Study on effects of thickness on airfoil-stall at low Reynolds numbers by cusp-catastrophic model based on GA(W)-1 airfoil
Study on effects of thickness on airfoil-stall at low Reynolds numbers by cusp-catastrophic model based on GA(W)-1 airfoil
复制标题
基于GA(W)-1翼型的尖点灾难模型研究厚度对低雷诺数翼型失速的影响
DOI：
10.1016/j.cja.2019.12.024
复制
发表时间：
2020-05
影响因子：
5.7
通讯作者：
Jian ZHANG
中科院分区：
文献类型：
--
作者：
Zhiping LI;Peng ZHANG;Tianyu PAN;Qiushi LI;Jian ZHANG
翼型失速现象在低雷诺数下表现为突变和滞后现象。二维翼型GA（W）-1的数值模拟结果表明，翼型失速滞回线的宽度会随着厚度比的减小而逐渐变小，甚至消失。这些非线性特征与尖点突变模型的拓扑特征相一致。根据拓扑不变原理，提出了一种新的拓扑映射方法，建立了尖点突变模型与翼型失速特性之间的映射关系，并成功地利用尖点突变模型定量描述了厚度比对翼型失速特性的影响。进一步，基于建立的拓扑映射关系，结合翼型失速的平均流场，首次引入尖点突变模型的势函数方法来解释翼型失速的突变和滞后现象，发现随着厚度比的减小，系统的最大势能逐渐消失，翼型前缘的短分离泡转变为长分离泡，翼型失速由单稳态系统转变为单稳态系统。
The phenomena of an airfoil stall present the behaviors of catastrophe and hysteresis at low Reynolds numbers. Numerical simulation results of two-dimensional airfoil GA(W)-1 show that the width of the hysteresis loop of airfoil stall will gradually decrease and even disappear with the decrease of thickness ratio. These nonlinear characteristics are in accordance with the topological features of the cusp catastrophic model. According to the topological invariant principle, a novel topological mapping method is developed to establish the mapping relationship between cusp catastrophic model and stall characteristics of the airfoil, then the effect of thickness ratio on airfoil stall is successfully described quantitatively by cusp catastrophic model. Further, based on the established topological mapping relationship, combined with the mean flow field of the airfoil stall, potential function approach of cusp catastrophic model is first introduced to interpret the catastrophe and hysteresis of the airfoil stall, and it is found that as the thickness ratio decreases, the system's maximal potential energy gradually disappears, and the short separation bubble at the leading edge of the airfoil changes to long separation bubble, so the airfoil stall changes from a bistable system to a monostable system.
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DOI：
10.1016/j.cnsns.2013.05.031
发表时间：
2014
期刊：
Commun. Nonlinear Sci. Numer. Simul.
影响因子：
--
作者：
G. R. R. Lamooki-G.-R.-R.-Lamooki-3263715;Farzaneh Maleki;A. Hajihosseini
通讯作者：
G. R. R. Lamooki-G.-R.-R.-Lamooki-3263715;Farzaneh Maleki;A. Hajihosseini
DOI：
10.1007/s11431-009-0181-6
发表时间：
2009-06
期刊：
Science in China Series E: Technological Sciences
影响因子：
--
作者：
Daren Yu;T. Cui;W. Bao
通讯作者：
Daren Yu;T. Cui;W. Bao
DOI：
10.2514/6.2014-2014
发表时间：
2014-06
期刊：
--
影响因子：
--
作者：
M. Mizoguchi;Y. Kajikawa;H. Itoh
通讯作者：
M. Mizoguchi;Y. Kajikawa;H. Itoh
超音速入口启动/停止的多稳定性和复杂路径
影响因子：
1.9
作者：
Tao Cui;Zhong Lv;Daren Yu
通讯作者：
Daren Yu
影响因子：
5.6
作者：
M. Robitaille;A. Mosahebi;E. Laurendeau
通讯作者：
M. Robitaille;A. Mosahebi;E. Laurendeau