具有正弦粗糙度的环形微管道中脉冲流动

发布时间：2018-05-21 00:31

本文选题：压力梯度振荡 + 摄动法　；参考：《应用数学和力学》2016年10期

【摘要】：研究了具有正弦粗糙度的环形微管道中脉冲流动,其中壁面粗糙度用小振幅的正弦波表示,不可压缩粘性脉冲流动由周期振荡的压力梯度驱动,运用摄动展开法求解了柱坐标系下的动量方程,获得了环形微管道内脉冲流动的近似解析速度及其体积流率.在此基础上,研究了相关无量纲参数,如Reynolds(雷诺)数Re、压力梯度振幅A、正弦波状粗糙的小振幅ε、内外半径之比α、相位差β及其波数λ对速度u及平均体积流率Φ_m的影响.结果表明,剖面速度随A的增大而增大,随Re的增大而减小,相位滞后χ随振荡Reynolds数Re的增大而增大.
[Abstract]:The pulse flow in a circular microtube with sinusoidal roughness is studied, in which the wall roughness is represented by a small amplitude sine wave, and the incompressible viscous pulse flow is driven by a pressure gradient of periodic oscillation. The momentum equation in cylindrical coordinate system is solved by perturbation expansion method. The approximate analytical velocity and volume flow rate of pulse flow in annular microtube are obtained. On this basis, the effects of correlation dimensionless parameters, such as Reynolds number (re), pressure gradient amplitude A, sinusoidal rough small amplitude 蔚, ratio of internal and external radii 伪, phase difference 尾 and wave number 位, on velocity u and average volume flow rate 桅 / s m are studied. The results show that the profile velocity increases with the increase of A and decreases with the increase of re, and the phase lag 蠂 increases with the increase of oscillatory Reynolds number re.
【作者单位】：内蒙古大学数学科学学院;内蒙古财经大学统计与数学学院;北京航空航天大学航空科学与工程学院;赤峰学院数学与统计学院;
【基金】：国家自然科学基金(11562014;11472140) 内蒙古自然科学基金(2015MS0113;2015MS0110;2016MS0106) 内蒙古自治区草原英才资助项目(12000-12102013) 内蒙古自治区高等学校科学技术研究项目(NJZY14109) 内蒙古自治区研究生科研创新资助项目(11200-12110201)~~
【分类号】：O357.1

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