Drag on fixed beds of fibres in slow flow

Drag on fixed beds of fibres in slow flow
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慢速流动中纤维固定床的阻力

DOI:
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发表时间:
1998
影响因子:
3.7
通讯作者:
I. Howells
I. Howells
中科院分区:
工程技术2区
文献类型:
--
作者:
I. Howells

文献摘要

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作为早先关于粘性流通过固定球的随机床的工作的继续,用同样的方法研究通过固定圆柱形纤维的床的流动。几种分布的取向被认为是。其目的是找到屏蔽半径和每单位长度的阻力作为纤维占据的体积分数的函数,在半稀释的情况下。第一近似值是由存在达西阻力的粘性流体在无穷远处的均匀流动引起的很长圆柱上的阻力得到的。估计有限长度的影响,和曲率的纤维。最后考虑相邻圆柱体的影响,得到直纤维的第二阶段近似。单向纤维和平面垫的一些实验和数值结果进行了比较。
As a sequel to earlier work on viscous flow through random beds of fixed spheres, the flow through beds of fixed cylindrical fibres is studied by the same method. Several distributions of orientation are considered. The aim is to find the shielding radius and drag per unit length as a function of volume fraction occupied by the fibres, in the semi-dilute situation. The first approximation is obtained from the drag on a very long cylinder resulting from the uniform flow at infinity of a viscous fluid in the presence of Darcy resistance. Estimates are made of the effects of finite length, and of curvature of the fibres. Finally the effect of a neighbouring cylinder is considered, to obtain the second-stage approximation for straight fibres. Comparison is made with some experimental and numerical results for unidirectional fibres and for plane pads.