点汇对圆柱绕流流场的影响研究  

Study on the Influence of Point Sinks on the Flow Field Around a Cylinder

作　　者：张雪娇 刘官厅[1] ZHANG Xue-jiao;LIU Guan-ting(College of Mathematics Science,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：《数学的实践与认识》2020年第21期269-277,共9页Mathematics in Practice and Theory

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

摘　　要：首次利用复变方法得到了存在点汇的无粘性不可压缩流体的圆柱绕流流场的复势函数,进一步得到了流场中存在点汇的圆柱绕流问题的势函数和流函数.在本文中我们画出了流动冲角为π/4时的流线图、等势线图和压强系数图,以此分析了流场中特殊点处的速度和压强分布以及点汇对圆柱绕流流场的影响.流线图反映的结果和压强系数图反映的结果可以很好地呼应.In this paper,for the first time,the complex variable method is used to obtain the complex potential function of the flow field around the cylinder of non-viscous and incompressible fluid with a point sink,and the potential function and Stream function of the flow around the cylinder with a point sink in the flow field are obtained.In this paper,we draw a streamline diagram,an equipotential line diagram and a pressure coefficient diagram when the angle of attack is π/4,in order to analyze the velocity and pressure distribution at specific points in the flow field and the influence of a point sink on the flow around the cylinder.The results reflected by the streamline diagram and the results reflected by the pressure coefficient diagram can be well echoed.

关 键 词：圆柱绕流 点汇 复变方法 势函数 流函数 

分 类 号：O357.5[理学—流体力学]