An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle

doi:10.1007/s10483-018-2294-6

Applied Mathematics and Mechanics (English Edition) ›› 2018, Vol. 39 ›› Issue (2): 193-206.doi: https://doi.org/10.1007/s10483-018-2294-6

An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle

Guangyu LI, Xiaowei LI, Jue DING, Peifen WENG, Zhanbin LU

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2017-03-11 修回日期:2017-06-19 出版日期:2018-02-01 发布日期:2018-02-01
通讯作者: Xiaowei LI E-mail:xwli@staff.shu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (No. 11472167)

An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle

Guangyu LI, Xiaowei LI, Jue DING, Peifen WENG, Zhanbin LU

Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2017-03-11 Revised:2017-06-19 Online:2018-02-01 Published:2018-02-01
Contact: Xiaowei LI E-mail:xwli@staff.shu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11472167)

摘要/Abstract

摘要： An improved constant volume cycle (CVC) model is developed to analyze the nozzle effects on the thrust and specific impulse of pulse detonation rocket engine (PDRE). Theoretically, this model shows that the thrust coefficient/specific impulse of PDRE is a function of the nozzle contraction/expansion ratio and the operating frequency. The relationship between the nozzle contraction ratio and the operation frequency is obtained by introducing the duty ratio, by which the key problem in the theoretical design can be solved. Therefore, the performance of PDRE can be accessed to guide the preliminary shape design of nozzle conveniently and quickly. The higher the operating frequency of PDRE is, the smaller the nozzle contraction ratio should be. Besides, the lower the ambient pressure is, the larger the expansion ratio of the nozzle should be. When the ambient pressure is 1.013×10⁵ Pa, the optimal expansion ratio will be less than 2.26. When the ambient pressure is reduced to vacuum, the extremum of the optimal thrust coefficient is 2.236 9, and the extremum of the specific impulse is 321.01 s. The results of the improved model are verified by numerical simulation.

关键词: modelling, thermodynamics, pseudoelasticity, phase transition, hysteresis, memory alloy, pulse detonation rocket engine (PDRE), nozzle, constant volume cycle (CVC) model, thrust, specific impulse

Abstract: An improved constant volume cycle (CVC) model is developed to analyze the nozzle effects on the thrust and specific impulse of pulse detonation rocket engine (PDRE). Theoretically, this model shows that the thrust coefficient/specific impulse of PDRE is a function of the nozzle contraction/expansion ratio and the operating frequency. The relationship between the nozzle contraction ratio and the operation frequency is obtained by introducing the duty ratio, by which the key problem in the theoretical design can be solved. Therefore, the performance of PDRE can be accessed to guide the preliminary shape design of nozzle conveniently and quickly. The higher the operating frequency of PDRE is, the smaller the nozzle contraction ratio should be. Besides, the lower the ambient pressure is, the larger the expansion ratio of the nozzle should be. When the ambient pressure is 1.013×10⁵ Pa, the optimal expansion ratio will be less than 2.26. When the ambient pressure is reduced to vacuum, the extremum of the optimal thrust coefficient is 2.236 9, and the extremum of the specific impulse is 321.01 s. The results of the improved model are verified by numerical simulation.

Key words: modelling, thermodynamics, pseudoelasticity, phase transition, hysteresis, memory alloy, constant volume cycle (CVC) model, thrust, pulse detonation rocket engine (PDRE), specific impulse, nozzle

中图分类号:

34K45

Guangyu LI, Xiaowei LI, Jue DING, Peifen WENG, Zhanbin LU. An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle[J]. Applied Mathematics and Mechanics (English Edition), 2018, 39(2): 193-206.

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An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle

An improved constant volume cycle model for performance analysis and shape design of PDRE nozzle

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