A modification of Hiemenz's two‐dimensional outer potential stagnation‐point flow of strain rate a is obtained by adding periodic radial and azimuthal velocities of the form $br\sin 2\theta$ and $br\cos 2\theta$, respectively, where b is a shear rate. This leads to the discovery of a new family of three‐dimensional viscous stagnation‐point flows depending on the shear‐to‐strain‐rate ratio $\gamma =b/a$ that exist over the range $-\infty <\gamma <\infty$ with reflectional symmetry about $\gamma =0$. Numerical solutions for the wall shear stress parameters and the displacement thicknesses are given and compared with their large‐γ asymptotic behaviors. Sample similarity velocity profiles are also presented. It is noted that the results presented here are in many ways similar to the results reported for non‐axisymmetric Homann stagnation‐point flow.

中文翻译：

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三维Hiemenz驻点流

通过添加以下形式的周期性径向和方位速度，可以得到应变率a的Hiemenz二维外部势停滞点流的修正形式$b\mathrm{[R}罪2\theta$ 和 $b\mathrm{[R}\cos 2\theta$，其中b是剪切速率。这导致了一个新的三维粘滞滞止点流新家族，它取决于剪切应变率比$\gamma =b/\mathrm{一个}$ 范围内存在的 $-\infty <\gamma <\infty$ 关于反射对称 $\gamma =0$。给出了墙体剪应力参数和位移厚度的数值解，并与它们的大γ渐近行为进行了比较。还显示了样本相似速度曲线。值得注意的是，此处呈现的结果在许多方面与非轴对称Homann驻点流的报告结果相似。