粗糙圆形管道中的振荡流  

Oscillating Flow in a Circular Channel with Corrugated Wall

作　　者：张海燕[1] 王海钧[2] 刘全生[3] 

机构地区：[1]包头师范学院数学科学学院,包头014030 [2]内蒙古师范大学数学科学学院,呼和浩特010022 [3]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2016年第5期493-499,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11562014;51579157)

摘　　要：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.

关 键 词：压力梯度振荡 摄动法 波状壁面 圆形管道 

分 类 号：O357.1[理学—流体力学]