论文标题

拖动球形气泡的通用模型

A universal model for drag on a spherical bubble

论文作者

Sun, Qiang, Klaseboer, Evert

论文摘要

从非常粘性到惯性流条件的整个范围内,将拖动的理论表达得出。它仅基于决定阻力的速度轮廓的部分解决方案。假定气泡的表面具有零切向应力条件。 Mei等人与先前提出的经验模型的良好同意。获得。这表明具有相对简单物理的理论框架仍然可以准确预测球形气泡的终端速度。据我们所知,这是流体动力学中为数不多的模型之一,可以预测一系列遍布许多数量级的雷诺数的对象上的拖动。

A theoretical expression for the drag on a spherical bubble is derived for the entire range from very viscous to inertial flow conditions. It is based on a solution for only that part of the velocity profile that determines the drag. It is assumed the surface of the bubble has a zero tangential stress condition. Excellent agreement with a previously proposed empirical model by Mei et al. is obtained. This shows that a theoretical framework with relatively simple physics can still predict the terminal velocity of a spherical bubble accurately. To the best of our knowledge, this is one of the few models in fluid dynamics to predict drag on an object for a range of Reynolds numbers that spans many orders of magnitude.

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