【摘要】 研究了平行板微管道内周期旋转电渗流动.基于线性Poisson-Boltzmann方程和NavierStokes方程,利用本征函数展开法,求解了电渗流(Electroosmotic flow)速度和体积流率的解析解.在此基础上,研究了外加交流电场振荡频率α,旋转角速度频率ReΩ和电动宽度K对速度和体积流率的影响.结果表明,速度和体积流率的峰值随时间t先增大然后达到稳定的最大峰值,当速度峰值达到最大后,流速和体积流率都是随时间t的周期函数.速度和体积流率达到最大峰值所需要的时间随着ReΩ的增大而增大.更多还原

【Abstract】 Flow behavior of periodic rotating electroosmosis in a microtube consisting of two micro-parallel plates is investigated based on a linearized Poisson-Boltzmann equation and NavierStokes equation.Using the method of the eigenfunction expansion,analytical solutions of electroosmotic(EO)flow velocity and the volume flow rate distribution as functions of time t and relevant parameters are analyzed.By numerical computation,the influences of related dimensionless parameters,such as oscillating angular frequencyαof the external forced AC electrical field and oscillating angular frequency ReΩin the rotating frame,on velocity and volume rate profiles are presented.The results show that the peaks of velocity and volume flow rate increase first and then attain a maximum value.And later,both of velocity and volume flow rate are periodic with a maximum peak.With increasing ReΩ,the time needed by reaching the steady peaks of velocity and volume flow rate becomes longer.更多还原