Study on direct quadrature method of moment for population balance equation in isotropic particle system

With the development of particle system microcosmic behavior research, population balance equation (PBE) received more and more attention. PBE couldn't be solved by analytical methods because of its complexity, but by numeric methods. Numerical methods were divided into class method (CM) and method of moment (MOM). The two methods and direct quadrature method of moment (DQMOM) were analyzed and compared, the results showed that DQMOM's computation amount was less than the others' and DQMOM was coupled with CFD more easily. DQMOM was used to simulate the particle growth, aggregation and breakage in homogeneous particle system, and the solutions agreed well with the analytical solution and literature solution, The results showed that DQMOM was promising in the liquid-solid particle system.