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A new approximation for a general shear inviscid flow past a circle

机译:绕圆的一般剪切无粘性流的新近似值

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This paper deals with 2D, inviscid, incompressible and rotational flows perturbed by a circle and Joukowski profiles. A new approximation of the streamfunction corresponding to a perturbed parabolic velocity profile is given and compared with Nagamatsu approximated solution. Our solution is better in the sense that the rotational is kept zero on the body since it is zero on the streamline coming from the infinity and leading to the front stagnation point; it is nevertheless an approximation because the vortex is not conserved on other 'streamlines' except at infinity. The concept of generalised complex velocity potential, is given.
机译:本文研究由圆和Joukowski轮廓扰动的2D,无粘性,不可压缩和旋转流动。给出了与扰动的抛物线速度曲线相对应的流函数的新近似值,并将其与长松近似解进行了比较。我们的解决方案在以下方面更好:在车身上将旋转保持为零,因为在从无穷大处延伸到前停滞点的流线中,旋转为零。但是,这是一个近似值,因为涡旋在无穷大处不会在其他“流线”上守恒。给出了广义复速度势的概念。

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