Least Squares Higher Order Method for the Solution of a Combined Multifluid-Population Balance Model: Modeling and Implementation Issues

Abstract In this paper we attempt to highlight the main challenges of the implementation of the presented combined Eulerian multifluid-Population balance model for bubbly flows as applied to simulate the behavior of vertical bubble column reactor. The 1–D steady-state model equations for the bubble column with water as the liquid continuous phase and air bubbles of diameter as a dispersed phase, constitutes the liquid continuity and momentum equations and the dispersed phase population balance equation and the dispersed phase momentum equation. In addition, the ideal gas law, two moments of the distribution (void and SMD), and a set of constitutive equations are required.