Abstract
In this work, we employ the two-fluid model under the large eddy simulations (LES) framework to investigate liquid-liquid dispersions in stirred tanks. The population balance equation was solved by the one primary and one secondary particle method, which was proven as identical as one-node quadrature method of moments. First, Aiyer's break-age kernel was investigated for its capability in the context of chemical stirred tank applications [Aiyer et al., “A population balance model for large eddy simulation of polydisperse droplet evolution,” J. Fluid Mech. 878, 700-739 (2019)]. Second, two new methods were proposed to handle the consistency problem and boundedness problem. These numerical problems were shown in our previous studies but had never been discussed in detail. Three test cases were launched, and results showed that our implementation ensures the moments' boundedness. The inconsistency problem was also treated properly. The predicted diameter also agrees well with experiments. Meanwhile, the phase segregation problem as observed in the unsteady Reynolds-Averaged Navier-Stokes simulations disappeared when a LES turbulence model was employed.
| Original language | English |
|---|---|
| Article number | 063334 |
| Number of pages | 17 |
| Journal | Physics of Fluids |
| Volume | 35 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Jun 2023 |
Bibliographical note
Funding Information:This work was supported by the Young and Middle-aged Teachers Education Scientific Research Project of Fujian Province (No. JAT170048), Hua Qiao University Startup Funding (No. Z16X0112). Dongyue Li's research on liquid–liquid dispersions during his stay in Italy at Politecnico di Torino (Italy) was coauthored by Professor Wioletta Podgórska from the Technical University of Warsaw (Poland). Professor Wioletta Podgórska passed away on November 14, 2019, and this work is carried out in her memory. Dongyue Li and other authors thank Daniele Marchisio for a fruitful discussion on this work.