椭圆柱绕流的理论研究

现有的椭圆柱绕流理论给出了椭圆柱周边流场分布示意图,但流场分布图的数学分析计算过程并不完善,给进一步研究椭圆柱绕流问题增加了难度。首先利用保角变换的方法求得攻角为零时的椭圆柱绕流复势,然后利用复变函数理论将椭圆柱绕流复势分离,得到了椭圆柱绕流的势函数和流函数,随后利用MATLAB软件绘制出了流线和等势线分布图,进而基于求得的绕流势函数和流函数,应用理想流体力学相关理论,讨论了椭圆柱面的流体压力分布规律。

Theory of elliptical cylinder flow

The distribution figures of the flow field surrounding the elliptical cylinder had been given in the current fluid mechanics theory. However, theory analysis and calculation process are not perfect, and it increases the difficulty for further study of elliptical cylinder flow. Firstly, based on the comformal transformation theory, zero angle attack of elliptical cylinder flow complex potential expression is obtained. According to the complex function theory, the complex potential expression is separated, and the potential function and the stream function are reached. Then, distribution figures of the flow field is drawn by MATLAB software. Based on potential function, the stream function and ideal fluid mechanics theory, the distribution of fluid pressure on the ellipsoid is discussed.