摘要
对无穷远处来流的无粘性不可压缩流体,平行绕过半无限平面边界障碍物时,障碍物附近的流动情况进行研究。利用Schwarz-Christoffel变换和复变函数理论,得到半无限平面边界障碍物绕流的复势函数,进一步求解半无限平面边界障碍物绕流的速度势函数和流函数。通过数值算例,得到半无限平面边界障碍物绕流的流线图、等势线和压强系数图,分析障碍物表面流体的速度和压强分布情况。
This paper studies the flow condition near the obstacles when an inviscid and incompressible fluid coming in from infinity flows parallel around the obstacle on the semi-infinite plane boundary.By adopting the Schwarz-Christoffel transformation and the theory of functions of complex variables,the complex potential function for the detour flow around the obstacle on the semi-infinite plane boundary is derived.Furthermore,the velocity potential function and stream function for this detour flow problem are solved.By conducting numerical examples,the streamline chart,equipotential line,and pressure coefficient diagrams of the detour flow around the obstacles on the semi-infinite plane boundary are obtained,with the fluid velocity and pressure distribution on the obstacle surface analyzed.
作者
李娜
刘官厅
LI Na;LIU Guanting(College of Mathematics Science,Inner Mongolia Normal University,Hohhot 010022,China)
出处
《内蒙古师范大学学报(自然科学版)》
2025年第5期506-513,共8页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目“压电准晶材料弹塑性断裂力学模型及广义复变方法研究”(12162027)
内蒙古自治区自然科学基金重点资助项目“稀土准晶材料的弹性理论及多尺度断裂力学问题研究”(2024ZD21)
内蒙古师范大学基本科研业务费资助项目“多场耦合智能材料断裂力学问题研究”(2023JBZD005)。
