A note on the history force on a spherical bubble at finite Reynolds number
A note on the history force on a spherical bubble at finite Reynolds number
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DOI：
10.1063/1.868039
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发表时间：
1994
影响因子：
4.6
通讯作者：
R. Mei;J. Klausner;C. Lawrence
中科院分区：
文献类型：
--
作者：
R. Mei;J. Klausner;C. Lawrence
针对有限雷诺数 Re，提出了球形气泡上历史力的近似表达式。小时间时，历史力核是一个常数，随着Re的增加而减小，大时间时，核以t−2衰减。对于气泡上的脉冲流动，精确的有限差分结果表明，气泡上的历史力在很大程度上以 t−2 衰减。目前提出的历史力和数值解之间观察到令人满意的一致性。
An approximate expression for the history force on a spherical bubble is proposed for finite Reynolds number, Re. At small time, the history‐force kernel is a constant, which decreases with increasing Re, and the kernel decays as t−2 for large time. For an impulsively started flow over a bubble, accurate finite difference results show that the history force on the bubble decays as t−2 at large time. Satisfactory agreement is observed between the presently proposed history force and the numerical solution.