Fluid flow in regions bounded by porous surfaces
Fluid flow in regions bounded by porous surfaces
复制标题
DOI：
10.1098/rspa.1956.0050
复制
发表时间：
1956-03
期刊：
影响因子：
--
通讯作者：
G. Taylor
中科院分区：
文献类型：
--
作者：
G. Taylor
本文研究了多孔表面吸走边界层或吹入空气的空气动力学效应，假设通过多孔表面的流量是由实验者控制的。当所有的流体通过孔隙到达流场时，流场中任何一点的压力取决于通过流场的多孔表面上的分布，并且流场中任何一点的通流取决于那里的压力。用数学方法描述这种流动是困难的，以前似乎没有讨论过这种情况。在§ 1中，一种特殊的情况，即流体通过一种材料制成的楔形体、圆柱体或圆锥体的情况，其阻力与通过它的速度的平方成正比，用一个积分方程来处理。这个方程被求解，结果被简化为一种形式，这种形式适合于实验验证。在§ 2中描述了实验，其中分析中假设的物理条件非常接近，然后验证了理论结论。最引人注目的结果是协议，在1%之内，计算和测量之间的水从坦克通过内部多孔管，其基础是在底部的孔排放。测得的喷孔平面内的速度分布也与计算结果一致。在满足正确的实验条件下，多孔锥的实验也得到了与理论一致的结果。
The aerodynamic effects of sucking away boundary layers or blowing air into them through a porous surface have been studied on the assumption that the rate of discharge through the pores is under the control of the experimenter. When all the fluid reaches the field of flow through the pores the pressure at any point in the field depends on the distribution over the porous surface of the flow through it, and the through-flow at any point of it depends on the pressure there. To describe flow of this kind mathematically is difficult and no case seems to have been discussed before. In § 1 a particular case, that of flow through a wedge, cylinder or cone made of a material the resistance of which is proportional to the square of the velocity through it, is treated by means of an integral equation. This equation is solved and the results reduced to a form which lends itself to experimental verification. In § 2 experiments are described in which the physical conditions assumed in the analysis were very nearly attained and the theoretical conclusions then verified. The most striking result was the agreement, to within 1%, between the calculated and the measured discharge of water from a tank through an internal porous tube whose base was an orifice in the bottom. The measured distribution of velocity in the plane of the orifice also agreed with the calculations. Experiments with porous cones also yielded results agreeing with theory when the correct experimental conditions could be satisfied.