We propose continuous approximations to the population balance equation based on
maximization of the Shannon entropy subject to the expected properties of the particle size …

We present a continuous approximation to the population balance equation which has few
analytical solutions that are only of academic interest. The proposed solution is a stable and …

Abstract The Population Balance Equation is a transport equation which accommodates the
evolution of particle size distribution due to convection, nucleation, growth, breakage and …

The population balance equation (PBE) is an integro-partial differential equation with
nonlinear source term. The PBE is known to admit analytical solutions only for a few cases …

The prediction of the particle-size distribution (PSD) of the particulate systems in chemical
engineering is very important in a variety of different contexts, such as parameter …

Population balance modeling has received an unprecedented amount of attention during
the past few years from both academic and industrial quarters because of its applicability to …

Numerical solution of the population balance equation (PBE) is widely used in many
scientific and engineering applications. Available numerical methods, which are based on …

Population balance equations (PBE) are widely applied to describe many physicochemical
processes such as nanoparticle synthesis, chemical processes for particulates, colloid gel …

The increasing range of complex applications that call for population balances based
models motivates the development of efficient and robust solution techniques. Several …

A discrete framework is introduced for simulating the particulate physical systems governed
by population balance equations (PBE) with particle splitting (breakage) and aggregation …