熵方程在瞬态空气系统流动方向判断中的应用

丁水汀; 车巍巍; 刘传凯

doi:10.13224/j.cnki.jasp.2017.10.001

熵方程在瞬态空气系统流动方向判断中的应用

doi: 10.13224/j.cnki.jasp.2017.10.001

1.
北京航空航天大学能源与动力工程学院北京市航空器/发动机复杂系统安全性重点实验室,北京 100191；先进航空发动机协同创新中心,北京 100191；北京航空航天大学能源与动力工程学院,北京 100191
2.
北京航空航天大学能源与动力工程学院,北京 100191
3.
北京航空航天大学交通科学与工程学院,北京 100191

基金项目: 教育部长江学者创新团队“航空发动机复杂系统安全性”（IRT0905）

计量
- 文章访问数: 638
- HTML浏览量: 2
- PDF量: 501
- 被引次数: 0
出版历程
- 收稿日期: 2016-03-30
- 刊出日期: 2017-10-28

Application of entropy equation in the judgement of flow direction in transient air system

摘要

摘要: 将非平衡态的熵方程应用于空气系统的求解中,推导了管道元件和节流元件内的熵产变化率的表达式,并通过熵产的非负性来判断流体的流动方向。结合模块化的建模思想,建立了瞬态空气系统流体网络法仿真程序。使用Shock-tube 模型与双腔模型进行验证。仿真结果与实验结果基本吻合，表明利用非平衡态的熵产能够准确判断瞬态空气系统中的流动方向，克服了总压判断的局限性，加速了空气系统的收敛。
- 空气系统 /
- 流动方向 /
- 熵方程 /
- 瞬态 /
- 非负性
Abstract: The entropy equation of the nonequilibrium state was applied to the solution of air system. An expression of the change rate of entropy production in the pipe element and throttle element were derived. And the flow direction of the fluid was judged by the nonnegativity of the entropy production. Combined with the think of modular modeling, the fluid network simulation program of the transient air system was established. The Shock tube model and double cavity model were used to verify the algorithm accuracy. The simulation results are in good agreement with the experimental results, which show that the nonequilibrium entropy production can accurately determine the flow direction in the transient air system, overcome the limitation of the total pressure judgment and accelerate the convergence of the air system.
- air system /
- flow direction /
- entropy equation /
- transient /
- nonnegativity

HTML

参考文献(19)

[1]	KUTZ K J,SPEER T M.Simulation of the secondary air system of aero engines［J］.Journal of Turbomachinery,1994,116(2):306-315.
[2]	MAJUMDAR A K,BAILEY J W,SCHALLHORN P,et al.A generalized fluid system simulation program to model flow distribution in fluid networks［R］.AIAA 98-3682,1998.
[3]	吕亚国,刘振侠,黄生勤.航空发动机内流空气系统通用分析软件开发［C］∥全国博士生学术论坛.北京:计算机仿真出版社,2009:99-103.
[4]	吴丁毅.内流系统的网络计算法［J］.航空学报,1996,17(6):653-657. WU Dingyi.Network technique of internal system［J］.Acta Aeronautica et Astronautica Sinica,1996,17(6):653-657.(in Chinese)
[5]	倪维斗,苟建兵,孙炘.热动力系统流体网络及算法处理［J］.系统仿真学报,1997,9(3):78-83. NI Weidou,GOU Jianbing,SUN Xin.Research on fluid network in thermal power system［J］.Journal System Simulation,1997,9(3):78-83.(in Chinese)
[6]	CHEW J W,HILLS N J.Computational fluid dynamics for turbomachinery internal air systems［J］.Physical and Engineering Sciences,2007,365(1859):2587-2611.
[7]	HILLS N J,CHEW J W.Computational and mathematical modelling of turbine rim seal ingestion［R］.ASME Paper 2001-GT-204,2001.
[8]	侯升平,陶智,韩树军,等.非稳态流体网络方法在发动机空气冷却系统中的应用［J］.航空动力学报,2009,24(3):494-498. OU Shengping,TAO Zhi,HAN Shujun,et al.Study on application of unsteady fluid network to the air system in engine［J］.Journal of Aerospace Power,2009,24(3):494-498.(in Chinese)
[9]	陶智,侯升平,韩树军,等.流体网络法在发动机空气冷却系统设计中的应用［J］.航空动力学报,2009,24(1):1-6. TAO Zhi,HOU Shengping,HAN Shujun,et al.Study on application of fluid network to the design of air system in engine［J］.Journal of Aerospace Power,2009,24(1):1-6.(in Chinese)
[10]	侯升平,陶智,韩树军,等.非稳态流体网络模拟新方法及其应用［J］.航空动力学报,2009,24(6):1253-1257. HOU Shengping,TAO Zhi,HAN Shujun,et al.New simulation approach to the unsteady fluid network and the application［J］.Journal of Aerospace Power,2009,24(6):1253-1257.(in Chinese)
[11]	CALCAGNI C,GALLAR L.Development of a onedimensional dynamic gas turbine secondary air system model:Part Ⅰ tool components development and validation［C］∥Proceeding of ASME Turbo Expo 2009:Power for Land Sea and Air.New York:ASME,2009:457-465.
[12]	CALCAGNI C,GALLAR L.Development of a onedimensional dynamic gas turbine secondary air system model:Part Ⅱ assembly and validation of a complete network［C］∥Proceedings of ASME Turbo Expo 2009:Power for Land,Sea and Air.New York:ASME,2009:435-443.
[13]	GALLAR L,CALCAGNI C.Time accurate modeling of the secondary air system response to rapid transients［J］.Journal of Aerospace Engineering,2011,225(8)：946-958.
[14]	刘传凯,刘海明,李艳茹,等.强瞬变空气系统的模块化仿真建模［J］.航空动力学报,2015,30(8):1826-1833. LIU Chuankai,LIU Haiming,LI Yanru,et al.Modularized simulation of air system with fast transient［J］.Journal of Aerospace Power,2015,30(8):1826-1833.(in Chinese)
[15]	沈维道,童钧耕.工程热力学［M］.北京：高等教育出版社,2007.
[16]	沈雅钧.熵方程在“工程热力学”课程教学中的应用［J］.浙江水产学院学报,1997,16(4):310-315. SHEN Yajun.The application of the entropy equation in teaching of “engineering thermodynamics” course［J］.Journal of Zhejiang College Fisheries,1997,16(4):310-315.(in Chinese)
[17]	DEGROOT S R,MAZUR P.非平衡态热力学［M］.陆全康,译.上海:科学技术出版社,1981.
[18]	KREUZER H J.Nonequilibrium thermodynamics and its statistical foundations［M］.Oxford,UK：Clarendon Press,1981:455.
[19]	华厚玉.对局域平衡态使用Gibbs公式的讨论［J］.淮北煤师院学报,1985,11(1):67-71. HUA Houyu.Discussion on the local equilibrium state using Gibbs formula［J］.Huaibei Coal Teachers College,1985,11(1):67-71.(in Chinese)