Correlated incompressible and compressible boundary layers
Correlated incompressible and compressible boundary layers
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DOI：
10.1098/rspa.1949.0160
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发表时间：
1949-12
期刊：
影响因子：
--
通讯作者：
K. Stewartson
中科院分区：
文献类型：
--
作者：
K. Stewartson
假定边界是绝热的，粘性与绝对温度成正比，普朗特数为1，则可压缩流体的边界层方程转化为不可压缩流体的边界层方程。然后将不可压缩边界层理论中的各种结果应用到可压缩理论中。特别地，证明了“相似”解的存在性，并将Howarth的滞后流方法应用于确定均匀滞后流速度的分离点。与精确解的比较表明，该方法比Pohlhausen方法给出了更接近的近似。
The boundary-layer equations for a compressible fluid are transformed into those for an incompressible fluid, assuming that the boundary is thermally insulating, that the viscosity is proportional to the absolute temperature, and that the Prandtl number is unity. Various results in the theory of incompressible boundary layers are then taken over into the compressible theory. In particular, the existence of ‘similar’ solutions is proved, and Howarth’s method for retarded flows is applied to determine the point of separation for a uniformly retarded main stream velocity. A comparison with an exact solution is used to show that this method gives a closer approximation than does Pohlhausen’s.