The transport phenomenon of drops or bubbles is a very important topic in
fundamental hydrodynamics research and practical applications such as material
processing and the chemical engineering. In microgravity environment, if drops or
bubbles stay in a continuous phase with non-uniform temperature ¯eld, they will
start to move as a result of the variance of the interface tension. This kind of
movement is called the Marangoni migration. This review tries to sum up the main
results in this ¯eld on theoretical analysis, numerical simulations and experiments.
So far the theoretical analysis is still limited to the linear or weak nonlinear steady
questions, while the current numerical simulations can already obtain the time-
dependent process of the bubble/drop migration when the e®ect of heat convection is
small. For strong heat convection problem, or when the Marangoni number is bigger
than 100, no numerical result is in consistence with those of experiments so far. Some
of the lastest numerical results are shown when heat convection is strong, and the
main di®erence between strong and weak heat convection is analyzed. Finally, we
also discuss the main unresolved problems in this ¯eld and some possible directions
in the future.