Abstract

Taylor–Couette flow between independently rotating cylinders with a relatively small aspect ratio Γ = 2.4 has been investigated numerically. The Navier–Stokes equations with the uncoupled convection-diffusion-reaction equation are solved using a spectral development in one direction combined together with a finite element discretization in the two remaining directions. The study includes the effects of the gravitational and the centrifugal potentials on the stability of incompressible Taylor–Couette flow. When the cylinders start rotating from rest, it is shown that the counter rotation promotes the appearance of the abnormal mode. Furthermore, for a strong counter rotation new small vortices appeared between the outer cylinder and the normal cells. In addition, the effect of the counter-rotation of the cylinders on the mass transfer is pointed out showing a distortion on the Sherwood number and an increase on its amplitude.

中文翻译：

---

使用混合谱/有限元方法对外壁旋转的 Taylor-Couette 流进行数值模拟

摘要

已经对具有相对较小纵横比 Γ = 2.4 的独立旋转圆柱体之间的 Taylor-Couette 流动进行了数值研究。Navier-Stokes 方程与非耦合对流-扩散-反应方程使用一个方向上的光谱发展与两个剩余方向上的有限元离散化相结合来求解。该研究包括重力势和离心势对不可压缩 Taylor-Couette 流稳定性的影响。当气缸从静止状态开始旋转时，表明反向旋转促进了异常模式的出现。此外，由于强烈的逆向旋转，外圆柱体和正常细胞之间出现了新的小漩涡。此外，