and dry zone (correspond to breakage). To solve a two-compartmental model, an existing accurate and efficient finite volume scheme is modified. The validation of the compartmental model is done by deriving new class of analytical moments are derived corresponding to various combinations of aggregation and breakage kernels.

If you have any questions regarding this seminar, please direct them to Romina Gaburro (061 2131930, email  and Clifford Nolan (061 202766),

Supported by Science Foundation Ireland funding, MACSI - the Mathematics Applications Consortium for Science and Industry (, centred at the University of Limerick, is dedicated to the mathematical modelling and solution of problems which arise in science, engineering and industry in Ireland.