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
Cite This	Self-similar Solution of Population Balance Equation for Aggregation with Constant Kernel - Aditya Kumar - IJFMR Volume 5, Issue 2, March-April 2023. DOI 10.36948/ijfmr.2023.v05i02.2684
DOI	https://doi.org/10.36948/ijfmr.2023.v05i02.2684
Short DOI	https://doi.org/gr7hjh

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