基于反问题设计方法的叶栅激波损失控制

推进技术 ›› 2014, Vol. 35 ›› Issue (6): 766-773.

基于反问题设计方法的叶栅激波损失控制

刘昭威 ,吴虎,唐晓毅

西北工业大学动力与能源学院，陕西西安 710072;西北工业大学动力与能源学院，陕西西安 710072;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:刘昭威(1986—)，男，博士生，研究领域为叶轮机械气动热力学。E-mail:rainbow_force2@163.com
基金资助:
国家自然科学基金资助项目(51076131) 。

Shock Wave Loss Control of Cascades Using Inverse Method

School of Power and Energy，Northwestern Polytechnical University，Xi ’ an 710072，China;School of Power and Energy，Northwestern Polytechnical University，Xi ’ an 710072，China;School of Power and Energy，Northwestern Polytechnical University，Xi ’ an 710072，China

Published:2021-08-15

摘要/Abstract

摘要： 为了降低跨声速叶栅通道中的激波损失，提高叶栅出口的总压恢复系数，以二维粘性反问题设计方法理论为基础，发展了二维叶栅反问题设计方法，通过调整叶片表面沿轴向的载荷分布，在保持叶片总载荷不变的同时，达到降低叶栅槽道中的激波强度，减少激波损失的目的。为验证方法的正确性，首先运用德国宇航中心L030-4叶栅实验数据与计算结果进行对比，在此基础上对叶片载荷进行分析，并提出了一种叶片表面载荷分布参数化方法，运用该方法修改叶片表面载荷分布后通过反问题设计方法得到新的叶型。结果表明，通过修改叶片表面载荷分布，运用二维反问题设计方法得到的新叶型激波强度明显降低，叶栅出口总压恢复系数以及马赫数较原型均有增加，叶栅气动性能明显提高。

关键词: 反问题设计方法；激波损失控制；载荷分布；渗透边界条件

Abstract: In order to reduce the shock wave loss of transonic cascade，and improve the total pressure recovery coefficient，a cascade design program was developed based on the two dimensional viscous inverse design method theories. The strength of shock wave was reduced by adjusting the pressure load distribution of blade surface and keeping blade total load unchanged. The DFVLR L030-4 cascade experiment data was used to validate the calculation results. Then，a new blade profile was designed by using the modified load distribution of L030-4 based on the inverse design program. A blade surface load parameterization method was also developed to modify the load distribution. The numerical research shows better performance of cascade is achieved in terms of cascade outlet Mach number，total pressure loss and shock wave loss，which demonstrates the effectiveness of this method.

Key words: Inverse method；Shock wave loss control；Load distribution；Permeable boundary condition

刘昭威,吴虎,唐晓毅. 基于反问题设计方法的叶栅激波损失控制[J]. 推进技术, 2014, 35(6): 766-773.

LIU Zhao-wei ,WU Hu ,TANG Xiao-yi. Shock Wave Loss Control of Cascades Using Inverse Method[J]. Journal of Propulsion Technology, 2014, 35(6): 766-773.

参考文献

[1] Beatty T D， Narramore J C. Inverse Method for the Design of Multi-Element High-Lift Systems [J]. Journal of Aircraft ， 1976， 13(6): 393-398.
[2] Dang T. Inverse Method for Turbomachine Blades Using Shock-Capturing Techniques [R]. AIAA 95-2465.
[3] Benjamin M F Choo， Mehrdad Zangeneh. Development of an Adaptive Unstructured 2-D Inverse Design Method for Turbomachinery Blades [R]. ASME 2002- GT -30620.
[4] Victor I Mileshin， Andrew N Startsev， Igor K Orekhov， et al. 3D Inverse Design of Transonic Fan Rotors Efficient for a Wide Range of RPM [R]. ASME 2007- GT -27817.
[5] Rooij M van， Dang T， Larosiliere L. Enhanced Blade Row Matching Capabilities via 3D Multistage Inverse Design and Pressure Loading Manager [R]. ASME 2008- GT -50539.
[6] 陈池，刘高联. 基于变域变分有限元的翼型反设计[J]. 空气动力学学报， 2004， 22(4): 443-446.
[7] 南向谊，刘波，王掩刚. 考虑攻角、落后角的反方法叶型设计优化技术[J]. 机械设计与制造， 2005， (10): 27-29.
[8] 陈乃兴，陈俊杰. 单转子风扇的三维反问题气动设计[J]. 航空动力学报， 2002， 17(1): 23-28.
[9] 王正明. 正反问题数值解法相结合三维叶片的优化设计 [J]. 工程热物理学报， 2000， 21(5): 567-569.
[10] Jameson A， Schmidt W， Turkel E. Numerical Solutions of the Euler Equations by Finite Volume Methods Using Runge-Kutta Time-Stepping Schemes[R]. AIAA 81-125.
[11] Dang T， Isgro V. Euler-Based Inverse Method for Turbomachine Blades Part1: Two-Dimensional Cascades[J]. AIAA Journal ， 1995， 33(12): 2309-2315.
[12] Denton J D. The Calculation of Three Dimensional Viscous Flow Through Multistage Turbomachines[J]. Journal of turbomachinery ， 1992， 114(1): 18-26.
[13] Schreiber H A， Starken H. Experimental Cascade Analysis of a Transonic Compressor Rotor Blade Section[R]. ASME 83- GT -209.
[14] Nerurkar A， Dang T. Design Study of Turbomachine Blades by Optimization and Inverse Techniques[R]. AIAA 96-2555.
[15] Dang T， Damle S. Euler-Based Inverse Method for Turbomachine Blades， Part2: Three-Dimensional Cascades[J]. AIAA Journal ， 2000， 38(11): 2007-2013.