具有正弦粗糙度的环形微管道中脉冲流动
摘要
Oscillating flow in annular microchannels with sinusoidal wall roughness was investigated. The oscillating flow of incompressible viscous fluid was driven by a time-periodically oscillating pressure gradient. Approximate solutions of the velocity and flow rate in the annular microchannel were obtained through computation of the momentum conservation equations in the cylindrical coordinate system with the perturbation method. Based on these approximate solutions, the effects of the relevant nondimensional parameters, such as Reynolds number <em>Re</em>, pressure gradient amplitude<em> A</em>, sinusoidal roughness amplitude<em> ε</em>, ratio of the inner radius to the outer radius<em> α</em>, phase difference<em> β</em> and wave number <em>λ</em>, on velocity u and flow rate <em>Φ</em><sub>m</sub>, were analyzed. The results show that the velocity increases with <em>A </em>and decreases with <em>Re</em>, and phase lag <em>χ</em> increases with<em> Re</em>.