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为了了解重力水平对环形液池内热毛细-浮力对流耗散结构的影响,利用有限容积法进行了非稳态三维数值模拟,环形液池外壁被加热,内壁被冷却,流体为0.65cSt硅油,其Pr数为6.7。结果表明,在微重力条件下,流动为三维振荡流动;当重力水平增加到0.1go时,流动结构转化为沿周向运动的一组滚胞,其轴线与温度梯度方向一致;当重力水平增加到0.5go时,流型则为一组静止的滚胞;当重力水平继续增加到3go时,流动转变为稳定流动。

In order to understand the effect of gravity level on the flow pattern of thermocapillary- buoyant convection in an annular pool, a series of unsteady three-dimensional numerical simulations were carried out with finite-volume method. The pool was filled with the 0.65cSt silicone oil (Prandtl number Pr----6.7), and heated from the outer cylindrical wall and cooled at the inner wall. The simulation results show that the three-dimensional oscillatory flow appeared at micro-gravity. When g=O.lgo, the flow pattern transits extended roll cells travelling in the azimuthal direction. If the gravity level increases to 0.Sgo, the stable three-dimensional flow happened. Further, at g=3.0go, the thermocapillary-buoyant convection transits the steady axially symmetric flow.

参考文献

[1] Schwabe D. .Buoyant-thermocapillary and pure thermocapillary convective instabilities in Czochralski systems[J].Journal of Crystal Growth,2002(Pt.3):1849-1853.
[2] Schwabe D.;Zebib A.;Sim BC. .Oscillatory thermocapillary convection in open cylindrical annuli. Part 1. Experiments under microgravity[J].Journal of Fluid Mechanics,2003(0):239-258.
[3] Sim BC.;Zebib A.;Schwabe D. .Oscillatory thermocapillary convection in open cylindrical annuli. Part 2. Simulations[J].Journal of Fluid Mechanics,2003(0):259-274.
[4] You-Rong Li;Lan Peng;Shuang-Ying Wu;Dan-Ling Zeng;Nobuyuki Imaishi .Thermocapillary convection in a differentially heated annular pool for moderate Prandtl number fluid[J].International Journal of Thermal Sciences,2004(6):587-593.
[5] Burguete J.;Daviaud F.;Garnier N.;Chiffaudel A.;Mukolobwiez N. .Buoyant-thermocapillary instabilities in extended liquid layers subjected to a horizontal temperature gradient[J].Physics of fluids,2001(10):2773-2787.
[6] You-Rong Li;Nobuyuki Imaishi;Lan Peng;Shuang-Ying Wu;Taketoshi Hibiya .Thermocapillary flow in a shallow molten silicon pool with Czochralski configuration[J].Journal of Crystal Growth,2004(1/3):88-95.
[7] Lan Peng;You-Rong Li;Wan-Yuan Shi;Nobuyuki Imaishi .Three-dimensional thermocapillary-buoyancy flow of silicone oil in a differentially heated annular pool[J].International Journal of Heat and Mass Transfer,2007(5/6):872-880.
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