International Journal For Multidisciplinary Research

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Self-similar Solution of Population Balance Equation for Aggregation with Constant Kernel

Author(s) Aditya Kumar
Country India
Abstract Self-similar solution of population balance equation includes the number density function which remains invariant or contains a part that is invariant. This paper describes self-similar solution of aggregation population balance model with constant kernel. Using this constant kernel, moment of the population balance system achieves the form μ_i (t)∝t^(i-1) and the aggregation population balance equation with constant kernel reduces to a first order linear ordinary integro-differential equation whose solution is exponential function with negative power.
Keywords Integro-differential Equation, Number Density Function, Kernel, Moment, Self-similarity
Field Mathematics
Published In Volume 5, Issue 2, March-April 2023
Published On 2023-04-26
DOI https://doi.org/10.36948/ijfmr.2023.v05i02.2684
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E-ISSN 2582-2160
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