宽间隙粘弹性泰勒-库埃特流中的竞争不稳定性：泰勒涡与螺旋涡
Competing instabilities in wide-gap viscoelastic Taylor-Couette flow: Taylor vs. helical vortices
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中文总结 AI 辅助
本文采用Oskolkov模型，通过直接数值模拟研究小半径内圆柱旋转的宽间隙粘弹性泰勒-库埃特流的稳定性，发现弹性力增大会使螺旋扰动比轴对称扰动更危险，临界雷诺数与线性理论预测一致。
中文摘要 AI 辅助
本文对旋转内圆柱间聚合物溶液流的稳定性开展数值研究，内圆柱半径较小。流体运动采用开尔文-沃伊特（Kelvin-Voigt）模型的特定形式（常称奥斯科尔科夫（Oskolkov）模型）描述，该模型适用于极稀聚合物溶液，其延迟时间远小于问题特征时间，弹性力远小于粘性力。通过引入有限时长白噪声扰动的直接数值模拟，采用完全非线性方法研究稳态运动的稳定性。根据雷诺数不同，扰动要么衰减要么增长。所得牛顿流体与非牛顿流体的临界雷诺数与线性理论预测一致。研究还表明，弹性力增大使螺旋扰动比轴对称扰动更具危险性。
英文摘要
This paper presents a numerical study of the stability of a polymer solution flow between concentric cylinders with a rotating inner cylinder. The case of a small-radius inner cylinder is considered. The fluid motion is described using a specific case of the Kelvin-Voigt model, often referred to as the Oskolkov model. This model is applicable to very dilute polymer solutions, where the retardation time is much smaller than the characteristic time of the problem and elastic forces are much smaller than viscous forces. The stability of the steady-state motion is investigated using a fully nonlinear approach by means of direct numerical simulation of a perturbation introduced as finite-duration white noise. Depending on the Reynolds number, the perturbation either decays or grows. The critical Reynolds numbers obtained for both Newtonian and non-Newtonian fluids are found to be in agreement with the predictions of the linear theory. It is also shown that an increase in the elastic forces makes helical perturbations more dangerous than their axisymmetric counterparts.
发表机构
- Institute of Hydrodynamics SB RAS（俄罗斯科学院西伯利亚分院水动力学研究所）
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