论文标题
非圆形横截面下降离心机中非线性波的形成
Formation of nonlinear waves in decelerated centrifuges of noncircular cross-section
论文作者
论文摘要
在理想的流体近似值内研究了在部分填充和不均匀的旋转容器中具有自由边界的平面流动，并具有横截面的不均匀旋转的容器。假定涡度在整个流体上是恒定的，从而使我们能够基于共形变量和快速傅立叶变换算法的自由边界的精确运动方程应用最近开发的高效数值方法。结果表明，这种离心机的减速旋转会导致形成强烈的非线性断裂波具有锋利的波峰，并且波浪倾覆在旋转方向或朝向上发生，具体取决于（负）角度加速度的值。
Planar flows with a free boundary in a partially filled and nonuniformly rotating container, with a strongly noncircular shape of the cross-section, are investigated numerically within the ideal fluid approximation. Vorticity is assumed constant across the fluid, thus allowing us to apply the recently developed, highly efficient numerical method based upon exact equations of motion of the free boundary in terms of conformal variables and on the fast Fourier transform algorithms. It is shown that decelerated rotation of such centrifuge leads to formation of strongly nonlinear breaking waves with sharp crests, and the wave overturning occurs either in the rotation direction or against it, depending on value of the (negative) angular acceleration.
