粗糙圆形管道中的振荡流

Oscillating Flow in a Circular Channel with Corrugated Wall

在壁面粗糙为振幅很小的正弦波的圆形管道中,周期振荡的压力梯度驱动不可压粘性流体的流动,运用摄动法求解管道内流体的近似解析速度及其体积流率.在此基础上研究了无量纲参数对速度u及体积流率Q的影响,比如雷诺数Re,无量纲的压力梯度振幅参数A,正弦波状粗糙的小振幅ε,以及波数k.其中,速度及体积流率随着Re的增加而减小;随着压力梯度振幅参数A的增加而增加.

Utilizing perturbation method, the approximate analytical solutions of velocity are presented for an incompressible viscous fluid flow driven by the oscillation of the pressure in a circular channel with corrugated wall. The corrugations inside the wall are described as periodic sinusoidal waves with small amplitudes. Based on the analysis, the influence of several dimensionless param-eters such as Reynolds number Re,dimensionless amplitude A of pressure gradient,the roughness parameter ε and wave number k on velocity u and volume flow rate Q are discussed. Both the velocity u and volume flow rate Q increase with the dimensionless amplitude A Of pressure gradient,and decrease with Reynolds number Re.