Cascade of structures in long-wavelength Marangoni instability
Cascade of structures in long-wavelength Marangoni instability
复制标题
长波长马兰戈尼不稳定性中的级联结构
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Thess
中科院分区：
文献类型：
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作者：
W. Boos;A. Thess
数值研究了二维热毛细驱动对流的长波不稳定性。所考虑的系统由一个水平的周期性液体层，从下面由一个刚性壁和从上面由一个可变形的自由表面界定。液体从底壁加热，从上方冷却。该问题可以近似为斯托克斯方程，并有两个无量纲参数。一个参数是动态键数，它是重力和热毛细力之间的比率。另一个是静态邦德数，它描述了重力和表面张力之间的比率。利用边界积分方法，我们提出了全尺寸的直接数值模拟的长波Marangoni不稳定性在二维。自由表面的时间演化导致排水区域（所谓的“干点”）的形成。模拟结果表明，一个显着的复杂性的着陆过程中，涉及到一个深级联从大到增加…
The long-wavelength instability for thermocapillary-driven convection in two dimensions is studied numerically. The system under consideration consists of a horizontal periodical liquid layer bounded from below by a rigid wall and from above by a deformable free surface. The liquid is heated from the bottom wall and cooled from above. The problem can be approximated by the Stokes equation and has two dimensionless parameters. One parameter is the dynamic Bond number which is the ratio between gravity and thermocapillary force. The other is the static Bond number, which describes the ratio between gravity and the surface tension. Using the boundary integral method we present full-scale direct numerical simulations of the long-wavelength Marangoni instability in two dimensions. The time evolution of the free surface leads to the formation of drained regions (so-called “dry spots”). The simulations demonstrate a remarkable complexity of the touchdown process, involving a deep cascade from large to increasing...