Numerical Simulation of Marangoni Convection in Consideration of Free Surface Displacement(Marangoni Convection Modeling Research, 2003-2004)

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Thermocapillary-driven convection in a half-zone liquid bridge has been extensively examined. A large number of researches have been conducted concerning the transition of the fl ow fi eld. Physical mechanism of the transition, however, has not been fully understood. In the present study, three-dimensional numerical simulations taking with and without dynamic free surface deformation (DSD) into account are carried out to evaluate the effect of the surface deformation upon the fl ow fi eld. The surface shape is solved by considering the stress balance on the free surface, and the calculation coordinate is reconstructed at every time step with employing a boundary fi tted coordinate. The test fl uids are acetone (Pr=4.38) and 2cSt silicone oil (Pr=28.11).The free surface deformation is determined primarily by the pressure variation. For acetone, the effect of the DSD upon critical point and fl ow fi eld was quite small in the range of present numerical simulation in previous report. In this report, the effect of DSD for 2cSt silicone oil is obtained.
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