| 广义Maxwell速度滑移边界模型 |
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| 引用本文： | 张海军,祝长生,杨琴,钟志贤.广义Maxwell速度滑移边界模型[J].中国科学(G辑),2013(5):662-669. |
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| 作者姓名： | 张海军 祝长生 杨琴 钟志贤 |
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| 作者单位： | [1]嘉兴学院机电工程学院,嘉兴314001 [2]浙江大学电气工程学院,杭州310027 [3]嘉兴学院数理与信息工程学院,嘉兴314001 |
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| 基金项目： | 国家自然科学基金（批准号：11102071,10472101）和教育部博士点基金（编号：20070335184）资助项目 |
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| 摘 要： | 针对存在挤压速度情形的近连续滑移流区微轴承内气体流动,基于气固界面Knudsen层内动量和能量通量的守恒,利用Grad13矩近似的速度分布函数,详细推导广义Maxwell速度滑移边界模型,给出了其与典型Maxwell速度滑移边界的差别.研究表明在不考虑壁面温度梯度和挤压速度影响时,所得到的广义Maxwell速度滑移边界模型与典型Maxwell速度滑移模型是一致的;通过在微尺度气体轴承流动控制方程应用,获得一套适于气体轴承内流动气固表面速度滑移边界数学模型.
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| 关 键 词： | 速度滑移边界 挤压速度 Knudsen层 Grad13矩 |
Generalized maxwell velocity slip boundary model |
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| Authors: | ZHANG HalJun ZHU ChangSheng YANG Qin ＆ ZHONG ZhiXian |
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| Institution: | College of Mechanical-Electrical Engineering, Jiaxing University, Jiaxing 314001, China ; 2 College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China; 3 College of Mathematics Physics and Information Engineering, Jiaxing University, Jiaxing 314001, China |
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| Abstract: | For the gas flow of micro gas bearings in the near continuum and slip flow region where the squeezing velocity exists, a generalized Maxwell velocity slip boundary model is derived in detail using the velocity distribution function from the Grad thirteen moment approximation based on the conservation of momentum and energy fluxes in the Knudsen layer. The research shows that the generalized Maxwell velocity slip boundary model is consistent with the typical Maxwell velocity slip model when the temperature gradient along the surface and the squeezing velocity of gas flow are neglected. By applying the model in the control equation for micro gas journal bearings, the mathematical model for the gas-solid surface slip velocity boundary in the micro gas journal bearings has been obtained. |
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| Keywords: | velocity slip boundary squeezing velocity Knudsen layer Grad thirteen moment |
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