论文标题
两流体流体动力模型的分析溶液
Analytic solutions of a two-fluid hydrodynamic model
论文作者
论文摘要
我们研究了一个笛卡尔坐标系统中不可压缩的耦合Euler和不可压缩的Navier-Stokes方程所描述的一维流。我们将两种流体通过连续性方程式进行,其中可以考虑不同的空隙部分。应用了众所周知的自相似ANSATZ,并为速度和压力场得出了分析溶液。解决方案可以用误差函数表示。
We investigate a one dimensional flow described with the non-compressible coupled Euler and non-compressible Navier-Stokes equations in Cartesian coordinate systems. We couple the two fluids through the continuity equation where different void fractions can be considered. The well-known self-similar Ansatz was applied and analytic solutions were derived for both velocity and pressure field as well. The solutions can be expressed with the error functions.