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Universality in crossover function for convection in fluids with a free surface

机译:具有自由表面的流体对流的交叉功能的普遍性

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摘要

We show that in the onset of convection in a thin fluid layer with a free surface, the passage from surface tension driven to buoyancy driven convection with changing thickness of the fluid layer follows a universal curve and can be calculated very accurately using a variational method. We have shown that the balance between surface tension traction to buoyancy force determines the crossover length scale of the fluid which is independent of viscosity or thermal diffusivity. We suggest a scenario near critical point of fluids in which this crossover can be observed.
机译:我们表明,在具有自由表面的薄流体层中的对流开始时,随着流体层厚度的变化,从表面张力驱动到浮力驱动的对流的通道遵循通用曲线,并且可以使用变分方法非常精确地计算出来。我们已经表明,表面张力牵引力与浮力之间的平衡决定了流体的跨接长度尺度,该尺度与粘度或热扩散率无关。我们建议在接近流体临界点的情况下可以观察到这种交叉现象。

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