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三维数值模拟内环加热液池内热毛细对流

Three-dimensional numerical simulation on the thermocapillary convection in an annular pool of silicone oil heated from inner wall

  • 摘要: 为了深入理解热毛细对流不稳定性的特征,数值模拟了内环壁加热、外环壁被冷却的硅油环形浅液池内热毛细对流.发现在内外壁间温差相同的情况下,在内壁加热的液层里,流体表面的温度梯度高于外壁加热情况下10%左右;相应地,发生热流体波的临界Marangoni数Ma_c=3.06\times 10^5(或临界温差\Delta T_c=4.58K)低于外壁加热情况下的Ma_c=3.34\times 10^5(或\Delta T_c=5.0K).超过临界条件后,内壁加热液池内形成振荡的多涡胞热流体波,它由共存的两组波数相同、频率和振幅相同、沿周向传播方向相反、沿径向凹向高温壁传播的、弯曲螺旋状的热流体波组成,并相互干涉形成点状波纹.

     

    Abstract: In order to investigate the characteristics ofthermocapillary flow instability, thermocapillary convection is investigatedwith three-dimensional numerical simulation in a shallow annular pool (depthd =1mm) of silicone oil (0.65cSt, Pr= 6.7) with the heated inner walland the cooled outer wall. The numerical results show that, surface temperaturegradient in the pool heated from inner wall is 10% higher than thatheated from outer wall with a fixed temperature difference between the outerand inner walls. Meanwhile, the critical Marangoni number for the incipienceof hydrothermal wave (Ma_c=3.06\times 10^5) in the pool heated frominner wall is smaller than that (Ma_c=3.34\times 10^5) heated fromouter wall. Furthermore, numerical results indicate the oscillatorymulticellular wave in the pool heated from inner wall when Ma exceedsMa_c. The oscillatory multicellular wave is composed of two hydrothermalwaves propagating in opposite azimuthal directions, which are interferedeach other to be dot ripple.

     

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