总览 评价 肖建华 * （ 河南理工大学
） 摘要： Taking the classical steady laminar solution as the first approximation, the critical Reynolds number problem for plane Poiseuille flow is studied by perturbation method
The solution of Navier-Stokes equation is obtained
Then, the critical Reynolds number is expressed by the steady laminar solution
The result shows that, for plane Poiseuille flow, the critical Reynolds number is a function of position
At the wall position, the critical Reynolds number is roughly 1; near the wall position, the critical Reynolds number is very different; for the centre zone of transportation, the critical Reynolds number is a limit value
However, this limit value is very sensitive about initial condition, which is a fact well known for experiment researchers
Except at wall position, the critical Reynolds number is transportation distance dependent
For very long transportation distance, the critical Reynolds number tends to zero
关键词： critical Reynolds number, Navier-Stokes equation, plane Poiseuille flow Xiao Jianhua * （ Henan Polytechnic University
） Abstract： Taking the classical steady laminar solution as the first approximation, the critical Reynolds number problem for plane Poiseuille flow is studied by perturbation method
The solution of Navier-Stokes equation is obtained
Then, the critical Reynolds number is expressed by the steady laminar solution
The result shows that, for plane Poiseuille flow, the critical Reynolds number is a function of position
At the wall position, the critical Reynolds number is roughly 1; near the wall position, the critical Reynolds number is very different; for the centre zone of transportation, the critical Reynolds number is a limit value
However, this limit value is very sensitive about initial condition, which is a fact well known for experiment researchers
Except at wall position, the critical Reynolds number is transportation distance dependent
For very long transportation distance, the critical Reynolds number tends to zero
Keywords： critical Reynolds number, Navier-Stokes equation, plane Poiseuille flow 下载PDF阅读器 PDF全文下载： 初稿 （ 309 ） 作者简介： 通信联系人： 【收录情况】 中国科技论文在线： 肖建华
平面Poiseuille流的临界Reynolds数[EB/OL]
北京：中国科技论文在线
[2007-09-04]
http://www
paper
edu
cn/releasepaper/content/200709-37
