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Irrotational flow (of a magnetic field or incompressible fluid) around a screen with a slot

机译:在带槽的屏幕周围的无引发流量(磁场或不可压缩的流体)

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摘要

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 Delta 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 Delta = 0.01D 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 Delta, whereas fluid speed in the orifice increases as 1/Delta if Delta is decreased, i.e., even faster than in plane geometry.
机译:关于无旋流动通过障碍物的问题可能在磁学和静电学以及不可压缩流体流体动力学流动的描述中有物理应用。结果表明,对于磁场流(或流体力学情况下的不可压缩流体流),在宽度为D的理想导电(不可渗透)筛网周围,有一个宽度为δ的窄槽,有大量磁通通过该槽,因此,例如,宽度δ=0.01D的狭缝上的平均磁场(流体力学问题中的速度)将比其远上游值大26倍。对于圆形筛网和孔口的轴对称情况,也可导出流体动力学问题。在这种情况下,如果节流孔足够小,则流体流量与节流孔直径δ成比例,而如果δ减小,则节流孔中的流体速度增加为1/δ,即,甚至比平面几何结构更快。

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