粘性流体在圆-圆柱壳内流动速度的理论研究

Hao Yajuan, Shi Yunhui, Ping Panpan
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引用次数: 0

摘要

提出了一种用拉格朗日-欧拉联合方法求解粘性流体和圆柱壳问题的理论算法。在这种方法中,每种材料都在其首选参考框架中进行描述。流体流动在欧拉坐标系中给出,而弹性圆柱壳在拉格朗日坐标系中处理。在低雷诺数假设下,研究了粘性流体填充的二维均匀弹性圆柱壳内的流体速度。粘性流体与弹性圆柱壳之间的耦合是壳体表面的运动学条件。此外,还利用图形讨论了流体的径向速度和轴向速度。
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Theoretical Study on Fluid Velocity for Viscous Fluid in a CircularCylindrical Shell
A theoretical algorithm by united Lagrangian-Eulerian method for the problem in dealing with viscous fluid and a circular cylindrical shell is presented. In this approach, each material is described in its preferred reference frame. Fluid flows are given in Eulerian coordinates whereas the elastic circular cylindrical shell is treated in a Lagrangian framework. The fluid velocity in a two-dimensional uniform elastic circular cylindrical shell filled with viscous fluid is studied under the assumption of low Reynolds number. The coupling between the viscous fluid and the elastic circular cylindrical shell is kinematic conditions at the shell surface. Also, the radial velocity and axial velocity of the fluid are discussed with the help of graphs.
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