| 旋流排气管的一维非定常流动研究 |
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| 引用本文： | 朱伟平,高大明.旋流排气管的一维非定常流动研究[J].华北电力大学学报,2005,32(6):25-28. |
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| 作者姓名： | 朱伟平 高大明 |
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| 作者单位： | 华北电力大学,能源与动力工程学院,河北,保定,071003;华北电力大学,能源与动力工程学院,河北,保定,071003 |
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| 基金项目： | 致谢：本文得到中科院工程热物理研究所的蔡睿贤院士和苟晨华博士的精心指导,特此感谢. |
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| 摘 要： | 在不考虑摩擦,且管道通流面不变时,针对旋流排气管的一维非定常流动数理模型中旋流动量矩方程的特殊性,采用一种新型含有可导函数的变形加法分离变量法,导出满足该方程新的代数显式解析解。该解含有任意可导函数,即有无限多个解。由此提出了求解一阶线性齐次偏微分方程的新算法,即含有可导函数的加法分离变量法。理论研究表明,由加法分离变量法所得的解为自变量的任意可导函数都可满足该类方程。
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| 关 键 词： | 分离变量法 旋流 非定常一维流 代数显式 解析解 |
| 文章编号： | 1007-2691(2005)06-0025-04 |
| 收稿时间： | 2005-03-12 |
| 修稿时间： | 2005年3月12日 |
Study on one-dimensional nonstationary flow of swirl flow exhaust pipe |
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| ZHU Wei-ping,GAO Da-ming.Study on one-dimensional nonstationary flow of swirl flow exhaust pipe[J].Journal of North China Electric Power University,2005,32(6):25-28. |
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| Authors: | ZHU Wei-ping GAO Da-ming |
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| Affiliation: | School of Energy and Power Engineering, North China Electric Power University, Baoding 071003, China |
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| Abstract: | Without considering the fraction and when the flow area doesn't change,according to the particularityof momentum equation of swirl flow in the mathematics and physics model,a new separation variables methodwith transform addition is suggested.The new analytic solution of algebraic explicit formulation is obtained.Itis found that this new solution contains has infinite solutions.A new algorithm for one order linear homogeneouspartial differential equation is proposed.Theoretical analysis proves that solutions obtained by this method meetequations of this kind. |
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| Keywords: | method of separation variables swirl flow nonstationary one-dimensional flow algebraic explicit formulation analytic solution |
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