USE OF THE GENERALIZED INTEGRAL TRANSFORM TECHNIQUE FOR SOLUTION OF THE POPULATION BALANCE EQUATION
Keywords:
Population Balance Equation, Generalized Integral Transform Technique, Crystallization, AerosolAbstract
The population balance equation (PBE), an integro-differential equation, describes the temporal and spatial evolution of particle size distributions in processes such as crystallization, aerosol dynamics, polymerization, and colloidal systems, accounting for phenomena like growth, breakage, aggregation, nucleation, and death. Numerical and hybrid methods have been widely employed to solve the PBE, extending its use across science and engineering. This study applies the generalized integral transform technique (GITT) as a hybrid method to solve the PBE, enabling its transformation into an analytical form and yielding accurate particle size distributions. The method proved efficient and robust, supporting analysis and control in particulate processes.
