Problems concerning irrotational flows past obstacles may have physical applications in magneto- and electrostatics, as well as in the description of hydrodynamical flows of incompressible fluids. It is shown that for a magnetic field flow (or a flow of incompressible fluid in the hydrodynamical case) around an ideally conducting (impermeable) screen of width D with a narrow slot of width Δ a substantial flux passes trough the slot, so that, for example, a magnetic field (the velocity in the hydrodynamical problem) averaged over a slot with the width Δ = 0.01 D will be 26 times greater than its far upstream value. The hydrodynamical problem is also formulated for an axisymmetric case for a circular screen and orifice. In this case, if the orifice is small enough, the flux of fluid proves to be proportional to the orifice diameter Δ, whereas fluid speed in the orifice increases as 1/Δ if Δ is decreased, i.e., even faster than in plane geometry.

有关无旋流越过障碍物的问题可能在磁学和静电学以及不可压缩流体的流体动力流动的描述中具有物理应用。结果表明，对于宽度为D且具有宽度为 Δ的窄槽的理想导电（不可渗透）屏幕周围的磁场流（或流体动力学情况下的不可压缩流体流），大量通量通过该槽，因此，例如，在宽度为 Δ = 0.01 D的槽上平均的磁场（流体动力学问题中的速度）将是其远上游值的 26 倍。流体动力学问题也适用于圆形屏幕和孔口的轴对称情况。在这种情况下，如果孔口足够小，则流体通量证明与孔口直径Δ成比例，而如果Δ减小，则孔口中的流体速度增加 1/ Δ，即，甚至比平面几何中的速度更快。