Abbreviations
- d0 :
-
diameter of injection nozzle, m
- Frm :
-
modified Froude number (= ρgU 20 /Δρgd0)
- Fr:
-
Froude number (= 2p /gL)
- g:
-
acceleration due to gravity
- L:
-
depth of liquid in the vessel
- Q:
-
gas flow rate, m3/s
- AR:
-
radius of the vessel, m
- rαmax/2 :
-
half-radius of the plume at any axial height, m
- rαmax/2 :
-
(Z0) half-radius of the plume at the axial height, Z0, m
- U0 :
-
free space velocity through the injection nozzle m/s
- Up :
-
average plume rise velocity, m/s
- α:
-
gas volume fraction
- ρL:
-
liquid density, kg m−3
- ρ:
-
density, kg m−3
- Z0 :
-
the axial station at which the centerline or maximum gas voidage is 50 pct
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Sudhakar, V., Mazumdar, D. A unified representation of the two-phase plume characteristics in gas-stirred ladle systems. Metall Mater Trans B 27, 704–708 (1996). https://doi.org/10.1007/BF02915674
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DOI: https://doi.org/10.1007/BF02915674