| 修正后的N-S方程研究微流动的稳定性 |
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| 引用本文： | 郑湘君. 修正后的N-S方程研究微流动的稳定性[J]. 河北科技大学学报, 2005, 26(2): 93-95,123 |
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| 作者姓名： | 郑湘君 |
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| 作者单位： | 天津大学环境科学与工程学院,天津,300072 |
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| 摘 要： | 研究了克努森数不是特别大的微流动的稳定性,这种流动处于N-S方程适用的临界处。考虑到壁面对流体的作用力,修正流体的黏性系数,然后用修正后的N-S方程研究微流动的稳定性。类比于势能的幂函数衰减形式,本文也定义了一个黏性系数的幂次衰减模型并讨论了模型参数对稳定性的影响。用切比雪夫配置点法解模型中的微分方程,用QR法分析流动的稳定性。在所研究的流动尺度内,受壁面的影响,失稳雷诺数减小。从速度分布图上看,出现了拐点,这种拐点越明显,流动越容易失稳。
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| 关 键 词： | 微流动 稳定性 N-S方程 切比雪夫配置点法 |
| 文章编号： | 1008-1542(2005)02-0093-03 |
| 修稿时间： | 2004-11-16 |
Modified N-S equations to study the stability of micro-flow |
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| ZHENG Xiang-jun. Modified N-S equations to study the stability of micro-flow[J]. Journal of Hebei University of Science and Technology, 2005, 26(2): 93-95,123 |
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| Authors: | ZHENG Xiang-jun |
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| Affiliation: | School of Environmental Science and Engineering, Tianjin University, Tianjin 300072,China |
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| Abstract: | Modified N-S equations have been used to study the stability of microflow with a not-too-large Knudsen number. This paper presents a new model considering the wall actions to express the viscosity in microflow. Chebyshev collocation method and the QR matrix eigenvalue algorithm have been employed to solve the Orr-Sommerfeld equation. The effects of the parameters of the model on the flow stability were also studied. The flow becomes less stable with modified viscosity,and the probable reason is that there is inflexion in average flow. |
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| Keywords: | micro-flow stability N-S equations Chebyshev collocation methods |
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