[1]陈景尧.再论气泡、液滴和固体球在粘性流体的运动 管壁的影响问题[J].东南大学学报(自然科学版),1982,12(3):44-68.[doi:10.3969/j.issn.1001-0505.1982.03.004]
 Chen Jing-yao.On theory of Bubble Drop and Solid Sphere Moving along Axis of a Circular Tube Filled with Viscous Fluid[J].Journal of Southeast University (Natural Science Edition),1982,12(3):44-68.[doi:10.3969/j.issn.1001-0505.1982.03.004]
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再论气泡、液滴和固体球在粘性流体的运动 管壁的影响问题()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
12
期数:
1982年第3期
页码:
44-68
栏目:
本刊信息
出版日期:
1982-09-20

文章信息/Info

Title:
On theory of Bubble Drop and Solid Sphere Moving along Axis of a Circular Tube Filled with Viscous Fluid
作者:
陈景尧
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Author(s):
Chen Jing-yao
关键词:
雷诺数 粘性流体 管径比 表达式 运动方程 边界条件 系数公式 线运动 函数 实验结果
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1982.03.004
摘要:
本文在前一篇文章[6]的基础上,考虑了圆管壁面对球在粘性流体中运动的影响。提供了球在圆管中心线运动时的阻力系数公式。公式与球管径比值a/b及雷诺数R有关。文中给出了a/b各次幕的系数中一些无穷积分的表达式,它们都是以管子半径b为特征尺寸的雷诺数S的函数。对于一系列S之值,算出了这些函数的相应之值。对所得的阻力系数公式,用实验结果进行了检验。检验表明,所得结果在雷诺数为0<R<5,球管径比值为0<a/b<0.5以及R<1.5,a/b=0.6的范围内,理论计算与实验结果的符合程底是相当好的。当雷诺数R或球管径比值a/b很小时,所得结果又都转化为和已有的研究结果相一致。
Abstract:
This paper is a continuation of a previous one by the same author, and is concerned with the wall effect on the motion of a sphere in a viscous fluid. Based on an appropriate solution of oseens’ eguation of motion as given by the author in the previous paper, a new formula for the drag of the sphere moving along the axis of a circular tube is presented in this paper. The formula is valid for both solid sphere and fluid sphere. It depends on the Reynolds number R charaterized by the radius a of the sphere and on the ratio of theradius of the sphere to that of the circular tube (h)" The coefficients of the various powers of the ratio a/b in the drag formula involve a series of expressions of some infinite integrals involving Bessel functions with complex argument. These infinite integrals are functions of Reyenolds number S characterized by the radius of tile circular tube. Their values corresponding to a series of values of S have been calculaled and tabulated. The drag formula is checked with known experimetal data provided by some investigators. It appears that in the ranges of Reynolds number 0≤R≤5, and of the ratio of radius 0≤a/b≤0.5, and also in the domain R>1.5, a/b≤0.5, the theoretical calcuation agrees fairly well with the experimental data. For small R the drag formula can be converted to relevant forms which are in agreement with the results obtained by previous investigators.
更新日期/Last Update: 2013-05-01