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NUMERICAL SIMULATION OF A SMALL BUBBLE IMPINGING ONTO AN INCLINED WALL

机译:撞击倾斜壁上的小气泡的数值模拟

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This paper presents a numerical modeling of the collision between a small bubble -of a few hundred microns, initially moving at terminal velocity, and an inclined wall, with relevance to drag reduction schemes. The theoretical model uses the lubrication theory to describe the film drainage as the bubble approaches the wall, and compute the force exerted by the wall as the integral of the excess pressure due to the bubble deformation. The model is solved using finite differences. The trajectory of the bubble is then determined using equations of classical mechanics. This study is an extension of previous work by Moraga, Cancelos and Lahey, [Multiphase Science and Technology, 18 ,(2),2006] where the simulation and comparison with experiments was carried out for a horizontal wall. In the present study where the wall is inclined, the bubble trajectory is no longer one-dimensional and axisymmetry around the vertical axis is lost, allowing for more complex behavior. The influence of various parameters (Reynolds number, Weber number) is examined. Numerical results are compared with the experimental data from Tsao and Koch [Physics Fluids 9, 44, 1997].
机译:本文呈现了几百微米的小气泡 - 初始速度和倾斜壁移动的小气泡与倾斜壁之间的数值建模,其具有减阻方案的相关性。理论模型使用润滑理论描述薄膜排水,因为气泡接近墙壁,并计算壁施加的力作为由于气泡变形引起的过度压力的积分。使用有限差异来解决该模型。然后使用经典力学的方程确定气泡的轨迹。本研究是莫拉加,援助和Lahey的先前工作的延伸,[多相科学和技术,18,(2),2006],用于水平墙进行模拟和比较。在壁倾斜的本研究中,气泡轨迹不再是纵向轴绕围绕纵轴的一维和轴对称,允许更复杂的行为。检查各种参数(雷诺数,韦伯号码)的影响。将数值结果与来自Tsao和Koch [物理流体9,44,1997]的实验数据进行比较。

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