论文标题
理论分析用于在Hele-Shaw细胞中升起的气泡变平的理论分析
Theoretical analysis for flattening of a rising bubble in a Hele-Shaw cell
论文作者
论文摘要
我们使用Park和Homsy的边界条件来计算在无限大且封闭的Hele-Shaw细胞中气泡上升的形状和速度，这说明了周边区域中三维结构的变化。我们首先以各种问题的形式提出问题，并讨论形状变化，假设气泡具有椭圆形。我们计算气泡的形状和速度是气泡大小，间隙距离和细胞倾斜角的函数。我们表明气泡随着泡沫的升高而变平。该结果与对大型Hele-Shaw细胞的实验一致。
We calculate the shape and the velocity of a bubble rising in an infinitely large and closed Hele-Shaw cell using Park and Homsy's boundary condition which accounts for the change of the three dimensional structure in the perimeter zone. We first formulate the problem in the form of a variational problem, and discuss the shape change assuming that the bubble takes elliptic shape. We calculate the shape and the velocity of the bubble as a function of the bubble size, gap distance and the inclination angle of the cell. We show that the bubble is flattened as it rises. This result is in agreement with experiments for large Hele-Shaw cells.
