渐变截面圆管道内粘性流动的相似性解
SIMILARITY SOLUTIONS OFVISCOUS FLOWS IN THESECTION-GRADUALLY-VARYINGPIPES
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摘要: 针对轴对称内流问题进行了相似性分析与讨论,指明存在相似性解时的管壁形状要求。通过非线性常微分方程的数值求解得到轴向速度分布图谱及局部摩擦系数关于雷诺数的分布特性,压力分布则可得到一解析关系式。分析结果表明,平直圆管的Hagen-Poiseuille流是本文结果的一种极限情况。Abstract: Similarities of axisymmetrical internalfluid flows are discussed in this paper. Similarity so-lutions exist only for a special kind of tube shapes.In this case, a pressure formula may be derived andvelocity and local friction coefficient distributionsmay be computed numerically. The results showthat the Hagen-Poiseuille flow in strait pipes is alimit state of our cases.