摘要
针对Navier Stokes方程中的各项微商 ,通过选择内禀参考尺度 ,并根据连续函数的若干性质 ,在结合实验观察结果的基础上 ,确定其数量级的大小 ,再进一步对方程中的各项进行尺度化分析 ,使得方程中各项的数量级无量纲化 ,并评估方程中各项微商的数量级大小 ,略去数量级小于 1的项 ,从而成功推导出了Prandtl边界层微分方程 .
By selecting intrinsic reference scaling, and according to some related properties of continuous function, the magnitude of each tiny quotient in Navier Stokes equation was determined based on some experimental materials. Then scaling analysis was carried out to make each part of the equation non dimensional, and the magnitude of each tiny quotient of the equation was evaluated. By removing the parts whose magnitude was less than 1, Prandtl boundary layer differential equation was induced successfully. To a certain extent, this method discloses the mathematical and physical essence of boundary differential equation.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2003年第10期61-64,共4页
Journal of South China University of Technology(Natural Science Edition)
关键词
边界层
尺度化
数量级
boundary layer
scaling
magnitude
