椭圆柱绕流的相关问题研究  

Study on the Related Problems of the Flow Around Elliptic Cylinder

作　　者：张雪娇 刘官厅[1] ZHANG Xue-jiao;LIU Guan-ting(Mathematics Science College,Inner Mongolia Normal University,Hohhot 010022,China)

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学版）》2021年第1期15-24,共10页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家重点研发计划资助项目(2017YFC1405605);内蒙古自治区自然科学基金资助项目(2018MS01005);自然资源部海洋遥测技术创新中心创新青年基金资助项目(21k20190088);内蒙古师范大学研究生科研创新基金资助项目(CXJJS19098)。

摘　　要：研究无粘性不可压缩流体绕过椭圆柱时在椭圆柱附近的流动情况。利用儒可夫斯基变换根据复变方法得到45°冲角下椭圆柱绕流的复势函数;给出45°冲角下椭圆柱绕流的速度势函数和流函数并画出45°冲角下的流线图和压强系数图。根据流线图、压强系数图分析了椭圆柱表面的速度和压强分布情况。当椭圆的尺度参数取极限值时,所得结果可以退化为平板绕流的情形。The complex variation method was used to study the flow of non-viscous incompressible fluid around an elliptical cylinder by the Joukowski transform in the paper.We obtained the complex potential function of the flow around an elliptical cylinder under attack angle of 45°,which gave out the potential function and stream function of it and drew the streamline diagram,equipotential lines diagram and pressure coefficient diagram at 45°attack angle of 45°firstly,through the method.Based on the streamline diagram and pressure coefficient diagram,the speed and pressure distribution on the surface of an elliptic cylinder was analyzed.The analysis revealed that the streamline diagram,equipotential lines diagram,and pressure coefficient diagram reduced to flow around a flat plate of a non-zero angle of attack when the scale parameter of the ellipse was approached to the limit.

关 键 词：椭圆柱绕流 势函数 流函数 复变方法 

分 类 号：O351.3[理学—流体力学]