## Three-dimensional oscillatory thermocapillary convection in liquid bridge under microgravity.(English)Zbl 1015.76073

Summary: Three-dimensional oscillatory thermocapillary convection in silicone oil liquid bridge is studied numerically by means of finite volume method. The results reveal the existence of two different oscillatory modes: pulsating and rotating oscillations. Close to the onset of oscillation, the pulsating oscillatory convection is observed. With the increment of Marangoni number Ma, the pulsating oscillatory convection is replaced by rotating oscillatory convection, where the temperature and velocity fields demonstrate the characteristics of rotation. An approximately linear relationship between Ma and dimensionless main frequency $$f^*$$ is found for aspect ratio height-to-radius of liquid bridge $$As=4.0$$ in periodic oscillatory regime. This relationship becomes a little more complex for $$As=1.0$$.

### MSC:

 76R05 Forced convection 76D45 Capillarity (surface tension) for incompressible viscous fluids 80A20 Heat and mass transfer, heat flow (MSC2010) 76M12 Finite volume methods applied to problems in fluid mechanics
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