Table 5
Shin’s correlations and present work’s correlations with their geometric and operating variables.
| Objective function | Correlations of Shin et al. (2007) | Correlations of present work |
|---|---|---|
| Liquid holdup |
|
|
| Solid holdup |
|
|
| Axial dispersion | – |
DaxL = 21.51 uG
0.42
0.01
R0.14
|
| Operating parameters (at 25 °C) | UG (cm/s) | UG (cm/s) | μL (mPa s) | ρL (kg/m3) | ρS (kg/m3) | UG (cm/s) | UL (cm/s) | μL (mPa s) | ρL (kg/m3) | ρS (kg/m3) | R |
| 0.05–0.8 | 1–5 | 0.96–38 | 1000–1003 | 877–966 | 1–10 | 1–6 | 0.96 | 1000 | 1700 | 1–5 |
| Type of column | Cylindrical three-phase fluidized bed column | Ebullated bed three-phase column |
| Column dimensions | 15.2 cm ID × 250 cm height | 7.2 cm ID × 160 cm height |
| Conditions of present study (ρL = 1 g cm−3; ρS = 1.7 g cm−3; μL = 0.96 mPa s; R = 1) | Correlations of Shin et al. (2007)
|
Correlations of present work |
||
| εl | εs | εl | εs | |
| UG = 1 cm/s, UL = 1 cm/s | 3.040 (out of range) | −4.335 (out of range) | 0.66 | 0.274 |
| UG = 2 cm/s, UL = 2 cm/s | 3.390 (out of range) | −4.999 (out of range) | 0.718 | 0.204 |
| UG = 3 cm/s, UL = 3 cm/s | 3.610 (out of range) | −5.425 (out of range) | 0.754 | 0.171 |