Srivastava L M, Srivastava V P
J Biomech. 1985;18(4):247-53. doi: 10.1016/0021-9290(85)90842-5.
The effect of pulsatile flow on peristaltic transport in a circular cylindrical tube is analysed. The flow of a Newtonian viscous incompressible fluid in a flexible circular cylindrical tube on which an axisymmetric travelling sinusoidal wave is imposed, is considered. The initial flow in the tube is induced by an arbitrary periodic pressure gradient. A perturbation solution with amplitude ratio (wave amplitude/tube radius) as a parameter is obtained when the frequency of the travelling wave and that of the imposed pressure gradient are equal. The interaction effects of periodic wall induced flow and periodic pressure imposed flow are visualized through the presence of substantially different components of steady and higher harmonic oscillating flow in the first order flow solution. Numerical results show a strong variation of steady state velocity profiles with boundary wave number and Reynolds number and a strong phase shift behaviour of the flow in the radial direction.
分析了脉动流对圆柱管中蠕动传输的影响。考虑了在柔性圆柱管中牛顿粘性不可压缩流体的流动，该管上施加了轴对称行波正弦波。管中的初始流动由任意周期性压力梯度引起。当行波频率与施加的压力梯度频率相等时，得到了以振幅比（波幅/管半径）为参数的摄动解。通过一阶流动解中稳态和高次谐波振荡流的显著不同分量，直观地展示了周期性壁面诱导流和周期性压力施加流的相互作用效应。数值结果表明，稳态速度分布随边界波数和雷诺数有很大变化，且流动在径向有很强的相移行为。
