INSTABILITIES OF DYNAMIC THERMOCAPILLARY LIQUID LAYERS .1. CONVECTIVE INSTABILITIES

INSTABILITIES OF DYNAMIC THERMOCAPILLARY LIQUID LAYERS .1. CONVECTIVE INSTABILITIES
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DOI:
10.1017/s0022112083001512
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发表时间:
1983-01-01
影响因子:
3.7
通讯作者:
DAVIS, SH
DAVIS, SH
中科院分区:
工程技术2区
文献类型:
--
作者:
SMITH, MK;DAVIS, SH

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一个平面液体层的边界下面由一个刚性板和上面的界面与被动气体。一个稳定的剪切流是通过施加一个温度梯度沿着层和驱动的运动由热毛细作用。这种动态状态易受两种类型的热对流不稳定性的影响:(i)静态纵向卷,其中涉及经典的Marangoni不稳定性研究皮尔逊;和(ii)不稳定的热液波,其中涉及一种新的机制,不稳定性从水平温度梯度获得其能量。作为液体的普朗特数和界面的毕奥数的函数的液体层的热稳定性特性与和没有回流剖面。与现有的实验观察进行比较。
A planar liquid layer is bounded below by a rigid plate and above by an interface with a passive gas. A steady shear flow is set up by imposing a temperature gradient along the layer and driving the motion by thermocapillarity. This dynamic state is susceptible to two types of thermal-convective instabilities: (i) stationary longitudinal rolls, which involve the classical Marangoni instability studied by Pearson; and (ii) unsteady hydrothermal waves, which involve a new mechanism of instability deriving its energy from the horizontal temperature gradients. Thermal stability characteristics for liquid layers with and without return-flow profiles are presented as functions of the Prandtl number of the liquid and the Biot number of the interface. Comparisons are made with available experimental observations.