中文摘要：

应用一种轴对称格子-Boltzmann模型模拟了圆管通道内脉动流。首先对α=9.36,Re=319工况下的正弦压力梯度驱动的脉动流进行模拟,模拟的径向无量纲速度和解析解吻合很好,还应用此模型研究了Womersley数对脉动流的影响。模拟结果表明,此轴对称格子-Boltzmann模型能有效模拟圆管脉动流。最后应用该模型对局部扩张管管内流动进行初步的模拟研究,并研究了不同扩张程度对流动的影响。

英文摘要：

An axisymmetric lattice Boltzmann method has been developed to simulate pulsatile flow in circular pipes.First,the pulsatile flow in a circular pipe driven by sinusoidally varying pressure gradient with Womersley number α=9.36,Re=319 was studied.The numerical radial velocity agrees well with the analytical solution.Second,effect of Womersley number on pulsatile flow was investigated.The results demonstrate that the model is capable of handling axisymmetric pulsatile flow.Last,flow through pipes with various expansions was discussed.