Symmetries and Invariant Solutions for the Coagulation of Aerosols

The coagulation of aerosol particles plays an important role in the structural morphological changes suspended at any time and space. In this study, based on Smoluchowski equation population balance, a kinetic model coalescence considering Brownian motion collision is established. By applying developed Lie group method, we derive allowed infinitesimal symmetries group-invariant solutions integro-differential equation, as well exact solution under some special conditions. We also provide detailed steps discussion properties. content results effective analytic for progressive evolution particle size boundary initial This reveals self-conservative phenomena process provides validation numerical algorithms general dynamics equations.