摘要
本文用加权残值法得到了沿垂等温平板的自然对流问题的近似解析解。和已有准确解(数值解)的比较表明,在平板表面附近,近似解有很好的精度。而且速度场的精度比温度场更好一些。文末还对配域法的准收敛问题作了说明。
In the paper, using the method of weighted residual (MWR), the author obtained an approximate analytical solution for the temperature boundary layer along a vertical flat plate under free convection. A comparison of the result of this paper with the known accurate numerical solution of the same problem shows that the result of the approximate solution near the surface of the flat plate is quite accurate. And the result of the velocity field is even better than that of the temperature field. At the end of this paper, the author comments on the prob-
lem of paraconvergence for the regional collocation method.
出处
《上海力学》
CSCD
1995年第3期262-266,共5页
Chinese Quarterly Mechanics
关键词
自然对流
平板
温度边界层
解析解
粘性流体力学
Free convection, Flat plate, Temperature boundary layer, Analytical solution, Method of weighted residuals.