Review Article
Large Eddy Simulation for Dispersed Bubbly Flows: A Review
Table 1
Comparison of LES simulations.
|
No. |
Author |
Column D (× W) × H (m) |
Sparger design |
Bubble diameter
|
Range of , m/s |
Number of grid cells |
Filter |
SGS Model |
BIT closure models+ | Interfacial force coefficient closures++ | Drag
| Lift
| Virtual mass
|
| (1) | Deen et al.* [19] | | Perforated plate | 4 mm | |
| 5–10 mm | Smagorinsky, = 0.1 | | | 0.5 | 0.5 | (2) | Bove et al. [29] | | Perforated plate | 4 mm | |
| 10–17 mm | Smagorinsky, = 0.05–0.2 | — | | 0.5 | 0.5 | (3) | Zhang et al. [26] | | Perforated plate | 4 mm | |
| — | Smagorinsky, = 0.08–0.20 | |
# |
# |
# | (4) | Tabib et al. [17] | | Perforated plate | 5 mm | | 150000 | 3 mm | Smagorinsky, = 0.1 | | |
# |
# | (5) | Dhotre et al. [20] | | Perforated plate | 4 mm | |
| | Smagorinsky, = 0.12 Germano | | | 0.5 | 0.5 | (6) | Ničeno et al. [9] | | Perforated plate | 4 mm | |
| is equal to the grid spacing = 1.5 | Smagorinsky, = 0.12 OEM | | | 0.5 | 0.5 | (7) | Dhotre et al. [18] | | Perforated plate | 2.6 mm | | — | 2.8 mm < < 4.0 mm | Smagorinsky, = 0.12 | | | 0.5 | 0.5 | (8) | Niceno et al. [10] | | Perforated plate | 4 mm | | | 5 mm | OEM Germano | | | 0.5 | 0.5 | (9) | Tabib and Schwarz [30] | | Perforated plate | 3–5 mm | | — | — | OEM | | Max [ , ] | −0.05 | — | (10) | van den Hengel et al. [31] | | Perforated plate | 3 mm | | | mm | Smagorinsky | | | 0.5 | 0.5 | (11) | Hu and Celik [32] | | Pipe sparger | 1.6 mm | |
| PSI-ball method 2 mm | Smagorinsky, = 0.032 | | | 0.5 | 0.5 | (12) | Lain [27] | | Porous membrane | 2.6 mm | |
| = 1.8 | Smagorinsky, = 0.1 | |
# |
# | 0.5 | (13) | Darmana et al. [33] | | Multipoint gas injection | 4 mm | | | mm | Vreman, = 0.1 | — | |
# | 0.5 | (14) | Sungkorn et al. [34] | | Perforated plate | 4 mm | | | is equal to the grid spacing = 1.25 | Smagorinsky, = 0.10–0.12 | | |
# | 0.5 | (15) | Bai et al. [35], Bai et al. [36] | | Perforated plate
| 5 mm |
|
| — | Vreman Smagorinsky, = 0.1 | — | | 0.5 | 0.5 |
|
|
The authors have studied the effect of this force over a range. +Numbers indicated are refered to Table 2. ++Numbers indicated are refered to Table 3.
|