Flow about a growing sphere in contact with a plane surface
Flow about a growing sphere in contact with a plane surface
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围绕与平面接触的生长球体流动
DOI：
10.1016/0017-9310(68)90044-6
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发表时间：
1968
影响因子：
5.2
通讯作者：
P. Chambré
中科院分区：
文献类型：
--
作者：
C. P. Wttze;V. Schrock;P. Chambré
给出了一种描述在球体周围的半无限液体中的势流模式的解，该球体在保持与平面固体表面相切的同时增长。给出了势分布解的精确积分表示。用被积函数的简单解析表示代替了被积函数的精确形式，从而提供了势场和速度场的封闭形式的解析结果。流体的总动能与希夫曼和弗里德曼早先但不太详细的计算结果吻合得很好。对于一个特定的生长规律，估算了压力分布，并利用它形成了一个新的球体脱离表面的判据。这种解决方案应该在沸腾气泡动力学、水下爆炸和空化研究中得到应用。
A solution is presented describing the potential flow pattern in a semi infinite liquid surrounding a sphere that is growing while remaining tangent to a plane solid surface. An exact integral representation of the solution for the potential distribution is given. A simple analytic representation for the integrand was chosen to replace the exact form and thus provide closed form analytic results for both the potential and velocity distribution.Properties of the flow field are examined. The total kinetic energy of the fluid agrees well with the result of an earlier but less detailed calculation by Shiffman and Friedman. For one specific gowth law the prlssure distribution was evaluated and used to form a new criterion for detachment of the sphere from the surface. The solution should find application in boiling bubble dynamics, underwater explosions and cavitation studies.