The dispersed phase in multiphase flows can be modeled by the population balance model
(PBM). A typical population balance equation (PBE) contains terms for spatial transport …

The solid–liquid two-phase flow with coarse particles is ubiquitous in natural phenomena
and engineering practice, which is characterized by coarse particles, high particle …

Population balance modeling is an established framework to describe the dynamics of
particle populations in disperse phase systems found in a broad field of industrial, civil, and …

In this work, we propose and test a method to expedite Global Sensitivity Analysis (GSA) in
the context of shape optimisation of free-form shapes. To leverage the computational burden …

A tractable solution is proposed to a classical problem in kinetic theory, namely, given any
set of realizable velocity moments up to order 2n, a closure for the moment of order 2n+1 is …

Statistical descriptions of particulate phases and granular media based on the notion of a
property distribution are particularly advantageous for dense, many-particle dispersions …

Starting from coupled Boltzmann–Enskog (BE) kinetic equations for a two-particle system
consisting of hard spheres, a hyperbolic two-fluid model for binary, hard-sphere mixtures is …

Hyperbolic conservation equations for polydisperse, high-speed, compressible, fluid–
particle flows with added mass and fluid-phase pseudoturbulence are derived. First, the …

The conditional hyperbolic quadrature method of moments (CHyQMOM) was introduced by
Fox et al.[19] to reconstruct 1-and 2-D velocity distribution functions (VDF) from a finite set of …

Solving the population balance equation (PBE) for the dynamics of a dispersed phase
coupled to a continuous fluid is expensive. Still, one can reduce the cost by representing the …