Laminar free convection in boundary layers near horizontal cylinders and vertical axisymmetric bodies
Laminar free convection in boundary layers near horizontal cylinders and vertical axisymmetric bodies
复制标题
水平圆柱体和垂直轴对称体附近边界层的层流自由对流
DOI：
10.1017/s0022112067000904
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发表时间：
1967
影响因子：
3.7
通讯作者：
S. Churchill
中科院分区：
文献类型：
--
作者：
D. Saville;S. Churchill
本文研究了具有相当任意体形的水平圆柱体或垂直轴对称体附近自由对流的描述问题。温度函数和流函数的两个耦合偏微分方程的解用级数表示，这些级数对于特定类别的身体形状（例如圆鼻圆柱体）的身体轮廓是通用的。该级数似乎收敛得很快，因此即使对于不允许通常的相似变换的体型类别，也只需要最少的计算量。无论对水平、圆柱体还是球体，级数收敛速度都快于Blasius型的展开式和单项近似，与现有的一些实验数据相比较有利。
In this article the problem of describing free convection near either horizontal cylinders or vertical axisymmetric bodies with fairly arbitrary body contours is studied. The solutions of two, coupled, partial differential equations, for the temperature and stream functions, are represented by series which are universal with respect to body contours within a specified class of body shapes (e.g. round-nosed cylinders). The series appear to converge rapidly so that a minimum of computational effort is required, even for classes of body shapes which do not admit the usual similarity transformations. For either horizontal, circular cylinders or spheres the series converge faster than expansions of the Blasius type and one-term approximations compare favourably with some of the existing experimental data.