Bubbly flows comprise a large number of different flow situations, e.g
., dispersed pipe flows, flows in multiphase agitated tanks, flows in
multiphase fixed-and fluidized-bed reactors, and typical bubble-column
and loop-reactor flows. This paper focuses on bubble-driven flows. Th
ese are flow situations were the bubble movement itself is the main so
urce of momentum to the now field and are often characterized by low s
uperficial liquid velocities, relatively high superficial gas velociti
es, and no mechanical support of the now (e.g., agitation). Only verti
cal now situations are considered. An overview of the verified forces
acting on bubbles is given, and examples of both classical and more re
cent modeling approaches are shown. This include gravity, buoyancy, ce
ntrifugal forces, conventional Magnus and Saffman forces, form and fri
ction drag, and added mass as well as turbulent migration and other in
stability mechanisms. Special emphasis is placed on mechanisms creatin
g bubble movement in the radial direction. Important literature on the
subject with regard to the use of computational fluid dynamics to mod
el gas-driven bubbly flows is reviewed, and the various approaches are
evaluated, i.e., dynamic vs steady-state descriptions and Euler/Lagra
nge vs Euler/Euler formulations. Results from steady-state Euler/Euler
simulations are given and discussed, and the demand for amplified mod
eling including more accurate and stable numerical solution schemes an
d algorithms is stressed.