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Received: 2023-12-19

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Gang WANG

https://orcid.org/0000-0002-0452-7286

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Journal of Zhejiang University SCIENCE A

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Numerical simulation of 3D supersonic asymmetric truncated nozzle based on k-kL algebraic stress model


Author(s):  Gang WANG, Shuai ZHANG, Jifa ZHANG, Yao ZHENG

Affiliation(s):  School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):  jfzhang@zju.edu.cn

Key Words:  Supersonic nozzle; Turbulence model; Numerical simulation; Performance analysis


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Gang WANG, Shuai ZHANG, Jifa ZHANG, Yao ZHENG. Numerical simulation of 3D supersonic asymmetric truncated nozzle based on k-kL algebraic stress model[J]. Journal of Zhejiang University Science A,in press.Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/jzus.A2300641

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%T Numerical simulation of 3D supersonic asymmetric truncated nozzle based on k-kL algebraic stress model
%A Gang WANG
%A Shuai ZHANG
%A Jifa ZHANG
%A Yao ZHENG
%J Journal of Zhejiang University SCIENCE A
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doi="https://doi.org/10.1631/jzus.A2300641"


Abstract: 
The nozzle is a critical component responsible for generating most of the net thrust in a scramjet engine. The quality of its design directly affects the performance of the entire propulsion system. However, most turbulence models struggle to make accurate predictions for subsonic and supersonic flows in nozzles. In this study, we explored a novel model, the algebraic stress model k-kL-ARSM+J, to enhance the accuracy of turbulence numerical simulations. This new model was used to conduct numerical simulations of the design and off-design performance of a 3D supersonic asymmetric truncated nozzle designed in our laboratory, with the aim of providing a realistic pattern of changes. The research indicates that, compared to linear eddy viscosity turbulence models such as k-kL and shear stress transport (SST), the k-kL-ARSM+J algebraic stress model shows better accuracy in predicting the performance of supersonic nozzles. Its predictions were identical to the experimental values, enabling precise calculations of the nozzle. The performance trends of the nozzle are as follows: as the inlet Mach number increases, both thrust and pitching moment increase, but the rate of increase slows down. Lift peaks near the design Mach number and then rapidly decreases. With increasing inlet pressure, the nozzle thrust, lift, and pitching moment all show linear growth. As the flight altitude rises, the internal flow field within the nozzle remains relatively consistent due to the same supersonic nozzle inlet flow conditions. However, external to the nozzle, the change in external flow pressure results in the nozzle exit transitioning from over-expanded to under-expanded, leading to a shear layer behind the nozzle that initially converges towards the nozzle center and then diverges.

基于k-kL代数应力模型的三维截断偏置超声速尾喷管数值模拟

作者:王刚,张帅,张继发,郑耀
机构:浙江大学,航空航天学院,中国杭州,310027
目的:大多数湍流模型都难以对尾喷管中的亚/超声速流动做出准确预测。本文旨在探索一种新的湍流模型-代数应力模型k-kL-ARSM+J,以提高湍流数值模拟的精度,并采用该高精度模型对三维截短偏置超声速尾喷管进行非设计工况下的数值计算,以获得其变化规律。
创新点:1.基于已有的计算流体动力学(CFD)程序,发展集成了新型代数应力模型k-kL-ARSM+J;2.获得了所设计的三维截短偏置超声速尾喷管非设计工况下的影响规律。
方法:1.采用NASA标准算例,对所实现的代数应力模型k-kL-ARSM+J进行模型验证,确保其正确性和有效性(图2~6);2.将设计工况下尾喷管的计算值与设计值进行对比,验证湍流模型在该尾喷管数值计算的正确性和有效性(图11);3.通过改变入口马赫数、入口压力和飞行高度等工况,获得该尾喷管非设计工况下的性能变化规律(图12~23)。
结论:1.根据NASA标准测试算例表明,k-kL-ARSM+J代数应力模型能够精确模拟超声速喷管,且与实验值吻合,验证了该湍流模型的正确性和有效性。2.随着入口马赫数的增加,推力和俯仰力矩增加,增长速率逐渐减小,且升力在设计马赫数附近达到峰值,然后迅速减小;随着入口压力的增加,喷管推力、升力和俯仰力矩均呈线性增长。3.随着飞行高度的增加,由于相同的超声速喷管入口条件,喷管的内部流场基本保持不变;然而,喷管外部的压力变化导致喷管出口从过膨胀过渡到欠膨胀;因此,喷管后的剪切层首先朝向喷管中心汇聚,然后发散。

关键词组:超声速喷管;湍流模型;数值模拟;性能分析

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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