In this article, axisymmetric solutions of the Navier–Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types of boundary conditions are identified; one in which the radial velocity along the axis is prescribed, and the other in which the radial velocity along the axis is obtained as an eigenvalue of the problem. The existence of these solutions is limited to a range of Reynolds numbers, and the transition from one case to the other is discussed in detail.

中文翻译：

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关于圆锥面约束的半线源引起的粘性流动的一个注记

在本文中，讨论了当流体域被圆锥形壁界定时，控制半线源引起的流动的Navier–Stokes方程的轴对称解。确定了两种边界条件：一种是规定沿轴的径向速度，另一种是沿轴的径向速度作为问题的特征值。这些解决方案的存在仅限于雷诺数范围，并详细讨论了从一种情况到另一种情况的过渡。