• 流动与传递 •

### 超音速喷管内准一维气相流动建模与数值模拟

1. 浙江理工大学机械与自动控制学院，浙江 杭州 310018
• 收稿日期:2020-01-17 修回日期:2020-03-06 出版日期:2020-12-22 发布日期:2020-12-22
• 通讯作者: 章利特 langzichsh@zstu.edu.cn
• 基金资助:
浙江省自然基金一般项目;浙江理工大学科研业务费专项资助项目;国家重点研发计划“制造基础技术与关键部件”重点项目

### Modeling and numerical simulation of quasi-one dimensional gas phase flow in a supersonic nozzle

Lite ZHANG*, Qiuli YU, Bowen WU, Tiancheng LIU, Zilong FENG

1. School of Mechanical and Automatic Control, Zhejiang University of Science and Technology, Hangzhou, Zhejiang 310018, China
• Received:2020-01-17 Revised:2020-03-06 Online:2020-12-22 Published:2020-12-22
• Contact: Li-Te ZHANG langzichsh@zstu.edu.cn

Abstract: Mathematical modeling of the quasi-one dimensional gas phase flow in a nozzle, which accounted for wall friction and heat transfer, was established through theoretical analysis. Three flux vector splitting methods were used for the characteristic splitting of the aerodynamic equations. The variant form of them was discretized with a finite difference method. Specifically, the spatial and time derivatives were discretized with a fifth-order WENO scheme and a three-step third-order TVD Runge-Kutta method, respectively. The programming, calculations, validation and parameter study were performed based on the Fortran platform. The results showed that the numerical simulation agreed quite well with the experimental data if an appropriate friction correction factor was selected, which verified the availability of the established mathematical model and the adopted numerical methods and algorithms. It was found that as the half expansion angle of the nozzle was enlarged, both the gas velocity and the Mach number at the outlet increased, whereas the outlet static pressure decreased. The increase of the inlet total (or stagnation) temperature led to the significant increase of the outlet gas velocity and the decrease of the corresponding outlet Mach number due to the aggravation of wall friction and heat transfer. The increase of the inlet total (or stagnation) pressure cannot significantly increase the outlet gas velocity. The increase of the wall temperature led to the decrease of both the outlet gas velocity and the outlet Mach number.