统一的管阵流固耦合均匀化模型
A UNIFIED HOMOGENIZATION MODEL FOR THE INTERACTION BETWEEN TUBES AND FLUID
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摘要: 采用渐近均匀化方法,得到了管阵流固耦合的两套完全等价的控制方程,发现它们正好分别是Schumann和Banner在1981年和Brochard和Hammami在1991年提出的两套方程,给出了相应的两套参数之间的相互联系.这说明,由于本文的推导,现有的理论得到了统一Abstract: Two equivalent homogenized equations presenting the dynamic behaviour of tubes in fluid are developed. Correspondently, the relation between parameters in the both equations are given too. It is interesting that both the equations are just the ones obtained by Schumann and Benner in 1981 and Brochard and Hammami in 1991, respectively. In fact, a unified homogenization theory for the interaction between tubes and fluid has been presented in the paper.