The dynamics of a viscous film flowing down a vertical fibre under the action of gravity and the thermocapillary is analyzed theoretically. This exterior coating flow is driven by a Rayleigh-Plateau mechanism modified by the presence of gravity as well as the variation of surface tension induced by temperature gradient along the interface. A temporal-spacial stability analysis is performed to investigate the influence of the thermocapillarity on the convective/absolute instability (CI/AI) of axisymmetric disturbances. The results show that the thermocapillary plays an important role in determining the CI/AI characteristics in different flow regimes.
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