Taylor dispersion revisited

Taylor dispersion revisited
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DOI:
10.1016/0378-4371(90)90023-l
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发表时间:
1990-10
影响因子:
3.3
通讯作者:
C. Broeck
C. Broeck
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
C. Broeck

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1954年,Taylor [1]从理论和实验两方面研究了悬浮在流体中的颗粒在圆柱形管道中的Poietille流中的运动。他观察到,当颗粒以等于流体的平均速度ff被带到下游(即沿着管的轴x)时,它们也以类似扩散的方式围绕这个平均运动被分散。更准确地说,他证明了在时间t在位置x观察悬浮粒子的概率密度P(x,t),服从以下对流扩散(或福克-普朗克)方程,(渐近)大时间t:
In 1954, Taylor [1] investigated, both theoretically and experimentally, the motion of particles suspended in a fluid in Poiseuille flow through a cylindrical tube. He observed that, while the particles are being carried downstream (that is, along the tube's axis x) with an average velocity ff equal to that of the fluid, they are also being dispersed in a diffusion-like manner, around this average motion. More precisely, he proved that the probability density P (x, t) for observing a suspended particle at position x at time t, obeys the following convection-diffusion (or Fokker-Planck) equation, for (asymptotically) large times t: