Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
Numerical Solution of the Navier-Stokes Equations for the Flow in a Two-Dimensional Cavity
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DOI：
10.1143/jpsj.16.2307
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发表时间：
1961-11
影响因子：
1.7
通讯作者：
M. Kawaguti
中科院分区：
文献类型：
--
作者：
M. Kawaguti
本文研究了粘性流体在二维矩形空腔中的流动。假设空腔由三个刚性的平面壁和一个在其平面内运动的平板所限定，在这三个刚性的平面壁上流体速度为零。对于矩形截面的边长比，选择了三种情况：2：1，1：1，1：2。流动的雷诺数变化为0，1，2，4，8，16，32，64，128。对于这些情况，Navier-Stokes方程已经在高速电子数字计算机的帮助下数值积分。图中给出了一些典型情况下的流线、等涡度线和等压线。还显示了沿着中心线的速度分布和两侧壁上的压力分布。
The flow of viscous fluid in a two-dimensional rectangular cavity has been studied. It is assumed that the cavity is bounded by three rigid plane walls, on which the fluid velocity is zero, and by a flat plate moving in its own plane. For the ratio of the lengths of sides of rectangular cross section, three cases have been chosen: 2:1, 1:1, 1:2. The Reynolds number of the flow is varied as 0, 1, 2, 4, 8, 16, 32, 64, 128. For these cases, the Navier-Stokes equations have been numerically integrated with the aid of high-speed electronic digital computers. Stream-lines, equi-vorticity lines, and isobaric lines for some typical cases are shown in figures. Velocity distributions along the centre line and pressure distributions over the both side walls are also shown.