Dynamic numerical simulation of gas-liquid two-phase flows Euler/Euler versus Euler/Lagrange

Computational fluid dynamics applied to gas-liquid contactors

“…The correct form of these closure laws is still being debated. Also, care must be taken to limit numerical diffusion, for instance, by applying the TVD scheme instead of the UPWIND scheme for the finite-difference approximation of the convective fluxes (Sokolichin et al, 1997).…”

“…In recent years, several authors (Gasche et al, 1990;Torvik and Svendsen, 1990;Ranada, 1992;Grienberger and Hofman, 1992;Sokolichin and Eigenberger, 1994;Hjertager andMorud, 1995 andSokolichin et al, 1997) have contributed to the development of two fluid models for gas-liquid two-phase flow. Studies with this type of model have clearly revealed the intrinsic time-dependent behaviour of gas-liquid bubble columns, and thus, demonstrated the necessity to use dynamic models.…”

“…Trapp and Mortensen (1993) and Lapin and LiJbbert (1994) conducted pioneering work in this field. Additionally, mixed Eulerian-Lagrangian models have been developed by Devanathan et al (1995), Sokolichin et al (1997 and Delnoij et al (1997a). Although promising results have been obtained in recent years, there still exists disagreement on fundamental issues such as the correct description of the forces acting on a single bubble and the effect of other bubbles on these forces.…”

Numerical aspects and implementation of population balance equations coupled with turbulent fluid dynamics

“…For practical reasons like high numerical efforts and computational costs which are related to tracking and calculating the motion of each bubble individually in the flow field, the former method is restricted to be applied on lean dispersions or when low volume fractions of the dispersed phase are considered, while the latter method requires comparatively small efforts in both numerics and computation. Nevertheless, both of the methods lead to the same results if the problems are handled with adequate computational effort as it has been reported by [44]. Sokolichin and Eigenberger went on with their studies and they elucidated the behavior of flow fields in bubble columns.…”

Large Eddy Simulation for Dispersed Bubbly Flows: A Review

“…The E-E approach can suffer from numerical diffusion. However, with the aid of higher order discretization schemes, the numerical diffusion can be reduced sufficiently and can offer the same order of accuracy as with E-L approach (Sokolichin et al [1]). The advantage here is that the computational demands are far lower compared to the E-L approach, particularly for 2 International Journal of Chemical Engineering systems with higher dispersed void fractions.…”