点涡对圆柱绕流流场的影响研究  

Study on the Effect of Point Vortex on the Flow Field around a Cylinder

作　　者：张雪娇 刘官厅[1] ZHANG Xuejiao;LIU Guanting(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,呼和浩特010022

出　　处：《内蒙古大学学报（自然科学版）》2020年第6期600-607,共8页Journal of Inner Mongolia University：Natural Science Edition

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：研究点涡对无粘性不可压缩流体的圆柱绕流流场的影响。利用复变方法得到冲角为0时点涡存在于不同位置的圆柱绕流流场的复势函数,进而求得速度势函数和流函数。首次画出了存在点涡的圆柱绕流流场的流线图和压强系数图。根据流线图和压强系数图分析了圆柱表面和点涡附近的流体速度和压强分布情况。点涡对圆柱绕流流场的影响与点涡和圆柱之间的距离有关。压强系数图和流线图所反映的结果与实际流动情况完全吻合。Investigate the effect of point vortex on the flow field of non-viscous and incompressible fluid around a cylinder.Using the complex method to obtain the complex potential function of the flow field around a cylinder where the point vortex exists at different positions when the angle of attack is 0.And then we obtained velocity potential function and stream function.Streamline diagrams and pressure coefficient diagrams of the flow field around a cylinder with point vortex are drawn firstly.Based on the streamline diagrams and pressure coefficient diagrams,the fluid velocity and pressure near the cylinder surface and the point vortex are analyzed.The effect of the point vortex on the flow field around the cylinder is related to the distance between the point vortex and the cylinder.The results reflected by the pressure coefficient diagram and the streamline diagram are completely consistent with the actual flow situation.

关 键 词：圆柱绕流 点涡 复变方法 复势 速度势函数 流函数 

分 类 号：O351.3[理学—流体力学]