急流冲击波波角的显式解  

Explicit solution to wave angle of shock wave in supercritical flow

作　　者：宁利中[1] 王永起[1] 宁碧波[2] 田伟利[3] 胡彪[1] 

机构地区：[1]西安理工大学西北旱区生态水利工程国家重点实验室培育基地,陕西西安710048 [2]嘉兴学院建筑工程学院,浙江嘉兴314001 [3]上海大学美术学院,上海200444

出　　处：《西安理工大学学报》2016年第4期388-391,共4页Journal of Xi'an University of Technology

基　　金：国家自然科学基金资助项目(10872164);陕西省重点学科建设专项资金资助项目(00X901)

摘　　要：急流冲击波的水力计算是高速水力学中的一个重要问题。本文在伊本急流冲击波理论基础上,通过分析,将函数的级数展开近似表达式引入到伊本急流冲击波理论的基本关系式中,从而得到了急流冲击波波角的显式解。并将计算的急流冲击波波角显式解和相应的水深比与其对应的精确解和实验值进行验证比较,证明了急流冲击波波角的显式解有着足够的精度。急流冲击波波角的显式解使计算简化,精度提高,可应用于实际工程。Hydraulic calculation of shock wave in supercritical flow is one of the important aspects in high speed hydraulics.Based on Ippen＇s theory of shock wave in this paper,an explicit solution to wave angle of shock wave in supercritical flow is obtained by applying the analysis of series expansion to Ippen＇s theory.It is sufficient to compare the explicit solutions to wave angle of shock wave in supercritical flow and water depth ratio with theoretical solutions and with experimental data,proving the accuracy of the explicit solutions to wave angle.The explicit solutions to wave angle of shock wave in supercritical flow have simplified the computation procedure and have improved the computation accuracy and can be used in solving the engineering computing.

关 键 词：显式解 伊本理论 急流冲击波 波角 水深比 

分 类 号：TV135.2[水利工程—水力学及河流动力学]