The deformation of a liquid film flowing down an inclined plane wall over a small particle arrested on the wall
The deformation of a liquid film flowing down an inclined plane wall over a small particle arrested on the wall
复制标题
沿着斜面壁流过壁上捕获的小颗粒的液膜的变形
DOI：
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发表时间：
1991
期刊：
影响因子：
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通讯作者：
S. Thoroddsen
中科院分区：
文献类型：
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作者：
C. Pozrikidis;S. Thoroddsen
在渐近极限下研究了沿倾斜平面壁面向下流动的液膜自由表面的形状，在渐近极限下，颗粒的尺寸远小于液膜厚度，并且雷诺数小到零。使用Stokes流的边界积分方法，将问题表示为自由表面高程和自由表面速度三个分量的四个线性积分和微分方程组，并使用半迭代方法求解。结果表明，颗粒引起的自由表面上游的显着变形的颗粒之前，和一个类似的表面尾迹下游的颗粒后面。变形和扰动流的详细特征强烈地受颗粒的几何形状、表面张力和壁的倾斜度的影响。
The shape of the free surface of a liquid film flowing down an inclined plane wall over a particle captured on the wall is studied in the asymptotic limit where the size of the particle is much smaller than the film thickness, and the Reynolds number is vanishingly small. Using the boundary integral method for Stokes flow, the problem is formulated in terms of a system of four linear integral and differential equations for the elevation of the free surface and the three components of the velocity at the free surface, and is solved using a semi‐iterative method. The results demonstrate that the particle causes a marked deformation of the free surface upstream right before the particle, and a surface corrugation resembling a surface wake downstream behind the particle. The detailed features of the deformation and the disturbance flow are affected strongly by the geometry of the particle, surface tension, and the inclination of the wall.