Hydrodynamic stability of viscous flow between rotating porous cylinders with radial flow
Hydrodynamic stability of viscous flow between rotating porous cylinders with radial flow
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DOI：
10.1063/1.868077
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发表时间：
1994
影响因子：
4.6
通讯作者：
Kyungyoon Min;Richard M. Lueptow
中科院分区：
文献类型：
--
作者：
Kyungyoon Min;Richard M. Lueptow
对有径向流动的同心圆柱体之间的流动进行了线性稳定性分析。考虑了同旋柱和对旋柱的几种半径比。径向雷诺数在−30到30之间变化，它基于内柱处的径向速度和内径。稳定性方程形成了一个特征值问题，用基于龙格-库塔法的数值技术结合打靶法进行了求解。结果表明，随着径向雷诺数的增大，出现泰勒涡的临界泰勒数先减小后增大。临界泰勒数随径向雷诺数的增大而增大。因此，径向内流和强外流对泰勒涡不稳定有稳定作用，而弱外流对泰勒涡不稳定有失稳作用。扰动速度的相对幅值分布表明，径向向内流动具有较强的可控性。
A linear stability analysis has been carried out for flow between porous concentric cylinders when radial flow is present. Several radius ratios with corotating and counter‐rotating cylinders were considered. The radial Reynolds number, based on the radial velocity at the inner cylinder and the inner radius, was varied from −30 to 30. The stability equations form an eigenvalue problem that was solved using a numerical technique based on the Runge–Kutta method combined with a shooting procedure. The results reveal that the critical Taylor number at which Taylor vortices first appear decreases and then increases as the radial Reynolds number becomes more positive. The critical Taylor number increases as the radial Reynolds number becomes more negative. Thus, radially inward flow and strong outward flow have a stabilizing effect, while weak outward flow has a destabilizing effect on the Taylor vortex instability. Profiles of the relative amplitude of the perturbed velocities show that radially inward flow sh...