Thermocapillary control of rupture in thin viscous fluid sheets
Thermocapillary control of rupture in thin viscous fluid sheets
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DOI：
10.1017/s0022112005006269
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发表时间：
2005-10
影响因子：
3.7
通讯作者：
B. Tilley;M. Bowen
中科院分区：
文献类型：
--
作者：
B. Tilley;M. Bowen
我们考虑受热毛细管效应影响的粘性薄层流体的演化。在润滑近似下，对于对称的界面变形，我们得到了界面轮廓、流体速度的流向分量和沿表面的温度变化的耦合演化方程。初始温度分布通过Marangoni诱导的剪切应力改变初始流场。然后，这些变化导致初始温度分布所规定的较佳破裂条件。我们发现，通过改变初始速度分布和初始温度分布之间的相位差，可以最小化破裂时间。对于足够大的温差，初始速度和温度分布之间的相位差决定了破裂的位置。
We consider the evolution of a thin viscous fluid sheet subject to thermocapillary effects. Using a lubrication approximation we find, for symmetric interfacial deflections, coupled evolution equations for the interfacial profile, the streamwise component of the fluid velocity and the temperature variation along the surface. Initial temperature profiles change the initial flow field through Marangoni-induced shear stresses. These changes then lead to preferred conditions for rupture prescribed by the initial temperature distribution. We show that the time to rupture may be minimized by varying the phase difference between the initial velocity profile and the initial temperature profile. For sufficiently large temperature differences, the phase difference between the initial velocity and temperature profiles determines the rupture location.