浸没边界方法在微型泵中的应用研究

Study on the application of immersed boundary method to micro-pumps

本文给出了有限体积数值离散中,采用双线性速度插值的直接强迫力浸没边界方法的数值实现公式推导;该方法对微小型泵内部流动的数值模拟结果与试验数据一致;使用该方法研究了泵顶部的平板长度对泵的流动特性的影响,发现平板附近的进口涡对流动的阻隔作用是影响泵流量的重要因素,在平板的相对长度为4的情况下,进口涡的阻隔作用最小,此时可以得到泵的最大流量。

A formulation of immersed boundary method which uses a direct force to simulate the influences of boundaries on the flow is presented in details.The method uses a bi-linear velocity interpolation and is embedded in a finite volume solver.The results of micro-pump flow calculated by the solver agree well with the experiment data.Simulations are used to study the influence of a flat plate at the top of the pump on the flow inside the pump and to optimize the length of this plate.It is found that the blockage of inlet eddy is an important factor that influences the pump flow rate and that the pump achieves its maximum flow rate at the relative length 4 of the plate and the minimum blockage.