基于渗透边界条件的叶轮机械气动设计反方法:解的存在性和唯一性探讨

推进技术 ›› 2015, Vol. 36 ›› Issue (4): 579-586.

基于渗透边界条件的叶轮机械气动设计反方法:解的存在性和唯一性探讨

杨金广¹,刘振德^1,2,邵伏永¹,吴虎³

北京动力机械研究所，北京 100074,北京动力机械研究所，北京 100074;北京动力机械研究所激光推进及其应用国家重点实验室，北京 100074,北京动力机械研究所，北京 100074,西北工业大学动力与能源学院，陕西西安 710072

发布日期:2021-08-15
作者简介:杨金广( 1981—)，男，博士，研究领域为叶轮器械气动热力学。
基金资助:
国家自然科学基金( 51076131)。

TranspirationBoundaryConditionBasedonInverseMethodfor TurbomachineryAerodynamicDesign:on theSolutionExistenceandUniqueness

Beijing Power Machinery Institute，Beijing 100074，China,Beijing Power Machinery Institute，Beijing 100074，China;State Key Laboratory of Laser Propulsion and Application，Beijing Power Machinery Institute，Beijing 100074，China,Beijing Power Machinery Institute，Beijing 100074，China and School of Power and Energy，Northwestern Polytechnical University，Xi’an 710072，China

Published:2021-08-15

摘要/Abstract

摘要： 通过集总参数分析，发现确定了反方法的定解条件——总切向力与出口气流角的关系。进而表明在多数情况下，反方法有两个物理解存在，而最终收敛到哪个解由渗透边界条件与定解条件的相容性决定。为了保证基于渗透边界条件的反方法收敛到期望解，文中基于质量流量强加的概念提出了一种处理措施，并通过例子验证了该措施的有效性。最后利用所发展的准三维反方法对跨声速压气机叶栅进行改型设计，效率增加了1.4%，展现了反方法在控制轴向载荷分布方面的优越性。

关键词: 叶轮机械；气动设计；反方法；总切向力；渗透边界条件

Abstract: By a lumped parameters analysis，it is found that the solution determination condition of the in. verse method can be expressed by function between outlet flow angle and total tangential force，and in most case there are two physical solutions. The converged solution is determined by the consistence of the transpirationboundary condition and the solution determination condition. A technique is developed to force the solution con.verged to a desired solution. The developed Q3D design system is validated by a transonic compressor cascades case，and a 1.4% efficiency gain is obtained，which demonstrate the power of the inverse method to control the axi. al distribution of the pressure loading.

Key words: Turbomachinery；Aerodynamic design；Inverse method；Total tangential force；Transpirationboundary condition

杨金广,刘振德,邵伏永,吴虎. 基于渗透边界条件的叶轮机械气动设计反方法:解的存在性和唯一性探讨[J]. 推进技术, 2015, 36(4): 579-586.

YANG Jin-Guang¹,LIU Zhen-De^1,2,SHAO Fu-Yong¹,WU Hu³. TranspirationBoundaryConditionBasedonInverseMethodfor TurbomachineryAerodynamicDesign:on theSolutionExistenceandUniqueness[J]. Journal of Propulsion Technology, 2015, 36(4): 579-586.

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