2013
DOI: 10.1016/j.apt.2013.01.006
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An extended cell-average technique for a multi-dimensional population balance of granulation describing aggregation and breakage

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Cited by 46 publications
(25 citation statements)
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“…Since a non-linear grid was used, most daughter particles from aggregation and breakage have solid volumes that fall between bins. The cell average method was used to allocate these particles [18,19]. The coupled ODEs were solved using first-order Euler integration with a variable step size.…”
Section: Methodsmentioning
confidence: 99%
“…Since a non-linear grid was used, most daughter particles from aggregation and breakage have solid volumes that fall between bins. The cell average method was used to allocate these particles [18,19]. The coupled ODEs were solved using first-order Euler integration with a variable step size.…”
Section: Methodsmentioning
confidence: 99%
“…However, as mentioned in Section 3.1, the grid of particle sizes used for developing the PBM is exponential in nature. Therefore, the number of particles was allocated in the appropriate grid locations, and the cell average technique as developed in [35] was employed where lever rule techniques are used to distribute particles in nearest grid locations by linear interpolations.…”
Section: Numerical Techniquesmentioning
confidence: 99%
“…A linear grid requires a large number of bins to span a certain size range. However a nonlinear grid can span the same range using fewer bins, thus reducing the computational overhead [17]. Various algorithms have been developed to implement a nonlinear grid for discretization [14,40,41,49].…”
Section: Numerical Techniques To Solve Population Balance Modelsmentioning
confidence: 99%